A manufacturer has a maximum of 240, 360, and 180 kilograms of wood, plastic and steel available. The company produces two products, A and B. Each unit of A requires 1, 3 and 2 kilograms of wood, plastic and steel respectively; each unit of B requires 3, 4 and 1 kilograms of wood, plastic and steel respectively, and each unit of B requires 3, 4 and 1 kilograms of wood, plastic and steel respectively. The profit per unit of A and B is $4.00 and $6.00 respectively.

Question

Identify all constraints.
Identify all applicable corner points of the feasibility region.
How many units of A and B should be manufactured in order to maximize profits? What would the maximum profit be?

Answer 1

Constraints:
Wood: x + 3y ≤ 240
Plastic: 3x + 4y ≤ 360
Steel: 2x + y ≤ 180

Corner Points:
(0, 0), (80, 0), (0, 90), (60, 45)

The maximum profit would be achieved by producing 60 units of A and 45 units of B, for a total profit of $420.