Problem 20-8 (Algo) Lakeside Bakery bakes fresh pies every morning. The daily demand for its apple pies is a random variable with (discrete) distribution, based on past experience, given by Demand Probability 5 10% Expected profit 11 16% Each apple pie costs the bakery $14.75 to make and is sold for $40. Unsold apple pies at the end of the day are purchased by a nearby soup kitchen for 80 cents each. Assume no goodwill cost. 28 16 20 24 24% 24% 16% 10% a. If the company decided to bake 16 apple pies each day, what would be its expected profit? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Number of apple pies b. Based on the demand distribution above, how many apple pies should the company bake each day to maximize its expected profit? 20
Problem 20-8 (Algo) Lakeside Bakery bakes fresh pies every morning. The daily demand for its apple pies is a random variable with (discrete) distribution, based on past experience, given by Demand Probability 5 10% Expected profit 11 16% Each apple pie costs the bakery $14.75 to make and is sold for $40. Unsold apple pies at the end of the day are purchased by a nearby soup kitchen for 80 cents each. Assume no goodwill cost. 28 16 20 24 24% 24% 16% 10% a. If the company decided to bake 16 apple pies each day, what would be its expected profit? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Number of apple pies b. Based on the demand distribution above, how many apple pies should the company bake each day to maximize its expected profit? 20
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Problem 20-8 (Algo)
Lakeside Bakery bakes fresh pies every morning. The daily demand for its apple pies is a random variable with (discrete) distribution,
based on past experience, given by
Demand
Probability
5
11
10% 16%
Each apple pie costs the bakery $14.75 to make and is sold for $40. Unsold apple pies at the end of the day are purchased by a
nearby soup kitchen for 80 cents each. Assume no goodwill cost.
Expected profit
16 20 24 28
24% 24% 16% 10%
a. If the company decided to bake 16 apple pies each day, what would be its expected profit?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
b. Based on the demand distribution above, how many apple pies should the company bake each day to maximize its expected profit?
Number of apple pies
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F647bc1e9-19ad-46e9-b8a2-a2a44e77b893%2Fa0f4298d-45bc-4f2e-a73e-0fffd52ae3df%2Fuv7rvgge_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 20-8 (Algo)
Lakeside Bakery bakes fresh pies every morning. The daily demand for its apple pies is a random variable with (discrete) distribution,
based on past experience, given by
Demand
Probability
5
11
10% 16%
Each apple pie costs the bakery $14.75 to make and is sold for $40. Unsold apple pies at the end of the day are purchased by a
nearby soup kitchen for 80 cents each. Assume no goodwill cost.
Expected profit
16 20 24 28
24% 24% 16% 10%
a. If the company decided to bake 16 apple pies each day, what would be its expected profit?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
b. Based on the demand distribution above, how many apple pies should the company bake each day to maximize its expected profit?
Number of apple pies
20
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