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

Answer:

50,700 $

Step-by-step explanation:

It is given that:

• Formula of the revenue is: $3x^2+180x$
• Formula of the cost is: $3x^2-160x+300$
• x = 150

Profit = Revenue - Cost

Therefore, substitute with x = 150 in the formulas given to get the revenue and the cost.

Revenue = $3(150)^2+180(150)=94500$ $

Cost = $3(150)^2-160(150)+300=43800$ $

Therefore, profit = 94500-43800=50,700 $