SOLUTION: The relationship between the numbers of calculators x a company sells per day and the price of each calculator p is given by the equation x = 500 - 100p At what price should the ca

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Question 1197255: The relationship between the numbers of calculators x a company sells per day and the price of each calculator p is given by the equation x = 500 - 100p At what price should the calculators be sold so that the daily revenue is to be $ 600? ( Show your steps)
Answer by ikleyn(52873) About Me  (Show Source):
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The relationship between the numbers of calculators x a company sells per day
and the price of each calculator p is given by the equation x = 500 - 100p
At what price should the calculators be sold so that the daily revenue is
to be $ 600? ( Show your steps)
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Under given conditions, the revenue is the product of the price per single calculator 
by the number of calculators, sold per day,

    Revenue = R(p) = p*(500-100p).


They want you find the price "p" from this equation

    p*(500-100p) = 600.


Divide both sides by 100, then reduce to the standard form quadratic equation

    p*(5 - p) = 6

    -p^2 + 5p - 6 = 0

    p^2 -5p + 6 = 0


Factor left side

    (p-2)*(p-3) = 0.


There are two roots: p=2  and p=3.

They provide two solutions to your problem.

Solved.