A manufacturer produces two items A and B. Each unit of

Solution

Let x be the number of units of item A produced, and y be the number of units of item B produced. We are given the following information:

• Each unit of A requires 2 units of raw material.
• Each unit of B requires 1 unit of raw material.
• The total raw material available is 80 units.

The total amount of raw material used to produce x units of A and y units of B can be expressed as: Raw material used = (Raw material per unit of A) × (Number of units of A) + (Raw material per unit of B) × (Number of units of B) Raw material used = 2×x+1×y=2x+y The total raw material used cannot exceed the total raw material available. Therefore, the constraint on raw material is: 2x+y≤8