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

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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) About Me  (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