TimsTabletCo (TTC) produces tablet computers, and it must determine the number of units to be produced during each of the next four months. The following table gives the monthly demand and the monthly cost of producing each unit: Month 1 2 3 4 Demand (in units) 5000 2000 6000 1000 Production Cost (dollars per unit) 400 600 200 300 At the start, before Month 1, TTC has an inventory of 2000 units. Each month, up to 4000 units can be produced. TTC can use the units produced in a particular month in two ways: either use some units to satisfy the demand in the same month, or store some units in inventory for future use. The cost of storing units in inventory is $100 per unit per month. (a) Formulate an LP problem (P) to minimize the total cost of meeting the demands of the next four months. (b) Write the dual LP (D) of (P).

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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TimsTabletCo (TTC) produces tablet computers, and it must determine the number of units to be produced during each of the
next four months. The following table gives the monthly demand and the monthly cost of producing each unit:
Month
1
2
3
4
Demand (in units)
5000
2000 6000 1000
Production Cost (dollars per unit)
400 600 200 300
At the start, before Month 1, TTC has an inventory of 2000 units. Each month, up to 4000 units can be produced. TTC can use
the units produced in a particular month in two ways: either use some units to satisfy the demand in the same month, or store
some units in inventory for future use. The cost of storing units in inventory is $100 per unit per month.
(a) Formulate an LP problem (P) to minimize the total cost of meeting the demands of the next four months.
(b) Write the dual LP (D) of (P).
Transcribed Image Text:TimsTabletCo (TTC) produces tablet computers, and it must determine the number of units to be produced during each of the next four months. The following table gives the monthly demand and the monthly cost of producing each unit: Month 1 2 3 4 Demand (in units) 5000 2000 6000 1000 Production Cost (dollars per unit) 400 600 200 300 At the start, before Month 1, TTC has an inventory of 2000 units. Each month, up to 4000 units can be produced. TTC can use the units produced in a particular month in two ways: either use some units to satisfy the demand in the same month, or store some units in inventory for future use. The cost of storing units in inventory is $100 per unit per month. (a) Formulate an LP problem (P) to minimize the total cost of meeting the demands of the next four months. (b) Write the dual LP (D) of (P).
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