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Pearson Edexcel Level 3 GCE 9FM0/4D 2022 Further Mathematics Advanced PAPER 4D: Decision Mathematics 2

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Four workers, A, B, C and D, are to be assigned to four tasks, 1, 2, 3 and 4. Each task must be assigned to just one worker and each worker must do only one task. The cost of assigning each worker t ... o each task is shown in the table below. The total cost is to be minimised. 1 2 3 4 A 32 45 34 48 B 37 39 50 46 C 46 44 40 42 D 43 45 48 52 (a) Reducing rows first, use the Hungarian algorithm to obtain an allocation that minimises the total cost. You must make your method clear and show the table after each stage. (5) (b) State the minimum total cost. (1) (Total for Question 1 is 6 marks) 2. The general solution of the second order recurrence relation u n +2 + k1un +1 + k2un = 0 n  0 is given by u n = (A + Bn)(–3)n where A and B are arbitrary non‑zero constants. (a) Find the value of k1 and the value of k2 (2) Given that u0 = u1 = 1 (b) find the value of A and the value of B. (2) [Show More]

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