You make delicious cupcakes that you mail to customers across the country. Your cupcakes are so unique and special that you have a great deal of pricing power. Your customers have identical demand curves for your cupcakes, and a representative customer’s demand curve is shown below. (It’s not needed, but the demand curve equation is P=5-0.2Q or Q=25-5P.) Suppose your MC=$1/cupcake, whether you produce lots or just a few cupcakes. To keep things simple, suppose there are no fixed costs, so FC=0. a) Acting as a monopolist, show the standard pricing analysis on the graph below that identifies your profit-mamximing price and quantity for your representative customer. Shade areas representing your profit and CS. (PS and profit are the same here since FC=0). b) (Suppose you offer a quantity discount: first 10 cupcakes at $3 each and any cupcakes over 10 are offered at a discounted price. What discount price will maximize your profit? Show this quantity discount arrangement on your graph and shade areas representing your profit and CS. c) Now you have another idea – to sell only packages of 20 cupcakes. What is your profit-maximing price for a 20-pack of cupcakes? What is the resulting profit? Shade areas below representing your price and profit answers.
You make delicious cupcakes that you mail to customers across the country. Your cupcakes are so unique and special that you have a great deal of pricing power. Your customers have identical demand curves for your cupcakes, and a representative customer’s demand curve is shown below. (It’s not needed, but the demand curve equation is P=5-0.2Q or Q=25-5P.) Suppose your MC=$1/cupcake, whether you produce lots or just a few cupcakes. To keep things simple, suppose there are no fixed costs, so FC=0.
a) Acting as a monopolist, show the standard pricing analysis on the graph below that identifies your profit-mamximing price and quantity for your representative customer. Shade areas representing your profit and CS. (PS and profit are the same here since FC=0).
b) (Suppose you offer a quantity discount: first 10 cupcakes at $3 each and any cupcakes over 10 are offered at a discounted price. What discount price will maximize your profit? Show this quantity discount arrangement on your graph and shade areas representing your profit and CS.
c) Now you have another idea – to sell only packages of 20 cupcakes. What is your profit-maximing price for a 20-pack of cupcakes? What is the resulting profit? Shade areas below representing your price and profit answers.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
