SOLUTION: The Demand equation for an item currently being marketed is given by D(q) = −0.2 ⋅ q^2+53 , where D(q) is in $ that can be charged per unit, and q is in thousands of units that

Question 1165721: The Demand equation for an item currently being marketed is given by D(q) = −0.2 ⋅ q^2+53 , where D(q) is in $ that can be charged per unit, and q is in thousands of units that can be sold at that price. (For example, q=17 means 17,000 units can be sold.) If 14,000 units are to be sold, at what price should each be set?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the equation is d(q) = -.2 * q^2 + 53

when q = 14, the equation becomes d(q) = -.2 * 14^2 + 53.

solve for d(q) to get d(q) = 13.8

this says that, when 14,000 units are sold, the price should be set at 13.8 dollars per unit.

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