Publisher for delivery at the beginning of two-month period

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Reference no: EM132216779

A publisher sells books to Barnes & Noble at $40 each. The marginal production cost for the publisher is $20 per book. Barnes & Noble prices the book to its customers at $50 and expects demand over the next two months to have the following scenarios:

Quantity Probability

2000 3%

2100 8%

2200 15%

2300 30%

2400 17%

2500 12%

2600 10%

2700 5%

Barnes & Noble places a single order with the publisher for delivery at the beginning of the two- month period. Currently, Barnes & Noble discounts any unsold books at the end of two months down to $10, and any books that did not sell at full price sell at this price. How many books should Barnes & Noble order? 2351. What is its expected profit? 23510. What is the publisher’s expected profit? 47020 If the publisher and Barnes & Noble were integrated, what is the system optimal production quantity and expected profit under global optimization? 70,530.

Find a coordinating buy-back contract such that the sum of publisher’s and Barnes & Noble’s expected profit equal to 70,530 (system optimal production quantity and exp. profit under global optimization). Please show how the coordinating buy-back contract allocates the profit between the publisher and Barnes & Noble.

Reference no: EM132216779

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