Answer to Question #15375 in Calculus for hsd

Question #15375
Your startup company Fabulous Fudge Inc. sells to ee 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?
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