PROB AND S 623 Mid Term PRACTICE ASSIGNMENT 1. All Answers Provided.

PROB AND S 623 Mid Term PRACTICE ASSIGNMENT 1 1. Award: 10 out of 10.00 points MC Qu. 22 Which of the following is not a basic questi... Which of the following is not a basic question in capacity planning? what ...

PROB AND S 623 Mid Term PRACTICE ASSIGNMENT 1 1. Award: 10 out of 10.00 points MC Qu. 22 Which of the following is not a basic questi... Which of the following is not a basic question in capacity planning? what kind is needed how much is needed when is it needed *who will pay for it what it will be used for Type, quantity, and timing are the essential elements of the capacity decision. 2. Award: 10 out of 10.00 points MC Qu. 30 Efficiency is defined as the ratio of: Efficiency is defined as the ratio of: *actual output to effective capacity. actual output to design capacity. design capacity to effective capacity. effective capacity to actual output. design capacity to actual output. Efficiency measures the usage of effective capacity. 3. Award: 10 out of 10.00 points MC Qu. 52 For fixed costs of $2,000, revenue per unit ... For fixed costs of $2,000, revenue per unit of $2, and variable cost per unit of $1.60, the break-even quantity is: 1,000. 1,250. 2,250. *5,000. 3,000. Dividing the fixed costs of $2,000 by the per-unit contribution margin of $0.40 leads to a break-even quantity of 5,000 units. References 4. Award: 10 out of 10.00 points MC Qu. 53 Which of the following would not be a potent... Which of the following would not be a potential upside in a decision to outsource? supplier capacity potential to lower fixed costs supplier expertise *knowledge sharing supplier cost Loss of direct control over operations, knowledge sharing, and the possible need to disclose proprietary information are three risks of outsourcing. 5. Award: 10 out of 10.00 points MC Qu. 62 The owner of Firewood To Go is considering b... The owner of Firewood To Go is considering buying a hydraulic wood splitter which sells for $50,000. He figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125. How many cords of wood would he have to split with this machine to break even? 5,000 3,000 *2,000 1,000 0 Divide the fixed cost of $50,000 by the per-cord contribution margin of $25. 6. Award: 10 out of 10.00 points MC Qu. 64 The owner of Firewood To Go is considering b... The owner of Firewood To Go is considering buying a hydraulic wood splitter which sells for $50,000. He figures it will cost an additional $100 per cord to purchase and split wood with this machine, while he can sell each cord of split wood for $125. If, for this machine, design capacity is 50 cords per day, effective capacity is 40 cords per day, and actual output is anticipated to be 35 cords per day, what would be its utilization? 100 percent 80 percent 75 percent *70 percent 0 percent Divide actual output by design capacity. 7. Award: 10 out of 10.00 points MC Qu. 66 The owner of a greenhouse and nursery is con... The owner of a greenhouse and nursery is considering whether to spend $6,000 to acquire the licensing rights to grow a new variety of rosebush, which she could then sell for $6 each. Per-unit variable cost would be $3. What would the profit be if she were to produce and sell 5,000 rosebushes? $0 *$9,000 $15,000 $10,000 $30,000 Total revenue would be $30,000. Total cost (fixed = $6,000, variable = $15,000) would be $21,000. 8. Award: 10 out of 10.00 points MC Qu. 76 Doctor J. is considering purchasing a new bl... Doctor J. is considering purchasing a new blood analysis machine to test for HIV; it will cost $60,000. He estimates that he could charge $25.00 for an office visit to have a patient's blood analyzed, while the actual cost of a blood analysis would be $5.00. What would be his profit if he were to perform 5,000 HIV blood analyses? $0 $40,000 $60,000 $25,000 $100,000 Total revenue would be $125,000. Total cost would be $85,000 (fixed = $60,000; variable = $25,000). 9. Award: 10 out of 10.00 points MC Qu. 80 Doctor J. is considering purchasing a new bl... Doctor J. is considering purchasing a new blood analysis machine to test for HIV; it will cost $60,000. He estimates that he could charge $25.00 for an office visit to have a patient's blood analyzed, while the actual cost of a blood analysis would be $5.00. If this new blood analysis machine has design and effective capacities of 6,000 and 5,000 blood analyses per year, respectively, and Dr. J. expects to be 80 percent efficient in his use of this machine, how many HIV blood analyses does he plan to perform each year? 3,200 4,800 *4,000 1,000 5,000 Multiply the effective capacity by 0.8. 