Question

ABC furniture company makes chairs and desks from two resources-labor and wood. The company has 90 hours of labor and 40 feet of wood available each day. Demand for chair is limited to 15 per day. Each chair requires 8 hours of labor and 3 feet of wood, whereas a desk requires 10 hours of labor and 6 feet of wood. The profit for each chair is $50 and for each desk is $70. The company wants to determine the number of chairs and desks to make in order to maximize profit. Formulate a linear programming model for this problem.

Answer 1

Step-by-step explanation:

Linear Programming formulation:Total profit = 70X1 + 50X2= 170

Subject to:8X1 + 3X2 <= 14

10X1 + 6X2<= 22

X2<=15

X1>= 0

X2>=0