SOLUTION: solve the following application involving functions exercises 54) If the inventor of exercise 53) charners $4 per unit, then his profit for producing and selling x unints is give

Question 43387: solve the following application involving functions
exercises 54) If the inventor of exercise 53) charners $4 per unit, then his profit for producing and selling x unints is given by the function P(x) =2.25x-7000
a) what is her profit if she sells 2000 units?
b) what is her profit if she sells 5000 units?
c) what is the break-even point for sales?
exercise 53) the inventor of a new product believes that the cost of producing the product is given by the function c(x)=1.75x+7000
How much does it cost to produce 2000 units of her invention
Answer by benni1013(206) (Show Source): You can put this solution on YOUR website!
This is mostly a plug and chug question.
We know that this is our profit equation:
P(x) =2.25x-7000
To find the answer to a and b just plug in 2000 and 5000 respectively for x.
2.25(2000)-7000==>4500-7000==>-2500. She actually creates a loss
2.25(5000)-7000==>11250-7000==>4250.
To find the answer to C you need to set the profit equation equal to 0.
P(x)=2.25x-7000==>0=2.25x-7000==>7000=2.25x==>x=3112
For the cost: 1.75(2000)+7000==>3500
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