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Ricky owns a store that sells computers. his profit, in dollars, is represented by the function p(x)=x^3-22x^2-240x where x is the number of computers sold. Ricky hopes to make a profit of at least $10,000 by the time he sells 36 computers. Explain whether or not Ricky will meet his goal. Justify your reasoning.

Sagot :

Ricky's goal is not achievable. This is because selling 36 computers would not yield a profit of at least $10,000.

What is profit?

A profit is earned when total revenue is greater than total cost.

Profit = total revenue - total cost.

Is Ricky's goal achievable?

Given this function:  p(x)=x^3-22x^2-240x  substitute for x in the equation

(36)^3 - 22(36^2) - (240 x 36)

46,656 - 28,512 - 8640

=$9504

If he sells 36 computers, he would have a profit of $9504 and would not achieve his goal.

To learn more about profit, please check: https://brainly.com/question/26181966