SOLUTION: the total cost (in dollars) for a company to produce x items per week is C=7x+400. the revenue for selling all x items is R=34x-0.1x^2. how many items must it produce and sell each

Algebra ->  Finance -> SOLUTION: the total cost (in dollars) for a company to produce x items per week is C=7x+400. the revenue for selling all x items is R=34x-0.1x^2. how many items must it produce and sell each      Log On


   

Question 1180682: the total cost (in dollars) for a company to produce x items per week is C=7x+400. the revenue for selling all x items is R=34x-0.1x^2. how many items must it produce and sell each week for its weekly profit to be $1,300?
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
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Profit P(x) is the revenue R(x) minus cost C(x)


    P(x) = R(x) - C(x) = 34x-0.1x^2 - (7x+400) = -0.1x^2 - 27x - 400.



Therefore, to answer the problem's question, you should solve this equation

    -0.1x^2 - 27x - 400 = 1300,  or


    0.1x^2 + 27x + 1700 = 0.


The rest is just Arithmetic.


Use the quadratic formula.

Solved.