<PRE><B>Question 1201028</B>

For a certain company, the cost for producing x items is 45x+300

the revenue for selling x items is 85x−0.5x^2

Profit = Revenue - Cst

P = 85x−0.5x^2 -(45x+300)

P = -0.5x^2 +40x -300 ...........................(a)

If Profit =300 
300 =-0.5x^2 +40x -300

-0.5x^2 +40x -600=0
solve the equation
Multiply by -10
5x^2-400x+6000=0
divide by 5
x^2 -80x+1200 =0
(x-20)(x-60)=0
x= 20 or 60........................(b)

P = -0.5x^2 +40x -300
if profit has to be 3500
3500 =-0.5x^2 +40x -300
-0.5x^2 +40x -3800=0On solving the equation the roots are not real ( They are complex) 
This profit is not possible........................(c)






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