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:

Define the profit polynomial

$$
LATEXBLOCK0
$$

Simplify the expression

$$
LATEXBLOCK1
$$

Evaluate for x = 240

$$
LATEXBLOCK2
$$

Answer:

• (A) \(40x - 30\); \$2,400
• (B) \(40x - 30\); \$9,570
• (C) \(70x + 50\); \$16,850 (Correct answer)
• (D) \(70x + 50\); \$28,800