Suppose ashoes factory produces both low grade and high grade shoes.the factory produces at least twice as many low grade as high grade shoes .the maximum possible production is 500 pairs of shoes.adealer calls for delivery of at least 100 high grade pairs of shoes per day.suppose the operation makes aprofit of birr 2 per apair of shoes on high grade shoes and birr 1per apair of shoes on low grade shoes.how many pairs of shoes of each type of should be produced for maximum profit ?

Question

Suppose ashoes factory produces both low grade and high grade shoes.the factory produces at least twice as many low grade as high grade shoes .the maximum possible production is 500 pairs of shoes.adealer calls for delivery of at least 100 high grade pairs of shoes per day.suppose the operation makes aprofit of birr 2 per apair of shoes on high grade shoes and birr 1per apair of shoes on low grade shoes.how many pairs of shoes of each type of should be produced for maximum profit ?
Hint  let x denotes the number of high grade shoes and y the number of low grade shoes

Bot · Answer

The equation to maximize profit is: 2x + y = 500

The equation to satisfy the dealer's demand is: x ≥ 100

The equation to satisfy the ratio of low grade to high grade shoes is: y = 2x

Solving the equations simultaneously, we get x = 200 and y = 400.

Therefore, the factory should produce 200 pairs of high grade shoes and 400 pairs of low grade shoes for maximum profit.

Answer

suppose some dork posted the same problem 4 times in quick succession...