SOLUTION: If the inventor in Example 1 charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) = 2.25 - 7000 What is her profit if she sell

Algebra.Com
Question 375322: If the inventor in Example 1 charges $4 per unit, then her profit for producing and selling x units is given by the function
P(x) = 2.25 - 7000
What is her profit if she sells 2000 Units?
What is her profit if she sells 5000 units?
What is the break-even point for sales?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
profit for producing and selling x units
P(x) = 2.25x - 7000
profit at 2000 Units
P(2000) = 2.25*2000 - 7000 = -$2500
profit at 5000 Units
P(5000) = 2.25*5000 - 7000 = $4250
break-even point for sales
0 = 2.25x - 7000
7000 = 2.25x
7000/2.25 = x
3111.11 Units = x
RELATED QUESTIONS

The inventor of a new product believes that the cost of producing the product is given by (answered by stanbon)
Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit (answered by venugopalramana)
Solve the following applications involving functions. If the inventor in... (answered by JP)
If the inventor in Exercise 53 charges $4 per unit, then her profit for producing and... (answered by 303795)
I would like to ask a business and finance applcation involving functions. The inventor... (answered by scott8148)
The inventor of a new product believes that the cost of producing the product is given by (answered by funmath)
If an inventor charges $4 per unit then her profit for producing and selling x units is... (answered by Fombitz)
Can someone help me on this problem? If the inventor charges $4 per unit, then her... (answered by Nate)
If the inventor charges $4 per unit, then her profit for producing and selling x units... (answered by Edwin McCravy)