Answer to Question #15375 in Calculus for hsd

Question

Your startup company Fabulous Fudge Inc. sells toee lled chocolate
bars that you and your partner manufacture in your parents' garage.
Let p denote the price of one chocolate bar in dollars and q the number of bars. Daily
demand for your chocolate bars is given by:

q(p) = { 1000; if p < 1,
{ 1000(2-p); if 1≤p≤2,
{ 0; if p > 2.

Your production cost is $200 per day plus $0.50 per chocolate bar.
(a) Draw the graphs of your daily revenue R(p) and of your daily cost C(p)
depending on the price p of one chocolate bar.
(b) Determine the break-even points and the interval of prices for which your
business is protable.
(c) For which price p do you maximize your daily profit?