10. Award: 10 out of 10.00 points MC Qu. 81 Operation X feeds into operation Y. Operatio... Operation X feeds into operation Y. Operation X has an effective capacity of 55 units per hour. Operation Y has an effective capacity of 50 units per hour. Increasing X's effective capacity to ensure that Y's utilization is maximized would be an example of ________ a(n) constraint. overcoming outsourcing insourcing cushioning *supporting Increasing the effective capacity of an operation that precedes a constraint is an example of supporting the constraint. 11. Award: 0 out of 10.00 points Show my answer Problem 5-2 In a job shop, effective capacity is only 50 percent of design capacity, and actual output is 80 percent of effective output. What design capacity would be needed to achieve an actual output of eight jobs per week? Explanation: Actual output Efficiency = ________________________________________ = 80% Effective capacity Actual output = .8 (Effective capacity) Effective capacity = .5 (Design capacity) Actual output = (.5)(.8)(Design capacity) Actual output = (.4)(Design capacity) Actual output = 8 jobs Utilization = .4 12. Award: 8 out of 10.00 points Show my answer Problem 5-3 A producer of pottery is considering the addition of a new plant to absorb the backlog of demand that now exists. The primary location being considered will have fixed costs of $9,200 per month and variable costs of 70 cents per unit produced. Each item is sold to retailers at a price that averages 90 cents. a. What volume per month is required in order to break even? b-1. What profit would be realized on a monthly volume of 61,000 units? (Omit the "$" sign in your response.) c. What volume is needed to obtain a profit of $16,000 per month? d. What volume is needed to provide a revenue of $23,000 per month? (Round your answer to the nearest whole number.) Explanation d. Contribution = FC / QBEP, BEP = FC / Contribution, Profit = (Units * Contribution) - FC, FC + Profit / Contribution = units Total Revenue = R × Q, so 13. Award: 5 out of 10.00 points Show my answer Problem 5-6 A real estate agent is considering changing her cell phone plan. There are three plans to choose from, all of which involve a monthly service charge of $20. Plan A has a cost of $.45 a minute for daytime calls and $.20 a minute for evening calls. Plan B has a charge of $.55 a minute for daytime calls and $.15 a minute for evening calls. Plan C has a flat rate of $80 with 200 minutes of calls allowed per month and a charge of $.40 per minute beyond that, day or evening. a. Determine the total charge under each plan for this case: 120 minutes of day calls and 40 minutes of evening calls in a month. (Omit the "$" sign in your response.) c. If the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (Round your answer to the nearest whole number.) d. Suppose that the agent expects both daytime and evening calls. At what point (i.e., percentage of call minutes for daytime calls) would she be indifferent between plans A and B? (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) c. Plan A is optimal for zero to less than 178 minutes. Plan C is optimal from 178 minutes or more. Plan B is never optimal. d. Setting these equal and solving, D = 1/2 E. Thus, if E = 100 minutes, then D = 50 minutes. Hence, for 1/3 daytime minutes, the agent would be indifferent between the two plans. 14. Award: 8.13 out of 10.00 points Show my answer Problem 5-11 A manager must decide which type of machine to buy, A, B, or C. Machine costs are as follows: Product forecasts and processing times on the machines are as follows: a. Assume that only purchasing costs are being considered. Which machine would have the lowest total cost, and how many of that machine would be needed? Machines operate 10 hours a day, 250 days a year. (Round up your answers to the next whole number. Omit the "$" sign in your response.) ________________________________________ b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $10 each, B machines have an hourly operating cost of $11 each, and C machines have an hourly operating cost of $12 each. Which machine would be selected, and how many of that machine would be needed, in order to minimize total cost while satisfying capacity processing requirements? (Do not round intermediate calculations and round your answers to the nearest whole number.) Explanation: a. You would have to buy two “A” machines at a total cost of $80,000, or two “B” machines at a total cost of $60,000, or one “C” machine at $80,000. b. Total cost for machine A 15. Award: 10 out of 10.00 points Show my answer Problem 5-12 A manager must decide how many machines of a certain type to purchase. Each machine can process 100 customers per day. One machine will result in a fixed cost of $2,000 per day, while two machines will result in a fixed cost of $3,800 per day. Variable costs will be $20 per customer, and revenue will be $45 per customer. a. Determine the break-even point for each range. b. If estimated demand is 90 to 120 customers per day, how many machines should be purchased? One machine Explanation: a. R = $45 per customer, VC = $20 per customer b. Since BEP for one machine is 80 and 80 < 90 and BEP for two machines is 152 > 120, we should purchase one machine, because even at the upper limit (120) we have not reached the break-even point associated with two machines. ASSIGNMENT 1 1. Award: 5 out of 5.00 points Show my answer Problem 5-1 Determine the utilization and the efficiency for each of these situations: a. A loan processing operation that processes an average of 2 loans per day. The operation has a design capacity of 18 loans per day and an effective capacity of 16 loans per day. