Question
Tom is in the business of selling a daily newspaper. The unit purchasing cost of a newspaper is $2.0. Tom sells the newspapers to the
Tom is in the business of selling a daily newspaper. The unit purchasing cost of a newspaper is $2.0. Tom sells the newspapers to the customers for a price of $4.0. If there are leftovers at the end of day, it can be sold to a recycling firm at $1.0 per paper. The probability distribution of demand for a given day is as follows:
Demand | 300 | 400 | 500 | 550 | 600 | 700 | 800 |
Probability | 0.25 | 0.15 | 0.15 | 0.11 | 0.14 | 0.10 | 0.10 |
What are Cu and Co?
If we increase order quantity from 500 to 501, by how much will the expected profit change?
What is the optimal order size which maximizes the expected profit?
Assuming Tom buys 400 copies of the newspaper. Calculate the expected profit. Use the table below for the calculations.
Demand | #Units sold | #units leftover | Revenue from #units sold | Salvage from #units leftover | Total cash inflow | Probability |
300 |
|
|
|
|
| 0.25 |
400 |
|
|
|
|
| 0.15 |
500 |
|
|
|
|
| 0.15 |
550 |
|
|
|
|
| 0.11 |
600 |
|
|
|
|
| 0.14 |
700 |
|
|
|
|
| 0.10 |
800 |
|
|
|
|
| 0.10 |
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