The Arctic Air Company produces residential air conditioners. The manufacturing manager wants to develop a sales and operations plan for the next year based on the following demand and capacity data (in hundreds of product units): Undertime is unpaid, and no cost is associated with unused overtime or subcontractor capacity. Producing one air conditioning unit on regular time costs $1,000, including $300 for labor. Producing a unit on overtime costs $1,150. A subcontractor can produce a unit to Arctic Air specifications for $1,250. Holding an air conditioner in stock costs $60 for each 2-month period, and 200 air conditioners are currently in stock. The plan calls for 400 units to be in stock at the end of period 6. No backorders are allowed. Use the transportation method to develop a plan that minimizes costs.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 27E
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The Arctic Air Company produces residential air conditioners. The manufacturing manager wants to develop a sales and operations plan for the next year based on the following demand and capacity data (in hundreds of product units): Undertime is unpaid, and no cost is associated with unused overtime or subcontractor capacity. Producing one air conditioning unit on regular time costs $1,000, including $300 for labor. Producing a unit on overtime costs $1,150. A subcontractor can produce a unit to Arctic Air specifications for $1,250. Holding an air conditioner in stock costs $60 for each 2-month period, and 200 air conditioners are currently in stock. The plan calls for 400 units to be in stock at the end of period 6. No backorders are allowed. Use the transportation method to develop a plan that minimizes costs.

Demand
Regular-time Capacity
Overtime Capacity
Subcontractor Capacity
Jan-Feb (1)
50
65
13
10
Mar-Apr (2)
60
65
13
10
May-Jun (3)
90
65
13
10
Jul-Aug (4)
120
80
16
10
Sep-Oct (5)
70
80
16
10
Nov-Dec (6)
40
65
13
10
Totals
430
420
84
60
Transcribed Image Text:Demand Regular-time Capacity Overtime Capacity Subcontractor Capacity Jan-Feb (1) 50 65 13 10 Mar-Apr (2) 60 65 13 10 May-Jun (3) 90 65 13 10 Jul-Aug (4) 120 80 16 10 Sep-Oct (5) 70 80 16 10 Nov-Dec (6) 40 65 13 10 Totals 430 420 84 60
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