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) b. A furnace repair team that services an average of 3 furnaces a day if the design capacity is 6 furnaces a day and the effective capacity is 5 furnaces a day. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) c. Would you say that systems that have higher efficiency ratios than other systems will always have higher utilization ratios than those other systems? Explanation: c. This is not necessarily true. If the design capacity is relatively high, the utilization could be low even though the efficiency was high. 2. Award: 1 out of 1.00 point MC Qu. 40 Which of the following is not a determinant ... Which of the following is not a determinant of effective capacity? Facilities *Actual output External factors Product mix Human factors Actual output can be limited by effective capacity. SB The owner of a greenhouse and nursery is con... The owner of a greenhouse and nursery is considering whether to spend $6,000 to acquire the licensing rights to grow a new variety of rosebush, which she could then sell for $6 each. Per-unit variable cost would be $3. References Section BreakSB The owner of a greenhouse and nursery is con... 3. Award: 1 out of 1.00 point MC Qu. 63 What would the profit be if she were to prod... What would the profit be if she were to produce and sell 5,000 rosebushes? $10,000 $30,000 $0 $15,000 *$9,000 Total revenue would be $30,000. Total cost (fixed = $6,000, variable = $15,000) would be $21,000. References Multiple ChoiceMC Qu. 63 What would the profit be if she were to prod... 4. Award: 1 out of 1.00 point MC Qu. 64 How many rosebushes would she have to produc... How many rosebushes would she have to produce and sell in order to break even? 1,600 1,500 1,000 2,400 *2,000 Divide the fixed cost of $6,000 by the per-unit contribution margin of $3. References Multiple ChoiceMC Qu. 64 How many rosebushes would she have to produc... 5. Award: 1 out of 1.00 point MC Qu. 65 How many rosebushes would she have to produc... How many rosebushes would she have to produce and sell in order to make a profit of $6,000? 1,600 2,400 3,000 1,000 *4,000 Add the desired profit of $6,000 to the fixed cost, then divide the sum by the per-unit contribution margin. References Multiple ChoiceMC Qu. 65 How many rosebushes would she have to produc... 6. Award: 1 out of 1.00 point MC Qu. 66 If her available land has design and effecti... If her available land has design and effective capacities of 3,000 and 2,000 rosebushes per year respectively, and she plans to grow 1,200 rosebushes each year on this land, what will be the utilization of this land? 60% 100% 0% 67% *40% Divide actual output by the design capacity. References Multiple ChoiceMC Qu. 66 If her available land has design and effecti... 7. Award: 1 out of 1.00 point MC Qu. 67 If her available land has design and effecti... If her available land has design and effective capacities of 3,000 and 2,000 rosebushes per year, respectively, and she expects to be 80% efficient in her use of this land, how many rosebushes does Rose plan to grow each year on this land? 2,000 1,000 *1,600 2,400 3,000 Multiply the effective capacity of 2,000 rosebushes by 0.8. 8. Award: 1 out of 1.00 point MC Qu. 35 The ratio of actual output to design capacit... The ratio of actual output to design capacity is: actual capacity efficiency *utilization design capacity effective capacity Utilization measures the usage of design capacity. 9. Award: 5 out of 5.00 points Show my answer Problem 5-11 A manager must decide how many machines of a certain type to purchase. Each machine can process 100 customers per day. One machine will result in a fixed cost of $2,000 per day, while two machines will result in a fixed cost of $4,000 per day. Variable costs will be $18 per customer, and revenue will be $45 per customer. a. Determine the break-even point for each range. (Round your answers to the next whole number.) b. If estimated demand is 90 to 120 customers per day, how many machines should be purchased? One machine Explanation: a. R = $45 per customer, VC = $18 per customer b. Since BEP for one machine is 75 and 75 < 90 and BEP for two machines is 149 > 120, we should purchase one machine, because even at the upper limit (120) we have not reached the break-even point associated with two machines. 