Ques.5 A manufacturer must produce a product in sufficient quantity to meet contractual sales in next four months. The production capacity and unit cost of production vary from month to month. The product produced in one month may be held for sale in later months but at an estimated storage cost of Re.1 per unit per month. No storage cost is incurred for goods sold in the same month in which they are produced. There is no opening inventory and none is desired at the end of four months. The necessary details are given in the following table: Month Contracted Sales 1 2 234 3 4 20 30 50 40 Maximum Unit Cost of Production 40 50 30 50 Production 14 16 15 17 How much should the manufacturer produce each month to minimize total cost?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Ques.5 A manufacturer must produce a product in sufficient quantity
to meet contractual sales in next four months. The production capacity
and unit cost of production vary from month to month. The product
produced in one month may be held for sale in later months but at an
estimated storage cost of Re.1 per unit per month. No storage cost is
incurred for goods sold in the same month in which they are
produced. There is no opening inventory and none is desired at the
end of four months. The necessary details are given in the following
table:
Month Contracted
Sales
20
30
50
40
1
2
3
4
Maximum Unit Cost of
Production
40
50
30
50
Production
14
16
15
17
How much should the manufacturer produce each month to minimize
total cost?
Transcribed Image Text:Ques.5 A manufacturer must produce a product in sufficient quantity to meet contractual sales in next four months. The production capacity and unit cost of production vary from month to month. The product produced in one month may be held for sale in later months but at an estimated storage cost of Re.1 per unit per month. No storage cost is incurred for goods sold in the same month in which they are produced. There is no opening inventory and none is desired at the end of four months. The necessary details are given in the following table: Month Contracted Sales 20 30 50 40 1 2 3 4 Maximum Unit Cost of Production 40 50 30 50 Production 14 16 15 17 How much should the manufacturer produce each month to minimize total cost?
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