A company must meet the following demands (but backlogs and inventory allowed with charges) January 30; February 30; March 20 all demand must be met by end of March. Inventory costs $20/ unit at month end, and backlogged demand incurs a $5 / unit per month cost. This table lists the monthly production capacity and unit production costs. Month January February March Production Cap 35 30 35 Unit costs 400 420 410 Set up the transportation simplex (and then solve) where the rows are Monthly Supply and the Columns are the monthly deliveries. You'll need a dummy demander. A unit shipped from February Supply to a January demand is LATE. A unit shipped from a February Supply to a March demand has been put in Inventory for a month. 1. How many February units are shipped to February demand 2. What is the total optimal cost.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A company must meet the following demands
(but backlogs and inventory allowed with charges)
January 30; February 30; March 20
all demand must be met by end of March.
Inventory costs $20/ unit at month end, and backlogged demand incurs
a $5 / unit per month cost.
This table lists the monthly production capacity and unit production costs.
Month
January
February
March
Production Cap
35
30
35
Unit costs
400
420
410
Set up the transportation simplex (and then solve) where the rows are
Monthly Supply and the Columns are the monthly deliveries.
You'll need a dummy demander.
A unit shipped from February Supply to a January demand is LATE. A unit
shipped from a February Supply to a March demand has been put in
Inventory for a month.
1. How many February units are shipped to February demand
2. What is the total optimal cost.
Transcribed Image Text:A company must meet the following demands (but backlogs and inventory allowed with charges) January 30; February 30; March 20 all demand must be met by end of March. Inventory costs $20/ unit at month end, and backlogged demand incurs a $5 / unit per month cost. This table lists the monthly production capacity and unit production costs. Month January February March Production Cap 35 30 35 Unit costs 400 420 410 Set up the transportation simplex (and then solve) where the rows are Monthly Supply and the Columns are the monthly deliveries. You'll need a dummy demander. A unit shipped from February Supply to a January demand is LATE. A unit shipped from a February Supply to a March demand has been put in Inventory for a month. 1. How many February units are shipped to February demand 2. What is the total optimal cost.
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