Workload Scheduling

Published: 2021-06-29 06:58:22
essay essay

Category: Business

Type of paper: Essay

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1.
a) Define the decision variables.
Oi = number of one month contract employees hired (where i = 1, 2, 3, 4, 5, 6 for January, February, March, April, May, June)
Wi = number of two month contract employees hired (where i = 1, 2, 3, 4, 5 for January, February, March, April, May)
Hi = number of three month contract employees hired (where i = 1, 2, 3, 4 for January, February, March, April)

b) Define the objective function
Min. total wage costs for contract employees (cost per contract length) x (number of contracts of each length used)
Min. 2,875*Oi + 5,675*Wi + 8,375*Hi
c) Define the constraints
O1 + W1 + H1 >= 10
W1 + H1 + O2 + W2 + H2 >= 23
H1 + W2 + H2 + O3 + W3 + H3 >= 19
H2 + W3 + H3 + O4 + W4 + H4 >= 26
H3 + W4 + H4 + 05 + W5 >= 20
H4 + W5 + O6 >= 14
Oi, Wi, Hi >= 0
Oi, Wi, Hi must be an integer


d) Determine the optimal solutions:

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