Question

A manufacturer of industrial sales has production capacity of 1,000 units per day. Currently, the firm sells production capacity for $10 per unit. At this price, all production capacity gets booked about one week in advance. A group of customers have said that they would be willing to pay $15 per unit if capacity was available on the last day. About ten days in advance, demand for the high-price segment is normally distributed with a mean of 250 and a standard deviation of 100. How much production capacity should the manufacturer reserve for the last day

Answer 1

Answer:

The production capacity the manufacturer should reserve for the last day = 206.00 units.

Explanation:

Normal production = 1000 X $ 10

Normal production = $ 10,000

Spot production = 1,000 X $ 15

Spot production = $ 15,000

p* = 15,000 - 10,000 / 15,000

p* = 0.33

Q = norminv(0.33,250,100)

The production capacity the manufacturer should reserve for the last day = 206.00 units