Question: A company makes two products, A and B. The manager estimates that if x% of the total marketing budget is spent on marketing product A,

A company makes two products, A and B. The manager estimates that if x% of the total marketing budget is spent on marketing product A, then the total profit gained from both products will be P thousand dollars, where

20+ 0.7x P(x)=26+0.5x (80 0.25x for 0 < x < 30 for

a. Sketch the graph of P(x).

b. What is the company’s profit when the marketing budget is split equally between the two products?

c. Express the total profit P in terms of the percentage y of the budget that is spent on marketing product B.

20+ 0.7x P(x)=26+0.5x (80 0.25x for 0 < x < 30 for 30 < x < 72 for 72 x 100

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