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 pro 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 hours. Because of an excess inventory of modelA grates, management has decided to limit the production of model A grates to no more than 180 grates per day. (a) Find the range of values that Resource 2 (labor-hours) can assume. sbs (b) For the current optimal solution to hold, constraint 3 (production of model A grates) cannot be decreased by more than 535 x 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 pro 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 hours. Because of an excess inventory of modelA grates, management has decided to limit the production of model A grates to no more than 180 grates per day. (a) Find the range of values that Resource 2 (labor-hours) can assume. sbs (b) For the current optimal solution to hold, constraint 3 (production of model A grates) cannot be decreased by more than 535 x grates per day.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text: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 19 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.
(a) Find the range of values that Resource 2 (labor-hours) can assume.
(b) For the current optimal solution to hold, constraint 3 (production of model A grates) cannot be decreased by more than 535
X grates per day.
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