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?

Answer 1

`\bf \stackrel{\mathbb{P~R~O~F~I~T}}{\stackrel{Revenue}{(3x^2+180x)}~~~~-~~~~\stackrel{Costs}{(3x^2-160x+300)}}\implies 20x+300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{profit equation}}{P(x)=20x+300}\implies \stackrel{\textit{150 televisions sold, x = 150}}{P(150)=20(150)+300}\implies P(150)=3300`

Answer 2

The answer is C. - $50,700

Explanation: