Question 146518: The total cost(in dollars) for a company to manufacture and sell x items per week is:C=0.6xsq-140x+6200
and the revenue (in dollars)by selling all x items is:
R=-0.4xsq+130
How many items must be sold to obtain a weekly profit of $10000?
Thank you
Nicole
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! C=0.6xsq-140x+6200
R=-0.4xsq+130
profit=revenue-cost.
10,000=-.4x^2+130-(0.6x^2-140x+6,200)
10,000=-.4x^2+130-.6x^2+140x-6,200
x^2-140x+10,000-6,200-130=0
x^2-140x+3,670=0
using the quadratic equation we get:
x=(140+-sqrt[-140^2-4*1*3,670/2*1
x=(140+-sqrt[19,600-14,680)/2
x=(140+-sqrt[4,920]/2
x=(140+-70.14)/2
x=(140+70.14)/2
x=210.14/2
x=105.07 answer.
x=(140-70.14)/2
x=69.86/2
x=34.9 answer.
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