Question

#8

8. (10 points) At Kati's Candy Emporium, the demand function for bags of gummy snails (price in dollars per bag) is given by p(x) = -12x + 14 and the cost function (in dollars) is C(x) = 0.45x + 25 Find the profit P as a function of number of bags x and then find the number of bags they need to sell in order to maximize their profit.

Answer 1

Given OF the demand function for bags gummy in giver P(x) = -- 0.12+14 and the Coat function c(x) = 0.45x+25 Revenue Function R= px R(₂) = (-0.12 x + 14) & R(x)= - 00128 2 +142 profit function P(x) = R() – ccx p(x) = – 0.128² +142 - 0.45% - 25 P(x) = – 0.12 x ² +13.558-25 In order to maaimine function the porofit d (Pla)) da =O pe -0.12 (21) +13.55 -0. - 0.12422 - 13:55 2 13.55 - 56458 0.12.X2 2= 56.458 P(56.458) = – 0.12 (56.458) + 13.55 x 56.458 -25 22-2. 00 5 number they of bags need to The sell order to Mamimine their profit a nearly 222