Description
a company x units of a product per month, where C(x) represents the total cost and R(x) represents the total revenue for the month. The functions are modeled by C(x) = 300x + 250 and R(x) = -0.5x^2 + 800x - 100. the profit is the difference between revenue and cost where P(x) = R(x) - C(x). What is the total profit, P(x), for the month?
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Explanation & Answer
The Profit P (x) = R (x) - C (x)
= ( -0.5 x^2 + 800x -100) - ( 300x +250)
= - 0.5 x^2 + 500x -350
Answer: P (x) = - 0.5 x ^2 + 500x - 350
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