SOLUTION: i have the first part of this question solved, i just need help with the second part. thank you. a company earns a weekly profit of P=-1.2x^2+180x-280, where x is the number o

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: i have the first part of this question solved, i just need help with the second part. thank you. a company earns a weekly profit of P=-1.2x^2+180x-280, where x is the number o      Log On

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Question 195126: i have the first part of this question solved, i just need help with the second part. thank you.
a company earns a weekly profit of P=-1.2x^2+180x-280, where x is the number of coffee tables they build and sell and P is profit in dollars.
a. find the number of coffee tables the company must sell in a week in order to obtain max. profit.
(i completed the work for this problem and got 75 coffee tables)
b. what is the maximum profit?
(i have the answer key and i tried plugging 75 coffee tables into the equation but i am getting an answer that seems to be way off)
thank you for your help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a) Correct.

b)

P=-1.2x%5E2%2B180x-280 Start with the given equation.


P=-1.2%2875%29%5E2%2B180%2875%29-280 Plug in x=75.


P=-1.2%285625%29%2B180%2875%29-280 Square 75 to get 5625.


P=-6750%2B180%2875%29-280 Multiply -1.2 and 5625 to get -6750.


P=-6750%2B13500-280 Multiply 180 and 75 to get 13500.


P=6470 Combine like terms.


So the max profit is $6,470.