Question

6. A burger stall owner must make a single order for burgers. Each burger costs the owner $13 and leftover burgers are marked down to $5 for quick sale. Loss of goodwill from customers if burgers run out is $28.5/burger. Estimated sales are given with the following probabilities: Number: 40 | 50 | 60 | 70 | 80 | 90 | 100 Probability: 0.08 | 0.12 | 0.14 | 0.23 | 0.17 | 0.14 | 0.12 (a) (5 points) Determine the optimal order quantity. (b) (5 points) Determine the expected shortage and the expected surplus. (c) (5 points) Determine the total expected cost.

          6. A burger stall owner must make a single order for burgers. Each burger costs the owner $13 and leftover burgers are marked down to $5 for quick sale. Loss of goodwill from customers if burgers run out is $28.5/burger. Estimated sales are given with the following probabilities:

Number: 40 | 50 | 60 | 70 | 80 | 90 | 100
Probability: 0.08 | 0.12 | 0.14 | 0.23 | 0.17 | 0.14 | 0.12

(a) (5 points) Determine the optimal order quantity.
(b) (5 points) Determine the expected shortage and the expected surplus.
(c) (5 points) Determine the total expected cost.

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6. A burger stall owner must make a single order for burgers. Each burger costs the owner 13 and leftover burgers are marked down to5 for quick sale. Loss of goodwill from customers if burgers run out is 28.5/burger. Estimated sales are given with the following probabilities:

Number: 40 | 50 | 60 | 70 | 80 | 90 | 100
Probability: 0.08 | 0.12 | 0.14 | 0.23 | 0.17 | 0.14 | 0.12

(a) (5 points) Determine the optimal order quantity.
(b) (5 points) Determine the expected shortage and the expected surplus.
(c) (5 points) Determine the total expected cost.

Added by Aaron H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

06/20/2023

Step 1

The cost of each burger is $813. If the burger is not sold, it is marked down to $85, so the loss for each unsold burger is $813 - $85 = $728. If the burger runs out, the loss of goodwill is $28.5 per burger. Show more…

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A burger stall owner must make a single order for burgers. Each burger costs the owner $13 and leftover burgers are marked down to $5 for quick sale. Loss of goodwill from customers if burgers run out is $28.5/burger. Estimated sales are given with the following probabilities: Number: 40, 50, 60, 70, 80, 90, 100 Probability: 0.08, 0.12, 0.14, 0.23, 0.17, 0.14, 0.12

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