Question

profit is the difference between revenue and cost. the revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial (2x^{2}+55x + 10). the cost, in dollars, of producing the cell phones can be modeled by (2x^{2}-15x - 40). the variable (x) represents the number of cell phones sold. what expression represents the profit, and what is the profit if 240 cell phones are sold? (40x - 30); (2,400) (40x - 30); (9,570) (70x + 50); (16,850) (70x + 50); (28,800)

Explanation:

Step1: Find the profit expression

Profit \(P=\text{Revenue}-\text{Cost}\).
Given Revenue \(R = 2x^{2}+55x + 10\) and Cost \(C=2x^{2}-15x - 40\).

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Step2: Calculate the profit when \(x = 240\)

Substitute \(x = 240\) into \(P=70x+50\).
\(P=70\times240+50\)
\(P = 16800+50\)
\(P=16850\)

Answer:

C. \(70x + 50\); \(\$16,850\)