# SOLUTION: the demand and supply equations for a certain item are given by d=-5p+40 S=-p^2+30p-8 Find the equillibrium price A)1.43 B)1.57 C)1.71 D)1.29

Algebra ->  -> SOLUTION: the demand and supply equations for a certain item are given by d=-5p+40 S=-p^2+30p-8 Find the equillibrium price A)1.43 B)1.57 C)1.71 D)1.29      Log On

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 Question 89956: the demand and supply equations for a certain item are given by d=-5p+40 S=-p^2+30p-8 Find the equillibrium price A)1.43 B)1.57 C)1.71 D)1.29Answer by ankor@dixie-net.com(16527)   (Show Source): You can put this solution on YOUR website!The demand and supply equations for a certain item are given by d = -5p + 40 S = -p^2 + 30p - 8 Find the equilibrium price: : Equilibrium price occurs when demand = Supply: d = s : -5p + 40 = -p^2 + 30p - 8 : Arrange as a quadratic equation on the left: +p^2 - 5p - 30p + 40 + 8 = 0 : p^2 - 35p + 48 = 0 : Use the quadratic formula to find p: a=1; b=-35; c=48 : : : : I'll let you do the math and find the value of p: