SOLUTION: Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) =2.25x - 7000 (a) Wh

Algebra ->  Functions -> SOLUTION: Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) =2.25x - 7000 (a) Wh      Log On


   



Question 67959: Business and finance. If the inventor in exercise 53 charges $4 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?
(c) What is the break-even point for sales?

Answer by venugopalramana(3286) About Me  (Show Source):
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Business and finance. If the inventor in exercise 53 charges $4 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?
P(2000)=2.25*2000-7000=4500-7000=-2500 $...LOSS OF 2500
(b) What is her profit if she sells 5000 units?
P(5000)=2.25*5000-7000=11250-7000=4125 $
(c) What is the break-even point for sales?
AT BREAK EVEN P=0
2.25X-7000=0
2.25X=7000
X=7000/2.25=28000/9=3111.1....THAT IS ROUNDED TO 3112 ..FOR NOT TO LOSE