Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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1. Power Notebooks, Inc. plans to manufacture a new line of notebook computers.
Management is trying to decide whether to purchase the LCD screens for the
computers from an outside supplier or to manufacture the screens in-house. The
screens cost $100 each from the outside supplier. To set up the assembly process
required to produce the screens in-house would cost $100,000. The company could
then produce each screen for $75. The number of notebooks that eventually will be
produced (Q) is unknown at this point.
a. Set up a spreadsheet that will display the total cost of both options for any
value of Q. Use trial-and-error with the spreadsheet to determine the range
of production volumes for which each alternative is best.
b. Use a graphical procedure to determine the break-even point for Q (i.e., the
quantity at which both options yield the same cost).
2. Back Savers is a company that produces backpacks primarily for students. They
are considering offering some combination of two different models-the Collegiate
and the Mini. Both are made out of the same rip-resistant nylon fabric. Back Savers
has a long-term contract with a supplier of the nylon and receives a 5000 square-
foot shipment of the material each week. Each Collegi
while each Mini requires 2 square feet. The sales forecasts indicate that at most
1000 Collegiates and 1200 Minis can be sold per week. Each Collegiate requires 45
minutes of labor to produce and generates a unit profit of $32. Each Mini requires
40 minutes of labor and generates a unit profit of $24. Back Savers has 35 laborers
that each provides 40 hours of labor per week. Management wishes to know what
quantity of each type of backpack to produce per week.
requires 3 square feet
a. Formulate and solve a linear programming model for this problem on a spreadsheet.
b. How much Collegiates and Minis should they produce to achieve the maximum total
profit? How much is the maximum total profit?
c. Formulate this same model algebraically.
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Transcribed Image Text:1. Power Notebooks, Inc. plans to manufacture a new line of notebook computers. Management is trying to decide whether to purchase the LCD screens for the computers from an outside supplier or to manufacture the screens in-house. The screens cost $100 each from the outside supplier. To set up the assembly process required to produce the screens in-house would cost $100,000. The company could then produce each screen for $75. The number of notebooks that eventually will be produced (Q) is unknown at this point. a. Set up a spreadsheet that will display the total cost of both options for any value of Q. Use trial-and-error with the spreadsheet to determine the range of production volumes for which each alternative is best. b. Use a graphical procedure to determine the break-even point for Q (i.e., the quantity at which both options yield the same cost). 2. Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two different models-the Collegiate and the Mini. Both are made out of the same rip-resistant nylon fabric. Back Savers has a long-term contract with a supplier of the nylon and receives a 5000 square- foot shipment of the material each week. Each Collegi while each Mini requires 2 square feet. The sales forecasts indicate that at most 1000 Collegiates and 1200 Minis can be sold per week. Each Collegiate requires 45 minutes of labor to produce and generates a unit profit of $32. Each Mini requires 40 minutes of labor and generates a unit profit of $24. Back Savers has 35 laborers that each provides 40 hours of labor per week. Management wishes to know what quantity of each type of backpack to produce per week. requires 3 square feet a. Formulate and solve a linear programming model for this problem on a spreadsheet. b. How much Collegiates and Minis should they produce to achieve the maximum total profit? How much is the maximum total profit? c. Formulate this same model algebraically.
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