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1- Dwayne Cole, owner of a Florida firm that manufactures display cabinets, develops an 8- month aggregate plan.Demand and capacity (in units) are forecast as follows: CAPACITY SOURCE (UNITS) JAN. FEB. MAR. APR. MAY JUNE JULY AUG. Regular time 235 255 290 300 300 290 300 290 Overtime 20 24 26 24 30 28 30 30 12 16 15 17 17 19 19 20 Subcontract Demand 255 294 321 301 330 320 345 340 The cost of producing each unit is $1,000 on regular time, $1,300 on overtime, and $1,800 on a subcontract. Inventory carrying cost is $200 per unit per month. There is no beginning or ending inventory in stock, and no backorders are permitted from period to period. Let the production (workforce) vary by using regular time first, then overtime, and then subcontracting. a) Set up a production plan that minimizes cost by producing exactly what the demand is each month. This plan allows no backorders or inventory. What is this plan's cost? b) Through better planning, regular-time production can be set at exactly the same amount, 275 units, per month. If demand cannot be met there is no cost assigned to shortages and they will not be filled. Does this alter the solution? c) If overtime costs per unit rise from $1,300 to $1,400, will your answer to (a) change? What if overtime costs then fall to $1,200?

1- Dwayne Cole, owner of a Florida firm that manufactures display cabinets, develops an 8- month aggregate plan.Demand and capacity (in units) are forecast as follows: CAPACITY SOURCE (UNITS) JAN. FEB. MAR. APR. MAY JUNE JULY AUG. Regular time 235 255 290 300 300 290 300 290 Overtime 20 24 26 24 30 28 30 30 12 16 15 17 17 19 19 20 Subcontract Demand 255 294 321 301 330 320 345 340 The cost of producing each unit is $1,000 on regular time, $1,300 on overtime, and $1,800 on a subcontract. Inventory carrying cost is $200 per unit per month. There is no beginning or ending inventory in stock, and no backorders are permitted from period to period. Let the production (workforce) vary by using regular time first, then overtime, and then subcontracting. a) Set up a production plan that minimizes cost by producing exactly what the demand is each month. This plan allows no backorders or inventory. What is this plan's cost? b) Through better planning, regular-time production can be set at exactly the same amount, 275 units, per month. If demand cannot be met there is no cost assigned to shortages and they will not be filled. Does this alter the solution? c) If overtime costs per unit rise from $1,300 to $1,400, will your answer to (a) change? What if overtime costs then fall to $1,200?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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1- Dwayne Cole, owner of a Florida firm that manufactures display cabinets, develops an 8- month aggregate plan.Demand and capacity (in units) are forecast as follows: CAPACITY SOURCE (UNITS) JAN. FEB. MAR. APR. MAY JUNE JULY AUG. Regular time 235 255 290 300 300 290 300 290 Overtime Subcontract Demand 20 24 26 24 30 28 30 30 12 16 15 17 17 19 19 20 255 294 321 301 330 320 345 340 The cost of producing each unit is $1,000 on regular time, $1,300 on overtime, and $1,800 on a subcontract. Inventory carrying cost is $200 per unit per month. There is no beginning or ending inventory in stock, and no backorders are permitted from period to period. Let the production (workforce) vary by using regular time first, then overtime, and then subcontracting. a) Set up a production plan that minimizes cost by producing exactly what the demand is each month. This plan allows no backorders or inventory. What is this plan's cost? b) Through better planning, regular-time production can be set at exactly the same amount, 275 units, per month. If demand cannot be met there is no cost assigned to shortages and they will not be filled. Does this alter the solution? c) If overtime costs per unit rise from $1,300 to $1,400, will your answer to (a) change? What if overtime costs then fall to $1,200?
Transcribed Image Text:1- Dwayne Cole, owner of a Florida firm that manufactures display cabinets, develops an 8- month aggregate plan.Demand and capacity (in units) are forecast as follows: CAPACITY SOURCE (UNITS) JAN. FEB. MAR. APR. MAY JUNE JULY AUG. Regular time 235 255 290 300 300 290 300 290 Overtime Subcontract Demand 20 24 26 24 30 28 30 30 12 16 15 17 17 19 19 20 255 294 321 301 330 320 345 340 The cost of producing each unit is $1,000 on regular time, $1,300 on overtime, and $1,800 on a subcontract. Inventory carrying cost is $200 per unit per month. There is no beginning or ending inventory in stock, and no backorders are permitted from period to period. Let the production (workforce) vary by using regular time first, then overtime, and then subcontracting. a) Set up a production plan that minimizes cost by producing exactly what the demand is each month. This plan allows no backorders or inventory. What is this plan's cost? b) Through better planning, regular-time production can be set at exactly the same amount, 275 units, per month. If demand cannot be met there is no cost assigned to shortages and they will not be filled. Does this alter the solution? c) If overtime costs per unit rise from $1,300 to $1,400, will your answer to (a) change? What if overtime costs then fall to $1,200?
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