申論題

3.(20%) A company makes two substitute products whose demand functions are x₁ = 200(p₂ - p₁), x₂ = 500 + l00p₁ - 180p₂, where p₁ and p₂ are the prices per unit and x₁ and x₂ are the numbers of units sold. The cost of producing the two products are $ 0.5 and $ 0.75 per unit.

(b) Find the prices that will yield maximum profit.