ormulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of Product A and $5 on each unit of Product B. To manufacture a unit of Product A requires 5 min on Machine I and 4 min on Machine II. To manufacture a unit of Product B requires 8 min on Machine I and 5 min on Machine II. There are 286 min available on Machine I and 198 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars?
ormulate but do not solve the following exercise as a linear programming problem.
A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of Product A and $5 on each unit of Product B. To manufacture a unit of Product A requires 5 min on Machine I and 4 min on Machine II. To manufacture a unit of Product B requires 8 min on Machine I and 5 min on Machine II. There are 286 min available on Machine I and 198 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars?
| Maximize | P | = |
|
subject to the constraints | |
| Machine I |
|
||||
| Machine II |
|
||||
| x ≥ 0 | |||||
| y ≥ 0 |
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
