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 5 10 15 20 25 30 Probability 10% 20% 25% 25% 15% 5% Each apple pie costs the bakery $6.75 to make and is sold for $17.99. Unsold apple pies at the end of the day are purchased by a nearby soup kitchen for 99 cents each. Assume no goodwill cost. If the company decided to bake 15 apple pies each day, what would be its expected profit? Note: Do not round intermediate calculations. Round your answer to 2 decimal places.   Based on the demand distribution above, how many apple pies should the company bake each day to maximize its expected profit? Note: Do not interpolate your answer. Choose only from the demand values given in the above discrete distribution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 5 10 15 20 25 30
Probability 10% 20% 25% 25% 15% 5%

Each apple pie costs the bakery $6.75 to make and is sold for $17.99. Unsold apple pies at the end of the day are purchased by a nearby soup kitchen for 99 cents each. Assume no goodwill cost.

  1. If the company decided to bake 15 apple pies each day, what would be its expected profit?

    Note: Do not round intermediate calculations. Round your answer to 2 decimal places.

     
  2. Based on the demand distribution above, how many apple pies should the company bake each day to maximize its expected profit?

    Note: Do not interpolate your answer. Choose only from the demand values given in the above discrete distribution.

     
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