8 August 1,500 The total overtime production cost $ (Enter your response as a whole number) The total inventory holding cost for January through August The total stockout cost-$(Enter your response as a whole number) The total cost, excluding normal time labor costs, for Plan D=$(Enter your response as a whole number.) (Enter your response as a whole number.) 1.600

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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Question
The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next 8 months as follows:
January
February
March
1,600
1,700
1,800
April
1,700
Month
0 December
1 January
2 February
3 March
Her operations manager is considering a new plan, which begins in January with 200 units of inventory on hand. Stockout cost of lost sales is $70 per unit. Inventory holding cost is $25 per unit per month. Ignore any idle-time costs. Evaluate the following plans
D and E.
4 April
6 May
6 June
Plan D: Keep the current workforce stable at producing 1,600 units per month. In addition to the regular production, another 20% of the normal production units can be produced in overtime at an additional cost of $55 per unit. A warehouse now constrains the
maximum allowable inventory on hand to 600 units or less.
Note: Do not produce in overtime if production or inventory are adequate to cover demand.
7 July
8 August
Demand
1,500
1,700
1,800
1,700
2,100
2,100
1,800
1,500
The total overtime production cost-S (Enter your response as a whole number)
The total inventory holding cost for January through August (Enter your response as a whole number.)
The total stockout cost = $(Enter your response as a whole number.)
The total cost, excluding normal time labor costs, for Plan D=$(Enter your response as a whole number.)
4 April
5 May
6 June
Show Transcribed Text
1.600
1,600
1,600
1,600
1,600
1,600
1,600
1,600
May
June
1,500
2 February 1,700
3 March
1.800
1,700
2.100
2,100
1.800
1,500
7 July
8 August
الأسال
The total subcontracting cost=$. (Enter your response as a whole number)
The total inventory holding cost for January through August = $(Enter your response as a whole number.)
The total cost, excluding normal time labor costs, for Plan E = $. (Enter your response as a whole number.)
August
2,100
2,100
1,800
1,500
Plan D
O.T.
Ending
Production
(Units) Production (Units) Inventory Stockouts (Units)
200
Plan E: Keep the current workforce, which is producing 1,800 units per month, and subcontract to meet the rest of the demand. Subcontract cost is $75 per unit. Subcontracting capacity is limited to 500 units per month. The warehouse and overtime constraints
from Plan D do not apply to this plan.
1,600
1,600
1.600
1,600
1,800
1.600
1.600
1,600
Production
Ending
Month Demand (Units) Subcontract (Units) Inventory
200
0 December
1 January
Plan E
D
e
Transcribed Image Text:The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next 8 months as follows: January February March 1,600 1,700 1,800 April 1,700 Month 0 December 1 January 2 February 3 March Her operations manager is considering a new plan, which begins in January with 200 units of inventory on hand. Stockout cost of lost sales is $70 per unit. Inventory holding cost is $25 per unit per month. Ignore any idle-time costs. Evaluate the following plans D and E. 4 April 6 May 6 June Plan D: Keep the current workforce stable at producing 1,600 units per month. In addition to the regular production, another 20% of the normal production units can be produced in overtime at an additional cost of $55 per unit. A warehouse now constrains the maximum allowable inventory on hand to 600 units or less. Note: Do not produce in overtime if production or inventory are adequate to cover demand. 7 July 8 August Demand 1,500 1,700 1,800 1,700 2,100 2,100 1,800 1,500 The total overtime production cost-S (Enter your response as a whole number) The total inventory holding cost for January through August (Enter your response as a whole number.) The total stockout cost = $(Enter your response as a whole number.) The total cost, excluding normal time labor costs, for Plan D=$(Enter your response as a whole number.) 4 April 5 May 6 June Show Transcribed Text 1.600 1,600 1,600 1,600 1,600 1,600 1,600 1,600 May June 1,500 2 February 1,700 3 March 1.800 1,700 2.100 2,100 1.800 1,500 7 July 8 August الأسال The total subcontracting cost=$. (Enter your response as a whole number) The total inventory holding cost for January through August = $(Enter your response as a whole number.) The total cost, excluding normal time labor costs, for Plan E = $. (Enter your response as a whole number.) August 2,100 2,100 1,800 1,500 Plan D O.T. Ending Production (Units) Production (Units) Inventory Stockouts (Units) 200 Plan E: Keep the current workforce, which is producing 1,800 units per month, and subcontract to meet the rest of the demand. Subcontract cost is $75 per unit. Subcontracting capacity is limited to 500 units per month. The warehouse and overtime constraints from Plan D do not apply to this plan. 1,600 1,600 1.600 1,600 1,800 1.600 1.600 1,600 Production Ending Month Demand (Units) Subcontract (Units) Inventory 200 0 December 1 January Plan E D e
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