18.4-4. Consider a situation where a particular product is pro- duced and placed in in-process inventory until it is needed in a sub- sequent production process. The number of units required in each of the next 3 months, the setup cost, and the regular-time unit production cost (in units of thousands of dollars) that would be in- curred in each month are as follows: Month Requirement 1 123 3 132 3 2 Setup Cost 5 10 5 Regular-Time Unit Cost 8 10 There currently is 1 unit in inventory, and we want to have 2 units in inventory at the end of 3 months. A maximum of 3 units can be produced on regular-time production in each month, although 1 ad- ditional unit can be produced on overtime at a cost that is 2 larger than the regular-time unit production cost. The holding cost is 2 per unit for each extra month that it is stored. Use dynamic programming to determine how many units should be produced in each month to minimize the total cost
18.4-4. Consider a situation where a particular product is pro- duced and placed in in-process inventory until it is needed in a sub- sequent production process. The number of units required in each of the next 3 months, the setup cost, and the regular-time unit production cost (in units of thousands of dollars) that would be in- curred in each month are as follows: Month Requirement 1 123 3 132 3 2 Setup Cost 5 10 5 Regular-Time Unit Cost 8 10 There currently is 1 unit in inventory, and we want to have 2 units in inventory at the end of 3 months. A maximum of 3 units can be produced on regular-time production in each month, although 1 ad- ditional unit can be produced on overtime at a cost that is 2 larger than the regular-time unit production cost. The holding cost is 2 per unit for each extra month that it is stored. Use dynamic programming to determine how many units should be produced in each month to minimize the total cost
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:18.4-4.* Consider a situation where a particular product is pro-
duced and placed in in-process inventory until it is needed in a sub-
sequent production process. The number of units required in each
of the next 3 months, the setup cost, and the regular-time unit
production cost (in units of thousands of dollars) that would be in-
curred in each month are as follows:
Month
1
2
3
Requirement
1
3
2
Setup Cost
5
10
5
Regular-Time
Unit Cost
8
10
9
There currently is 1 unit in inventory, and we want to have 2 units
in inventory at the end of 3 months. A maximum of 3 units can be
produced on regular-time production in each month, although 1 ad-
ditional unit can be produced on overtime at a cost that is 2 larger
than the regular-time unit production cost. The holding cost is
2 per unit for each extra month that it is stored.
Use dynamic programming to determine how many units
should be produced in each month to minimize the total cost.
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