10. Award: 1 out of 1.00 point MC Qu. 25 Which of the following is the case where cap... Which of the following is the case where capacity is measured in terms of inputs? Hospital Theater Restaurant *All of these None of these 11. Award: 1 out of 1.00 point MC Qu. 50 What is the break-even quantity for the foll... What is the break-even quantity for the following situation? FC = $1,200 per week VC = $2 per unit Rev = $6 per unit *300 200 600 100 1,200 A volume of 300 units leads to $1,200 in margin to offset fixed costs. 12. Award: 1 out of 1.00 point MC Qu. 30 Efficiency is defined as the ratio of: Efficiency is defined as the ratio of: design capacity to effective capacity effective capacity to actual output design capacity to actual output *actual output to effective capacity actual output to design capacity Efficiency measures the usage of effective capacity. PRACTICE ASSIGNMENT 2 1. Award: 8.89 out of 10.00 points Show my answer Problem 6-3 A manager wants to assign tasks to workstations as efficiently as possible, and achieve an hourly output of 4 units. The department uses a working time of 56 minutes per hour. Assign the tasks shown in the accompanying precedence diagram (times are in minutes) to workstations using the following rules: a. In order of most following tasks. Tiebreaker: greatest positional weight. a. In order of most following tasks. Tiebreaker: greatest positional weight. b. In order of greatest positional weight. c. What is the efficiency? (Round your answer to 2 decimal places. Omit the "%" sign in your response. ) Explanation: Desired output = 4 units per hour Operating time = 56 minutes First rule: most followers. Second rule: largest positional weight. First rule: Largest positional weight. Assembly Line Balancing Table (CT = 14) c. 2. Award: 10 out of 10.00 points Show my answer Problem 6-4 A producer of inkjet printers is planning to add a new line of printers, and you have been asked to balance the process, given the following task times and precedence relationships. Assume that cycle time is to be the minimum possible. a. Do each of the following: (2) Assign tasks to stations in order of greatest number of following tasks. Use greatest positional weight as a tiebreaker rule. (4) Compute the rate of output in printers per day that could be expected for this line assuming a 420-minute working day. (Round your answer to the nearest whole number.) b. Answer these questions: (1) What is the shortest cycle time that will permit use of only two workstations? (Round your answer to 1 decimal place.) (2) Determine the percentage of idle time that would result if two stations were used and each station was loaded with the worktime shown in Part b(1). (Leave no cells blank - be certain to enter "0" wherever required. Omit the "%" sign in your response.) Assign a, b, c, d and e to station 1.2:3 minutes [no idle time]. Assign f, g and h to station 2:2.3 minutes. (3) (4) 3. Award: 8.89 out of 10.00 points Show my answer Problem 6-7 For the set of tasks given below, do the following: b. Determine the minimum and maximum cycle times in seconds for a desired output of 500 units in a seven-hour day. (Round your answers to 1 decimal place.) c. Determine the minimum number of workstations for output of 500 units per day. (Round up your answer to the next whole number.) d. Balance the line using the greatest positional weight heuristic. Break ties with the most following tasksheuristic. Use a cycle time of 50 seconds. e. Calculate the percentage idle time for the line using the 50 second cycle time. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) Minimum cycle time = maximum task time = 50 seconds (results in 504 units of production) c. d. e. Idle time percent = 57 = 22.8 % (50)(5) 4. Award: 10 out of 10.00 points Show my answer Problem 6-8 A shop works a 400-minute day. The manager of the shop wants an output of 200 units per day for the assembly line that has the elemental tasks shown in the table. Do the following: c. Assign tasks according to the greatest positional weight rule. Use most following tasks as a tiebreaker. d. Compute the balance delay for each rule. Which one yields the better set of assignments in this instance? (Round your answer to 2 decimal places. Omit the "%" sign in your response.) rev: 02_04_2015_QC_CS-1682 b. CT = 400 = 2.0 minutes ________________________________________200 d. Balance delay: part b and c 1.5/5 x 2.0 = 15% Balance= (sum idle time/N)CT 5. Award: 10 out of 10.00 points MC Qu. 44 Job shops tend to be __________ while contin... Job shops tend to be __________ while continuous processes tend to be __________. in services; in manufacturing short-term and capital intensive; long-term and labor intensive *small scale and flexible; large-scale and inflexible standardized; customized low cost-per-unit; high cost-per-unit Job shops tend to be much smaller and more flexible than continuous processes. 