Flifla sells tomatoes every day in Suk al Marqazi, the downtown fruit and vegetable market. He finds that he can order tomatoes in crates of 25 kg and he is able to stock a maximum of four crates or 100 kg of tomatoes. His experience taught him that the daily demand ranges from 0 to100 kg of tomatoes. Flifla sells tomatoes at 1 dirham/kg. His cost is Dhs 0.70 per kg. Therefore, his profit is Dhs 0.30 per kg of tomatoes sold. For any unsold tomatoes, Flifla can sell them for Dhs 0.50 to a recycling firm that produces tomato paste. Flifla's objective is to determine the quantity of tomatoes to buy each day to maximize his profits. Answer the following questions.
a) Construct a conditional payoff table.
b) What is the best decision according to the following criteria?
- Optimistic criterion
- Pessimistic criterion
- Equally likely
c) Construct an opportunity loss table.
d) What is the Minimax regret?
e) Assume the following probability distribution:
|
Demand
|
Probability
|
|
0 kg
|
.05
|
|
25 kg
|
.10
|
|
50 kg
|
.30
|
|
75 kg
|
.35
|
|
100 kg
|
.20
|