EXAMPLE 12.8 PLANNING PRODUCTION OF BLOUSES AT SHIRTTAILS 1hirtTails is a clothing manufacturer that operates its own chain of discount retail stores. DAt the beginning of November 2014, ShirtTails is trying to plan its production of a new blouse that is worn primarily in the warmer months. Based on production constraints from other products, the company knows it has two opportunities to produce this blouse- in November 2014 and later in April 2015. The production capacity (for this blouse) is 1250 in November. In April, the capacity will increase to 2500. By April, demand for the blouses produced in November will be known. Using this information, ShirtTails will then be able to plan its production in April. The unit cost of producing a blouse is $25, and the selling price will be $40. These remain constant. There is a $3 holding cost per blouse still in inventory after the pre-April demand. By November 2015, any remaining blouses in inventory will be sold at a mark- down price of $20. (This is because ShirtTails plans to introduce a new blouse the next year.) Demand for the blouses before April is not known with any certainty, but ShirtTails believes it should be somewhere between 100 and 1000. After April, the demand for blouses is expected to be anywhere from 3 to 7.5 times as large as the demand before April. What production plan should the company use to maximize the expected profit from these blouses? Objective To develop an optimization model that specifies production quantities of blouses in two time periods, where the second production quantity can be based on demand information from the first period. Solution You first need to recognize that a production plan is really a contingency plan. This means that the company will determine a production quantity in November, but it will not com- mit to a production quantity in April until after it observes the pre-April demand. In other words, the contingency plan will specify a single production quantity in November and a production quantity in April for each pre-April demand that might be observed.

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
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The problem in Example 12.8 assumes that the heaviest demand occurs in the second (post-April) phase of
selling. It also assumes that capacity is higher in the
second production opportunity than in the first. Suppose
the situation is reversed, so that the higher capacity and
most of the demand occur in the first phase. Make some
reasonable assumptions for the resulting input parameters, and then solve for the optimal production plan. Do
you get qualitatively different results? Which situation
would you rather face if you were ShirtTails?

EXAMPLE
12.8 PLANNING PRODUCTION OF BLOUSES AT SHIRTTAILS
1hirtTails is a clothing manufacturer that operates its own chain of discount retail stores.
DAt the beginning of November 2014, ShirtTails is trying to plan its production of a
new blouse that is worn primarily in the warmer months. Based on production constraints
from other products, the company knows it has two opportunities to produce this blouse-
in November 2014 and later in April 2015. The production capacity (for this blouse) is
1250 in November. In April, the capacity will increase to 2500. By April, demand for the
blouses produced in November will be known. Using this information, ShirtTails will then
be able to plan its production in April.
The unit cost of producing a blouse is $25, and the selling price will be $40. These
remain constant. There is a $3 holding cost per blouse still in inventory after the pre-April
demand. By November 2015, any remaining blouses in inventory will be sold at a mark-
down price of $20. (This is because ShirtTails plans to introduce a new blouse the next
year.) Demand for the blouses before April is not known with any certainty, but ShirtTails
believes it should be somewhere between 100 and 1000. After April, the demand for
blouses is expected to be anywhere from 3 to 7.5 times as large as the demand before April.
What production plan should the company use to maximize the expected profit from
these blouses?
Objective To develop an optimization model that specifies production quantities of
blouses in two time periods, where the second production quantity can be based on demand
information from the first period.
Solution
You first need to recognize that a production plan is really a contingency plan. This means
that the company will determine a production quantity in November, but it will not com-
mit to a production quantity in April until after it observes the pre-April demand. In other
words, the contingency plan will specify a single production quantity in November and a
production quantity in April for each pre-April demand that might be observed.
Transcribed Image Text:EXAMPLE 12.8 PLANNING PRODUCTION OF BLOUSES AT SHIRTTAILS 1hirtTails is a clothing manufacturer that operates its own chain of discount retail stores. DAt the beginning of November 2014, ShirtTails is trying to plan its production of a new blouse that is worn primarily in the warmer months. Based on production constraints from other products, the company knows it has two opportunities to produce this blouse- in November 2014 and later in April 2015. The production capacity (for this blouse) is 1250 in November. In April, the capacity will increase to 2500. By April, demand for the blouses produced in November will be known. Using this information, ShirtTails will then be able to plan its production in April. The unit cost of producing a blouse is $25, and the selling price will be $40. These remain constant. There is a $3 holding cost per blouse still in inventory after the pre-April demand. By November 2015, any remaining blouses in inventory will be sold at a mark- down price of $20. (This is because ShirtTails plans to introduce a new blouse the next year.) Demand for the blouses before April is not known with any certainty, but ShirtTails believes it should be somewhere between 100 and 1000. After April, the demand for blouses is expected to be anywhere from 3 to 7.5 times as large as the demand before April. What production plan should the company use to maximize the expected profit from these blouses? Objective To develop an optimization model that specifies production quantities of blouses in two time periods, where the second production quantity can be based on demand information from the first period. Solution You first need to recognize that a production plan is really a contingency plan. This means that the company will determine a production quantity in November, but it will not com- mit to a production quantity in April until after it observes the pre-April demand. In other words, the contingency plan will specify a single production quantity in November and a production quantity in April for each pre-April demand that might be observed.
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