SOLUTION: The revenue for the sale of x items is determined by the formula R = 50 x – x2. The cost of producing x items is given by the formula C = 2x +40. For what value of x is the prof
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Question 233474: The revenue for the sale of x items is determined by the formula R = 50 x – x2. The cost of producing x items is given by the formula C = 2x +40. For what value of x is the profit positive? (Profit = revenue minus cost)
Do I set it up like this ? 50x-x^2=2x+40 Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! R = 50 x – x2.
C = 2x +40.
R-C>0 IS THE PROFIT EQUATION.
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50X-X^2-(2X+40)>0
50X-X^2-2X-40>0
-X^2+48X-40>0
X^2-48X+40>0
X=(48+-SQRT[-48^2-4*1*40])/2*1
X=(48+-SQRT[2,304-160)/2
X=(48+-SQRT2144)/2
X=(48+-46.3)/2
X=(48+46.3)/2
X=94.3/2
X=47.15 ANS.
THIS SAYS THAT AT LEAST 48 UNITS MUST BE SOLD TO HAVE A PROFIT.
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