Question 1149349: 1. The revenue of the company is given by the equation R = x (1000 - 4x), where R is the revenue of the company in dollars when thy sell x units of a product. How many units of the product should they sell to make a revenue of $60,000?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 1. The revenue of the company is given by the equation R = x (1000 - 4x), where R is the revenue of the company in dollars when thy sell x units of a product.
How many units of the product should they sell to make a revenue of $60,000?
:
x(1000-4x) = 60000
1000x - 4x^2 = 60000
A quadratic equation
-4x^2 + 1000x - 60000 = 0
simplify, divide by -4
x^2 - 250x + 15000 = 0
factors to
(x-100)(x-150) = 0
two solutions
x = 100 units
and
x = 150 units, both will make you $60,000
;
:
Check
100(1000-400) = 60k
150(1000-600) = 60k
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