Suppose a store is located in the middle of Main Street

Question
(1) Suppose a store is located in the middle of Main Street, which is one mile long.
Marginal transportation cost is given by t=$80 per mile round trip. The average
production cost of the product sold is given by c=$32. Customers value each unit of our
store’s product at V=$50.
(a) If the firm wants to sell to only 25% of all people on Main Street, what will its
price be? Is this doable?
(b) Now assume it wants to sell to 50% of the people, what will its price be? Is this
doable?

(2) (unrelated to question (1). Assuming a firm wants to cover half of the market (assume
the length of the market is normalized at a value of one), what is this firm’s profit
function (provide an abstract equation).

Originally posted 2017-01-07 13:19:43. Republished by Blog Post Promoter

Suppose A Store Is Located In The Middle Of Main Street

(1) Suppose a store is located in the middle of Main Street, which is one mile long. Marginal transportation cost is given by t=$80 per mile round trip. The averageproduction cost of the product sold is given by c=$32. Customers value each unit of ourstore’s product at V=$50. (a) If the firm wants to sell to only 25% of all people on Main Street, what will itsprice be? Is this doable?(b) Now assume it wants to sell to 50% of the people, what will its price be? Is thisdoable?(2) (unrelated to question (1). Assuming a firm wants to cover half of the market (assumethe length of the market is normalized at a value of one), what is this firm’s profitfunction (provide an abstract equation).