Setting Production Schedules The Sunspot Small Appliance Co

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

57. Setting Production Schedules The Sunspot Small Appliance Co. determines that the supply function for their EverCurl hair dryer is

S(p)=6+0.001 p^{3}

and that its demand function is

D(p)=80-0.02 p^{2}

, where

p

is the price. Determine the price for which the supply equals the demand and the number of hair dryers corresponding to this equilibrium price.