The Kartick Company is trying to determine how much of each of two products to produce over the coming planning period. There are three departments, A, B, and C, with limited labor hours available in each department. Each product must be processed by each department and the per-unit requirements for each product, labor hours available, and per-unit profit are as shown below. Labor required in each department Product (hours/unit) Labor Hours Department Product 1 Product 2 Available A 1.00 0.30 100 B 0.30 0.12 36 C 0.15 0.56 50 Profit Contribution $33.00 $24.00 Let x1 = the amount of product 1 to produce x2 = the amount of product 2 to produce Maximize 33 x1 + 24 x2 s.t. 1.0 x1 + 0.30 x2 ≤ 100 Department A 0.30 x1 + 0.12 x2 ≤ 36 Department B 0.15 x1 + 0.56 x2 ≤ 50 Department C x1, x2 ≥ 0
The Kartick Company is trying to determine how much of each of two products to produce over the coming planning period. There are three departments, A, B, and C, with limited labor hours available in each department. Each product must be processed by each department and the per-unit requirements for each product, labor hours available, and per-unit profit are as shown below.
|
Labor required in each department |
|||
|
Product (hours/unit) |
Labor Hours |
||
|
Department |
Product 1 |
Product 2 |
Available |
|
A |
1.00 |
0.30 |
100 |
|
B |
0.30 |
0.12 |
36 |
|
C |
0.15 |
0.56 |
50 |
|
Profit Contribution |
$33.00 |
$24.00 |
|
Let |
x1 = the amount of product 1 to produce |
|
x2 = the amount of product 2 to produce |
|
Maximize 33 x1 + 24 x2
s.t.
1.0 x1 + 0.30 x2 ≤ 100 Department A
0.30 x1 + 0.12 x2 ≤ 36 Department B
0.15 x1 + 0.56 x2 ≤ 50 Department C
x1, x2 ≥ 0
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