A furniture company is producing two types of furniture.Product A requires 8 board feet of wood and 2 lbs of wicker.Product B requires 6 board feet of wood and 6 lbs of wicker.There are 2000 board feet of wood available for product and 1000 lbs of wicker.Product A earns a profit margin of $30 a unit and Product B earns a profit margin of $40 a unit.Which of these is an appropriate constraint for Wood?
A)30A + 40B ≤ 2000
B)8A + 6B ≤ 2000
C)8A + 2B ≤ 2000
D)2A + 6B ≤ 2000

Question

Quizplus · Accepted Answer

The constraint for wood should limit the total amount of wood used for both products. According to the information given, product A requires 8 board feet of wood per unit and product B requires 6 board feet of wood per unit. The maximum amount of wood available is 2000 board feet. Therefore, the constraint can be written as:
8A + 6B ≤ 2000
This means that the total amount of wood used in producing both products A and B should not exceed 2000 board feet.

A Furniture Company Is Producing Two Types of Furniture