Question

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 – 160x + 300. The variable x is the number of televisions sold.

If 150 televisions are sold, what is the profit?

$2,700
$6,000
$50,700
$51,300

Answer 1

Profit = revenue − cost
= (3x^2 + 180x) − (3x^2 − 160x + 300)
= 340x − 300.

For x = 150:
Profit = 340(150) − 300 = 51,000 − 300 = $50,700.

Answer: $50,700.