Operations Research20795 marksNumerical: EMV newsboy problemExpected Monetary Value
Milk Salesman Decision Problem A milk salesman estimates the probability of the demand for a litre of milk as follows: He purchases a litre of milk @ Rs. 60 and sells it @ Rs. 70. Prepare payoff table and find optimum stock by using EMV criteria assuming the unsold milk has no scrap value. | Demand
Milk Salesman Decision Problem
A milk salesman estimates the probability of the demand for a litre of milk as follows: He purchases a litre of milk @ Rs. 60 and sells it @ Rs. 70. Prepare payoff table and find optimum stock by using EMV criteria assuming the unsold milk has no scrap value.
| Demand | 11 | 12 | 13 | 14 | 15 |
|---|---|---|---|---|---|
| Probability | 0.10 | 0.15 | 0.30 | 0.25 | 0.20 |
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- Purchase cost: Rs. 60 per litre - Selling price: Rs. 70 per litre - Profit per litre sold = $70 - 60 = 10$ - Loss per litre unsold (no scrap) = Rs. 60 - Demand and probabilities: Demand 11 12 13 14 15 ------------------ Prob 0.10 0.15 0.30 0.25 0.20 - If demand $\geq$ stock: all stock sold, Pay...