3 A company must meet the following demands for a product: January, 30 units; February, 30 units; March, 20 units. Demand may be backlogged at a cost of

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TABLE 66
Unit Production
Cost
Production
Month
Сарacity
January
35
$400
February
30
$420
March
35
$410
Transcribed Image Text:TABLE 66 Unit Production Cost Production Month Сарacity January 35 $400 February 30 $420 March 35 $410
A company must meet the following demands for
a product: January, 30 units; February, 30 units; March,
20 units. Demand may be backlogged at a cost of
$5/unit/month. All demand must be met by the end of March.
Thus, if 1 unit of January demand is met during March, a
backlogging cost of 5(2)
production capacity and unit production cost during each
month are given in Table 66. A holding cost of $20/unit is
assessed on the inventory at the end of each month.
3
$10 is incurred. Monthly
a
Formulate a balanced transportation problem that
could be used to determine how to minimize the total
cost (including backlogging, holding, and production
costs) of meeting demand.
Use Vogel's method to find a basic feasible solution.
Use the transportation simplex to determine how to
meet each month's demand. Make sure to give an inter-
pretation of your optimal solution (for example, 20 units
of month 2 demand is met from month 1 production).
C
Transcribed Image Text:A company must meet the following demands for a product: January, 30 units; February, 30 units; March, 20 units. Demand may be backlogged at a cost of $5/unit/month. All demand must be met by the end of March. Thus, if 1 unit of January demand is met during March, a backlogging cost of 5(2) production capacity and unit production cost during each month are given in Table 66. A holding cost of $20/unit is assessed on the inventory at the end of each month. 3 $10 is incurred. Monthly a Formulate a balanced transportation problem that could be used to determine how to minimize the total cost (including backlogging, holding, and production costs) of meeting demand. Use Vogel's method to find a basic feasible solution. Use the transportation simplex to determine how to meet each month's demand. Make sure to give an inter- pretation of your optimal solution (for example, 20 units of month 2 demand is met from month 1 production). C
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