6. Award: 10 out of 10.00 points MC Qu. 50 Cellular layout is a term associated with: Cellular layout is a term associated with: wireless telecommunication. *part families. functional (or process) layouts. assembly lines. job shops. Part families are produced on cells. 7. Award: 10 out of 10.00 points MC Qu. 51 The substitution of machinery that has sensi... The substitution of machinery that has sensing and control devices for human labor is best described by the term: *automation. feedback control. computer-aided manufacturing. computer-integrated manufacturing. flexible manufacturing system. Automation involves the substitution of machinery that has sensing and control devices for human labor. 8. Award: 10 out of 10.00 points MC Qu. 66 The type of layout which features department... The type of layout which features departments or other functional groupings in which similar activities are performed is: *process. product. fixed-position. mass. unit. Process layouts group similar activities. 9. Award: 10 out of 10.00 points MC Qu. 69 The grouping of equipment by the operations ... The grouping of equipment by the operations needed to perform similar work for part families is: product layout. *cellular manufacturing layout. functional layout. fixed-position layout. process layout. 10. Award: 10 out of 10.00 points MC Qu. 94 Which of these items would be most likely to... Which of these items would be most likely to be made with a fixed-position layout? *a Boeing 777 jet aircraft applesauce a computer chip toothpaste all of these 11. Award: 10 out of 10.00 points MC Qu. 130 What is it about job shops that make them ap... What is it about job shops that make them appropriate for products in the introductory phase of their life cycle? efficiency technology *flexibility high volume capacity rigidity Job shop processes are more appropriate for relatively new products. ASSIGNMENT 2 1. Award: 1 out of 1.00 point MC Qu. 73 Product profiling links key product or ... Product profiling links key product or service requirements to: *Process capabilities Market conditions Order sizes Pricing strategies Schedule changes Product profiling allows firms to match what they should (or must) do with respect to product or service requirements. 2. Award: 1 out of 1.00 point MC Qu. 58 Layout planning is required because ... Layout planning is required because of: (I) Efficient operations (II) Accidents or safety hazards (III) New products or services (IV) Morale problems I and II I and III *II, III, and IV II and IV I, II, III, and IV A number of factors affect layout planning. 3. Award: 1 out of 1.00 point MC Qu. 96 A product focused, single piece flow, pull ... A product focused, single piece flow, pull production system would be called a: continuous flow assembly line job shop non-repetitive process *cellular layout 4. Award: 1 out of 1.00 point MC Qu. 79 A production line is to be designed for a ... A production line is to be designed for a job with three tasks. The task times are 0.4 minutes, 1.2 minutes, and 0.5 minutes. The maximum cycle time in minutes is: 0.7 0.8 0.3 1.4 *2.1 This assumes only one workstation. 5. Award: 5 out of 5.00 points Show my answer Problem 6-4 A producer of inkjet printers is planning to add a new line of printers, and you have been asked to balance the process, given the following task times and precedence relationships. Assume that cycle time is to be the minimum possible. a. Do each of the following: (2) Assign tasks to stations in order of greatest number of following tasks. (3) Determine the percentage of idle time. (Round your answer to 2 decimal places. Omit the "%" sign in your response.) b. Answer these questions: (1) What is the shortest cycle time that will permit use of only two workstations? (Round your answer to 1 decimal place.) (2) Determine the percentage of idle time that would result if two stations were used and each station was loaded with the worktime shown in Part b(1). (Leave no cells blank - be certain to enter "0" wherever required. Omit the "%" sign in your response.) (3) What is the daily output under this arrangement using the operating time from Part a(4)? (Round your answer to 1 decimal place.) (4) Determine the output rate that would be associated with the maximum cycle time using the operating time from Part a(4). (Round your answer to 2 decimal places.) rev: 03_15_2012, 01_15_2013, 11_15_2013_QC_39907 Explanation: a. (2) (3) (2) Assign a, b, c, d and e to station 1:2:3 minutes [no idle time]. Assign f, g and h to station 2:2.3 minutes. (3) Award: 1 out of 1.00 point MC Qu. 97 Which one of these is a tool used to tell ... Which one of these is a tool used to tell a machine the details of the operations to be performed? CAD CIM automation CNC CAM PRACTICE ASSIGNMENT 3 1. Award: 10 out of 10.00 points Show my answer Problem 18-1 Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 3.2 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson). a. Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.) b. Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) c. Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Round your answer to 2 decimal places.) d. Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.) Explanation: [Infinite source, single channel] a. Percentage of time idle is 1 – ρ = 16%. Thus 16%(8) = 1.28 hours. d. P(Ls ≥ 2) = 1 – [Po + P1] = 1 – [.1600 + .1600(.8400)] = 0.7056 2. Award: 10 out of 10.00 points Show my answer Problem 18-3 Many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 81 seconds completing his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, including waiting in line and completing transactions. (Do not round intermediate calculations. Round your answer to the nearest whole number.) b. Determine the probability that a customer will not have to wait upon arriving at the automatic teller machine. (Round your answer to 2 decimal places.) c. Determine the average number of customers waiting to use the machine. (Round your answer to 2 decimal places.) Explanation: λ = 30/hr. Single channel c. Lq = 1.40 customers (see part a.) 3. Award: 6 out of 10.00 points Show my answer Problem 18-6 Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 27 an hour between 7:00 p.m. and 9:00 p.m. Currently two inspectors are on duty during those hours, each of whom can inspect 15 trucks an hour. Use Table 1. a. How many trucks would you expect to see at the weighing station, including those being inspected?(Round your answer to 3 decimal places.) b. If a truck was just arriving at the station, about how many minutes could the driver expect to be at the station? (Round your answer to 2 decimal places.) c. What is the probability that both inspectors would be busy at the same time?(Round your answer to 4 decimal places.) d. How many minutes, on average, would a truck that is not immediately inspected have to wait? (Round your answer to the nearest whole number.) f. What is the maximum line length for a probability of .93? (Round up your answer to the next whole number.) Explanation: ln ρ 4. Award: 10 out of 10.00 points Show my answer Problem 18-13 Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crew consisting of two workers can load a truck in about 30 minutes. Crew members receive $10 per hour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $60. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucks per hour. Assume rates are Poisson. a. Would the third crew member be economical? (Do not round intermediate calculations. Omit the "$" sign in your response.) b. Would a fourth member be justifiable if the resulting service capacity were 2.6 trucks per hour? (Do not round intermediate calculations. Round your answer to 2 decimal places. Omit the "$" sign in your response.) Explanation: a & b. [Infinite source, single channel] [truck cost] ASSIGNMENT 3 1. Award: 6 out of 6.00 points Show my answer You received credit for this question in a previous attempt Problem 18-13 Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crew consisting of two workers can load a truck in about 30 minutes. Crew members receive $10 per hour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $62. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucks per hour. Assume rates are Poisson. a. Would the third crew member be economical? (Round your intermediate and final answer to 2 decimal places. Omit the "$" sign in your response.) b. Would a fourth member be justifiable if the resulting service capacity were 2.6 trucks per hour?(Round your intermediate and final answer to 2 decimal places. Omit the "$" sign in your response.) Explanation: a & b. [Infinite source, single channel] [truck cost] 2. Award: 8 out of 8.00 points Show my answer You did not receive full credit for this question in a previous attempt Problem 18-5 A small town with one hospital has 3 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average .60 per hour and tend to be Poisson-distributed. Travel and assistance time averages 2 hours per call and follows an exponential distribution Use Table 1. a. Find system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) c. Find the average time customers wait for an ambulance. (Round your answer to 3 decimal places.) d. If there are 3 ambulances, find the probability that all ambulances will be busy when a call comes in.(Round intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Explanation: [Infinite source, multiple channel] λ = 0.60 requests/hr. μ = .50 request/hr. M = 3 ambulances From infinite queuing table with M = 3, Lq = 0.094 c. Award: 6 out of 6.00 points Show my answer You did not receive full credit for this question in a previous attempt Problem 18-2 A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 77 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Explanation: [Infinite source, single channel, constant service] λ = 77 customers/hr. μ = 120 customers/hr. a. b. c.