申論題

3.A corporation manufactures a product at two locations. The cost functions for producing x₁ units at location 1 and x₂ units at location 2 are C₁=0.05x₁²+15x₁+5400 and C₂=0.03x₂²+15x₂+6100 respectively. The demand function for the product is p=225-0.4(x₁+x₂). Find the production levels at the two locations that will maximize the profit.