Colorado Technical University
MATH 451
math 451 pricing out new variables
Using the __________, the exact impact of the loss of resources from the existing
products can be calculated.
profit contribution
objective
...
Colorado Technical University
MATH 451
math 451 pricing out new variables
Using the __________, the exact impact of the loss of resources from the existing
products can be calculated.
profit contribution
objective function value
Solver Report
shadow prices
Unit D
Requirements:
Allowable
Increase Shadow Price Unit Price
Part 1 3 150 $2.1 $3
Part 2 2 125 $1.3 $5
Assembly
Time 1 100 $2.5 $10
Question 2
The minimum selling price for Unit D is __________.
3(2.1 + 3) + 2(1.3 + 5) + 2.5(10)
40.4
$40.40
$17.60
Question 3
If the company produces 50 of Unit D, their profit will be reduced __________.
$13.00
$6.20
$31.00
$30.00
Pricing out determines the __________ price for the product.
highest
minimum
maximum
average
For a product to be viable, it must have which of the following?
Shadow prices of the resources used higher than the selling price
Less resources than the other products
A selling price at least as high as the worth of the resources used by that product
A total worth of the resources higher than the selling price
A proposed product would use 2 units of resource A, which has an allowable increase of
400 and 1 unit of resource B, which has an allowable increase of 200 units. How would
the calculation be made for the 100% rule?
(2 / 400) + (1 / 200)
(2 / 400) / (1 / 200)
(2 / 400) × (1 / 200)
(2 + 1) × (400 + 200)
The worth of the resources needed by the new product is __________.
The product of the resources used multiplied by the sum of their shadow prices
The sum of the shadow prices of the resources used for that product
The sum of the number of each resource multiplied by the allowable change of that
resource
The sum of the number of each resource used multiplied by the shadow price of
that resource
The changes required for the new product are tested for validity using which of the
following?
Just the shadow prices of the resources to be used
The 100% rule
Just the right-hand side (RHS) values of the constraints
Just the allowable changes in the resources to be used
In the Pricing Out procedure, resources __________.
must be more than those measured by the 100% rule
must be able to be diverted from other resources in a worthwhile way
must be the same as those used by the other products
must have allowable changes in resource usage that are not infinite
Question 1
The profit for the company will be reduced by $2.60 for each __________ produced.
Unit A
Unit D
Unit B
Unit C
Which of the following question is to be considered in a pricing out study?
What is the maximum price for the product to make it a viable product?
Will the product be profitable to produce?
Are there enough resources to produce the product?
Is the cost of the product higher than that of other products?
The changes required for the new product are tested for validity using which of the
following?
Just the shadow prices of the resources to be used
Just the allowable changes in the resources to be used
The 100% rule
Just the right-hand side (RHS) values of the constraints
Using the __________, the exact impact of the loss of resources from the existing
products can be calculated.
profit contribution
shadow prices
objective function value
Solver Report
To show the shadow prices are valid, the __________ is checked.
sensitivity analysis
objective function value
Solver Report
100% Rule
A positive reduced cost indicates the total cost will __________ if the product is
produced.
not change
reduce
decrease
rise
The worth of the resources needed by the new product is __________.
The product of the resources used multiplied by the sum of their shadow prices
The sum of the number of each resource multiplied by the allowable change of that
resource
The sum of the shadow prices of the resources used for that product
The sum of the number of each resource used multiplied by the shadow price of
that resource
In using the 100% rule, what is compared?
The requirements of resources of the new product and the allowable changes in
those resources
The requirements of resources of the new product and the RHS constraints of those
resources
The requirements of resources of the new product and the selling price of the new
product
The requirements of resources of the new product and the unit costs of those
resources
A company is considering the addition of product D with a worth of resources of $11.00
and a cost to produce of $27.00, if the marketing company suggested selling price is
$35, you would decide to __________.
add product D and sell it at $40.00
add product D because the two selling prices are close
not produce product D because the suggested selling price is less than the minimum
selling price
add product D and sell product D for $35
In pricing out a proposed new product, which of the following steps is required?
Calculate the reduction of resources available for the existing products.
Establish new constraints for all of the products.
Determine the selling prices of all of the products.
Determine the worth of the resources needed by the new product.
Which of the following is a step to the pricing out procedure?
Calculate the minimum selling price for the new product.
Compare prices of the existing products with that of the new product.
Calculate the maximum selling price for the new product.
Calculate the actual demand for the new product.
Unit D
Requirements:
Allowable
Increase Shadow Price Unit Price
Part 1 3 150 $2.1 $3
Part 2 2 125 $1.3 $5
Assembly
Time 1 100 $2.5 $10
Question 4
The actual costs for the resources of the new product D are __________.
$900
$29
(3 + 2 + 1) * (3 + 5 + 10)
29
The difference between the marginal contribution to the objective function
value from the inclusion of a decision variable and the marginal worth of the
resources it consumes is the __________.
shadow price
allowable decrease
surplus
reduced cost
Which of the following defines pricing out?
The impact of going outside the allowable change in a product's objective function
coefficient (OFC)
The study of an organization's existing product mix
The study of the impact of a new decision variable for an organization
Setting a price an organization is will to pay for a resource
The addition of a new product will be recommended only if it is profitable to the
company to __________ resources from the current production.
increase
decrease
expand
redirect
The minimum selling price is the __________ of the cost to make the product and the
worth of the resources diverted from existing products.
total
difference
product
variance
Pricing out analyzes the impact of __________ to the existing LP model.
changes to a decision variable
a new decision variable
removing a variable
removing a decision variable
For a proposed product to be viable, using the pricing out procedure, the final result
must be __________.
a selling price greater than or equal to the worth of the resource
that the usage of resources must not exceed the right-hand side (RHS) values of the
constraints
a selling price in line with the selling prices of the other products
a 100% rule calculation in which the result is greater than 1
11
Unit D
Requirement
s:
Allowable
Increase Shadow Price
Part 1 3 150 $2.1
Part 2 2 125 $1.3
Assembly
Time 1 100 $2.5
Question 11
The required profits contribution for the new product of Unit D is __________.
3 * 2.1 + 2 * 1.3 * 1 * 2.5
$11.00
$11.40
11.4
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