Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce, each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model-B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2.25, and the profit for each model B grate is $1.75. Available for grate production each day are 1000 pounds of cast iron and 21 labor-hours. Because of an excess inventory of model A grates, management has decided to limit the production of model A grates to no more than 180 grates per day. Find the range of values that Resource 2 (labor-houts) can assume. (b) For the current optimal solution to hold, constraint 3 (production of model A grates) cannot be decreased by more than grates per day.
Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce, each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model-B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2.25, and the profit for each model B grate is $1.75. Available for grate production each day are 1000 pounds of cast iron and 21 labor-hours. Because of an excess inventory of model A grates, management has decided to limit the production of model A grates to no more than 180 grates per day. Find the range of values that Resource 2 (labor-houts) can assume. (b) For the current optimal solution to hold, constraint 3 (production of model A grates) cannot be decreased by more than grates per day.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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