SOLUTION: the inventor of a new product believes that the cost of producing the product is given by the function C(x)=1.75x +7000 If the inventor charges $4.00 per unit, then her profit

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Question 49122This question is from textbook Beginning Algebra
: the inventor of a new product believes that the cost of producing the product is given by the function
C(x)=1.75x +7000
If the inventor charges $4.00 per unit, then her profit for producing and selling x units 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
what is the break even point for sales.
Please help This question is from textbook Beginning Algebra

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
the inventor of a new product believes that the cost of producing the product is given by the function
C(x)=1.75x +7000
If the inventor charges $4.00 per unit, then her profit for producing and selling x units is given by the function
P(x)=2.25x-7000
a) what is her profit if she sells 2000 units.........
THERE APPEARS TO BE SOME CONTRADICTIONS OR SUPERFLUOUS MATERIAL IN THE PROBLEM.IF PROFIT FUNCTION IS GIVEN DIRECTLY THERE IS NO NECESSITY FOR COST FUNCTION AND OTHER DATA.
SO IF WE GO BY THE PROBLEM AS GIVEN THEN ANSWER IS AS FOLLOWS.
P(x)=2.25x-7000
P(2000)=2.25*2000-7000=4500-7000=-2500
ANSWER IS LOSS OF 2500 AT X=2000
b)what is her profit if she sells 5000 units
P(5000)=2.25*5000-7000=11250-7000=4250 PROFIT AT X=5000
what is the break even point for sales.
P(X)=0 AT BREAK EVEN POINT
2.25X=7000
X=7000/2.25=3111.1.....OR......3112
Please help