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ACT
ACT Math Section

Maximize Production of Product P

Very Hard Integrating Essential Skills Arithmetic

A company produces two products, P and Q. The cost to produce product P is given by the equation $$C_P(x) = 4x + 50$$, where $$x$$ is the number of units produced. The cost to produce product Q is given by the equation $$C_Q(y) = 6y + 30$$, where $$y$$ is the number of units produced. If the company has a total budget of $$500$$ to produce both products combined, what is the maximum number of units of product P that can be produced if 20 units of product Q are produced?

Hint

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