the demand function for maria's flower shop can be modeled by p(x) = 20 - 0.02x, where x is the number of bouquets she makes and sells. the cost function is given by C(x) 10 + 2x + 0.1x^2.
(a) find the # of bouquets she has to make to minimze the average cost of one bouquet.
(b) fnd the values of x and p that maximize the revenue.
(c) find the plastic elasticity for the values of x from part (b)

for part a, i got x = 10, -10 ... where do i go from here. and what would the endpoints be?

Question

the demand function for maria's flower shop can be modeled by p(x) = 20 - 0.02x, where x is the number of bouquets she makes and sells. the cost function is given by C(x) 10 + 2x + 0.1x^2.
(a) find the # of bouquets she has to make to minimze the average cost of one bouquet.
(b) fnd the values of x and p that maximize the revenue.
(c) find the plastic elasticity for the values of x from part (b)

for part a, i got x = 10, -10 ... where do i go from here. and what would the endpoints be?

anonymous · Answer

for a, 10 is correct

b. p is the price. to calculate revenue, price times product sold

so p*x = 10x-0.02x^2 and find this maximum

c. looking it up

anonymous · Answer

so i would only include 10 for part a, and not -10?

anonymous · Answer

you can't make -10 bouquets

anonymous · Answer

okay haha, yeah that makes sense. thanks!