Question:A company produces two types of products, A and B. Each product requires different amounts of raw material and labor. The company has a limited supply of 500 units of raw material and 600 hours of labor. The production of one unit of product A requires 2 units of raw material and 3 hours of labor, while the production of one unit of product B requires 4 units of raw material and 2 hours of labor. Each unit of product A generates a profit of $50, and each unit of product B generates a profit of $40.
Determine:
How many units of product A and product B should the company produce to maximize profit?
What is the maximum possible profit?
Constraints:
Raw material constraint:
2
x
+
4
y
500
2x+4y500
Labor constraint:
3
x
+
2
y
600
3x+2y600
Non-negativity constraint:
x
0
,
y
0
x0,y0
Where:
x
x is the number of units of product A produced.
y
y is the number of units of product B produced.
