A store sells q bottles of shampoo at p(q) dollars per bottle. (a) Write a model for revenue from the sale of q bottles. R(q) = 9 - p(a) R(q) = a + p(a) R(q) = q p(q) R(q) = p(q)-9 R(q) = p(a)/a (b) Write a model for profit from the sale of shampoo if it costs the store C(q) to stock q bottles. OP(a) = q p(q) - C(q) P(q) = (p(a)/a) - C(q) P(q) q p(q) + C(q) P(a) =q-p(a) - C(q) P(q)=(a+p(q)) C(q) (c) Write a model for average profit per bottle when q bottles are stocked and sold. P(q) = (a + p(a)) C(q) 9 P(q) = 9-p(a) - C(q) P(q) = (p(a)/9)-C(q) 9 OP(a) = 9 p(a) C(q) 9 OP(q)=9p(g) + C(q) 9