Alan Industries is expanding its product line to include three new products: A, B, and C. These are to be produced on the same production equipment, and the objective is to meet the demands for the three products using overtime where necessary. The demand forecast for the next four months, in hours required to make each product is: PRODUCT A B с APRIL 890 690 790 MAY 690 790 590 Objective value JUNE 890 990 790 Because the products deteriorate rapidly, there is a high loss in quality and, consequently, a high carrying cost when a product is made and carried in inventory to meet future demand. Each hour's production carried into future months costs $3 per production hour for A, $4 for B, and $5 for C. APRIL 1,590 790 Production can take place either during regular working hours or during overtime. Regular time is paid at $4 when working on A, $5 for B, and $6 for C. The overtime premium is 50 percent of the regular time cost per hour. The number of production hours available for regular time and overtime is JULY 1,290 1,090 940 MAY 1,450 740 JUNE 1,890 1,120 Regular time Overtime JULY 2,090 980 Calculate the objective value using Excel Solver. (Do not round intermediate calculations.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
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Alan Industries is expanding its product line to include three new products: A, B, and C. These are to be produced on the same
production equipment, and the objective is to meet the demands for the three products using overtime where necessary. The demand
forecast for the next four months, in hours required to make each product is:
PRODUCT
A
B
с
APRIL
890
690
790
Regular time
Overtime
MAY
690
790
590
Because the products deteriorate rapidly, there is a high loss in quality and, consequently, a high carrying cost when a product is made
and carried in inventory to meet future demand. Each hour's production carried into future months costs $3 per production hour for A,
$4 for B, and $5 for C.
Objective value
JUNE
890
990
790
Production can take place either during regular working hours or during overtime. Regular time is paid at $4 when working on A, $5
for B, and $6 for C. The overtime premium is 50 percent of the regular time cost per hour.
The number of production hours available for regular time and overtime is
APRIL
1,590
790
JULY
2,090
980
Calculate the objective value using Excel Solver. (Do not round intermediate calculations.)
JULY
1,290
1,090
940
MAY
1,450
740
JUNE
1,890
1,120
Transcribed Image Text:Alan Industries is expanding its product line to include three new products: A, B, and C. These are to be produced on the same production equipment, and the objective is to meet the demands for the three products using overtime where necessary. The demand forecast for the next four months, in hours required to make each product is: PRODUCT A B с APRIL 890 690 790 Regular time Overtime MAY 690 790 590 Because the products deteriorate rapidly, there is a high loss in quality and, consequently, a high carrying cost when a product is made and carried in inventory to meet future demand. Each hour's production carried into future months costs $3 per production hour for A, $4 for B, and $5 for C. Objective value JUNE 890 990 790 Production can take place either during regular working hours or during overtime. Regular time is paid at $4 when working on A, $5 for B, and $6 for C. The overtime premium is 50 percent of the regular time cost per hour. The number of production hours available for regular time and overtime is APRIL 1,590 790 JULY 2,090 980 Calculate the objective value using Excel Solver. (Do not round intermediate calculations.) JULY 1,290 1,090 940 MAY 1,450 740 JUNE 1,890 1,120
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