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 8 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, managernent 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-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. Need Help? Read It
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 8 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, managernent 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-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. Need Help? Read It
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 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.
(a) 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.
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