Digital Controis, Inc. (DCI), manufactures two modeis of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas th smaller model B has an accuracy of plus or minus 3 miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Athough DCI purchases all the electronic components used in both models, the plastic cases for models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requares 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-moiding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time avalable and 1,080 minutes of assembly time a The manufacturing cost is $10 per case for model A and $6 per case feor model. Depending upon demand and the time avalable at the Newark plant, DCI occasionally purchases cases for one models from an outside suppler in order to fil customer orders that could not be filed otherwise. The purchase cost is $14 for each model A case and $9 for each model BCase Management wants to develop a minimum cost plan that wil determine how many cases of each model should be produced at the Newark plant and how many cases of each model should be purchased. The follwing decision variables were used to formulate a inear programming model for this problem: AM - number of cases of model A manufactured BM - number of cases of model B manufactured AP= number eof cases of model A purchased BP= number of cases of model 8 purchased The inear programming model that can be used to solve this problem is as follows Min 1GAM+ 6M 14AP 8 SL. + LAP+ - 100 18P- 150 Demand for model A Demend for model Injection malding time Assembly time LAM+ GAN AH s 1,080 AN, BM, AP, BP0 Refer to the computer selution below. Optinal jeetive Value210.00000 Variable Valse educed Cost 100.00000 0.000 40.00 e.000 1.750 e.00000 .0000 Conat.calet lack/arplu tal Valse

Digital Controis, Inc. (DCI), manufactures two modeis of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas th smaller model B has an accuracy of plus or minus 3 miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Athough DCI purchases all the electronic components used in both models, the plastic cases for models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requares 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-moiding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time avalable and 1,080 minutes of assembly time a The manufacturing cost is $10 per case for model A and $6 per case feor model. Depending upon demand and the time avalable at the Newark plant, DCI occasionally purchases cases for one models from an outside suppler in order to fil customer orders that could not be filed otherwise. The purchase cost is $14 for each model A case and $9 for each model BCase Management wants to develop a minimum cost plan that wil determine how many cases of each model should be produced at the Newark plant and how many cases of each model should be purchased. The follwing decision variables were used to formulate a inear programming model for this problem: AM - number of cases of model A manufactured BM - number of cases of model B manufactured AP= number eof cases of model A purchased BP= number of cases of model 8 purchased The inear programming model that can be used to solve this problem is as follows Min 1GAM+ 6M 14AP 8 SL. + LAP+ - 100 18P- 150 Demand for model A Demend for model Injection malding time Assembly time LAM+ GAN AH s 1,080 AN, BM, AP, BP0 Refer to the computer selution below. Optinal jeetive Value210.00000 Variable Valse educed Cost 100.00000 0.000 40.00 e.000 1.750 e.00000 .0000 Conat.calet lack/arplu tal Valse

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...

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