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

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.
-------------------------------------
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.

RELATED QUESTIONS
The cost of producing a number of items x is given by C = mx + b, in which b is the fixed (answered by funmath)

Problem: The cost of producing a number of items x is given by C=mx+b , in which b is... (answered by renevencer22)

Business and finance- The cost of producing a number of items x is given by C=mx+b, in... (answered by renevencer22)

Problem: The cost of producing a number of items x is given by C=mx+b , in which b... (answered by renevencer22)

Problem: The cost of producing a number of items x is given by C=mx+b , in which b is... (answered by renevencer22)

aBusiness and finance. The cost of producing a number of items x is given by C=mx+b, in... (answered by stanbon)

Sharon's revenue "R" (in dollars) on the sale of "x" fruitcakes is determined by the... (answered by Nate)

Profitable fruitcakes. Sharon�s revenue R (in dollars) on the sale of x fruitcakes is... (answered by stanbon)

The cost of producing a number of items x is given by C=mx+b, in which b is the fixed... (answered by stanbon)