TABLE 66Unit ProductionCostProductionMonthСарacityJanuary35$400February30$420March35$410 A company must meet the following demands fora 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, abacklogging cost of 5(2)production capacity and unit production cost during eachmonth are given in Table 66. A holding cost of $20/unit isassessed on the inventory at the end of each month.3$10 is incurred. MonthlyaFormulate a balanced transportation problem thatcould be used to determine how to minimize the totalcost (including backlogging, holding, and productioncosts) of meeting demand.Use Vogel's method to find a basic feasible solution.Use the transportation simplex to determine how tomeet each month's demand. Make sure to give an inter-pretation of your optimal solution (for example, 20 unitsof month 2 demand is met from month 1 production).C

a) Production capacity of the company is the amount of supply. So, each month is considered…

Answered: 3 A company must meet the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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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