two products

Question

A manufacturer produces two products, A and B. For each unit of A sold the profit is $8. For each unit of B sold profit is $11. From past experience it has been found that 25 percent more of A can be sold than of B. Next year, the manufacturer desires to a total profit of 42,000. How many units of each product must be sold?

Answer 1

8(1.25B) + 11B = 42000

 

10B + 11B = 42000

 

21B = 42000

 

B = 2000

 

2000 units of B

2500 units of A

 

CHECK: 2500 x 8 + 2000 x 11 = 20000 + 22000 = 42000