Question

Based on the following labor/material/costs/revenue structure, develop a production plan to maximize profit. You have 40 hours per week at the shown rate at each position type and can plan on 15% additional hours at overtime rates of 150%. You have room for a total of 8 positions (V through Z) – employees are only assigned to one position. All positions (employees) will be paid for at least 40 hours per week. At least 1 unit of each product (A through F) must be made.

Positions/Products
A B C D E F Cost/Each
V 5 0 2 0 7 3 25.00
W 3 3 4 2 0 0 28.00
X 4 2 2 3 3 0 30.00
Y 0 5 4 3 2 3 32.00
Z 4 3 0 2 3 4 35.00

Material
1 1.2 .8 .7 1.25 .7 100.00

Revenue/Each
703 613 525 468 651 466