The demand function for a certain brand of CD is given by
p = −0.01x2 − 0.2x + 16
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by
p = 0.01x2 + 0.8x + 4
where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determine the producers' surplus if the market price is set at the equilibrium price. (Round your answer to the nearest dollar.)

Question

The demand function for a certain brand of CD is given by
p = −0.01x2 − 0.2x + 16
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by
p = 0.01x2 + 0.8x + 4
where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determine the producers' surplus if the market price is set at the equilibrium price. (Round your answer to the nearest dollar.)

anonymous · Answer

I keep getting 12.22 for x and I don't know where I am going wrong?