Speed of missiles. Deluxe model has an accuracy of plus or minus 2 km per hour, whereas standard Technologies Corporation (RTC) manufactures two radar models to monitor the model has an accuracy of plus or minus 3 km per hour. For the next week, the company has orders for 60 units of deluxe model and 240 units of standard model. Although RTC purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a RTC plant in hicago. Each deluxe model case requires 4 minutes of injection-molding time and 6 minutes of sembly time. Each standard model case requires 3 minutes of injection-molding time and 8 minutes assembly time. For next week the Chicago plant has 960 minutes of injection-molding time available 1728 minutes of assembly time available. The manufacturing cost is $10 per case for deluxe model $6 per case for standard model. Depending upon demand and the time available at the C nt. RTC occasionally purchases cases for one or both models from an outside supplier in order to customer orders that could not be filled otherwise. The purchase cost is $14 for each deluxe mode = and $9 for each standard model case. Management wants to develop a minimum cost plan that w rmine how many cases of each model should be produced at the Chicago plant and how many ca- ch model should be purchased. et up the linear programming model (variables, objective function, constraints, etc).
Speed of missiles. Deluxe model has an accuracy of plus or minus 2 km per hour, whereas standard Technologies Corporation (RTC) manufactures two radar models to monitor the model has an accuracy of plus or minus 3 km per hour. For the next week, the company has orders for 60 units of deluxe model and 240 units of standard model. Although RTC purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a RTC plant in hicago. Each deluxe model case requires 4 minutes of injection-molding time and 6 minutes of sembly time. Each standard model case requires 3 minutes of injection-molding time and 8 minutes assembly time. For next week the Chicago plant has 960 minutes of injection-molding time available 1728 minutes of assembly time available. The manufacturing cost is $10 per case for deluxe model $6 per case for standard model. Depending upon demand and the time available at the C nt. RTC occasionally purchases cases for one or both models from an outside supplier in order to customer orders that could not be filled otherwise. The purchase cost is $14 for each deluxe mode = and $9 for each standard model case. Management wants to develop a minimum cost plan that w rmine how many cases of each model should be produced at the Chicago plant and how many ca- ch model should be purchased. et up the linear programming model (variables, objective function, constraints, etc).
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section3.8: A Multiperiod Production Model
Problem 19P: The Pigskin Company produces footballs. Pigskin must decide how many footballs to produce each...
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Technologies Corporation (RTC) manufactures two radar models to monitor the
speed of missiles. Deluxe model has an accuracy of plus or minus 2 km per hour, whereas standard
model has an accuracy of plus or minus 3 km per hour. For the next week, the company has orders for
160 units of deluxe model and 240 units of standard model. Although RTC purchases all the electronic
components used in both models, the plastic cases for both models are manufactured at a RTC plant in
Chicago. Each deluxe model case requires 4 minutes of injection-molding time and 6 minutes of
assembly time. Each standard model case requires 3 minutes of injection-molding time and 8 minutes
of assembly time. For next week the Chicago plant has 960 minutes of injection-molding time available
and 1728 minutes of assembly time available. The manufacturing cost is $10 per case for deluxe model
and $6 per case for standard model. Depending upon demand and the time available at the C
plant, RTC occasionally purchases cases for one or both models from an outside supplier in order to
fill customer orders that could not be filled otherwise. The purchase cost is $14 for each deluxe model
case and $9 for each standard model case. Management wants to develop a minimum cost plan that will
determine how many cases of each model should be produced at the Chicago plant and how many cases
of each model should be purchased.
a) Set up the linear programming model (variables, objective function, constraints, etc).
Use Excel Solver to answer the following questions:
b) What is the optimal solution and what is the optimal value of the objective function?
c) Making use of the shadow prices, if you could change the right-hand side of one
constraint by one unit, which one would you choose? Why?
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