Question

Each day, Big Boat Flowers, a floral retailer, stocks fresh-cut calla lilies. Each flower costs $0.40...

  1. Each day, Big Boat Flowers, a floral retailer, stocks fresh-cut calla lilies. Each flower costs $0.40 and sells for $1.00. Big Boat Flowers never reduces the selling price. At the end of each day, any unsold calla lilies are given to a nearby church. Big Boat Flowers estimates daily demand characteristics as follows:

Demand (units)

Probability

0

5%

100

20%

200

40%

300

25%

400

10%

  1. How many calla lilies should Big Boat Flowers purchase each day to maximize expected daily operating income?

  1. What is the maximum amount of money that Big Boat Flowers should be willing to pay for an information system that reveals the exact demand for the day?
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Answer #1

TABLE SHOWING DEMAND FOR ONE DAY

demand (units) probability approx demand
0 5% 0
100 20% 20
200 40% 80
300 25% 75
400 10% 40
total 215

Big boat should purchase 215 lilies to earn maximum daily income.

b) As maximum demand in a day can be 400 and not more than that, cost he can pay must not be greater than that.

Cost = $.4 x 400 = $160

Therefore, maximum amount of money that Big Boat Flowers should be willing to pay for an information system that reveals the exact demand for the day is $160.

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