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.

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