A manufacturer wants to invest $100000 in the production of two products A and B. The cost and demand functions for the two products are: C(q) = 509 +30000 C(q) = 100q +20000 P.(9) = 1500-4 P,(9)=1000-4 Letx denote the number of units of product A, and let y denote the number of units of product B. iii) What will the maximum profit be?

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A manufacturer wants to invest $100000 in the production of two products A and B. The cost and demand functions for the two products are: C(q) = 509 +30000 C(q) = 100q +20000 P.(9) = 1500-4 P,(9)=1000-4 Letx denote the number of units of product A, and let y denote the number of units of product B. ii) How many units of each product should be produced in order to maximize the profit?

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