A doughnut shop has two kitchens in which the dough is rolled out and cut. Kitchen 1 can produce up to 150 dozen per day and kitchen 2 can produce up to 125 dozen per day. The dough is then sent via conveyor belt to one of two deep fryers. The cost of sending the dough by the conveyor belt from the kitchens to the fryers is given below. From the deep fryers, the doughnuts are then loaded onto trays and sent to the bakery to be glazed. The cost to send doughnuts from Fryer A to the bakery to be glazed is $0.40 per dozen and the cost to send doughnuts from Fryer B to the bakery to be glazed is $0.33 per dozen. Additionally, doughnuts can be moved between the two fryers by cart for $0.12 per dozen. The bakery has a fixed daily demand of 200 dozen. Formulate a balanced transshipment problem to minimize the cost of meeting the bakery’s demand. Draw the network OR write the associated linear program.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A doughnut shop has two kitchens in which the dough is rolled out and cut. Kitchen 1 can produce up to 150 dozen per day and kitchen 2 can produce up to 125 dozen per day. The dough is then sent via conveyor belt to one of two deep fryers. The cost of sending the dough by the conveyor belt from the kitchens to the fryers is given below.

From the deep fryers, the doughnuts are then loaded onto trays and sent to the bakery to be glazed. The cost to send doughnuts from Fryer A to the bakery to be glazed is $0.40 per dozen and the cost to send doughnuts from Fryer B to the bakery to be glazed is $0.33 per dozen. Additionally, doughnuts can be moved between the two fryers by cart for $0.12 per dozen. The bakery has a fixed daily demand of 200 dozen. Formulate a balanced transshipment problem to minimize the cost of meeting the bakery’s demand. Draw the network OR write the associated linear program.

Fryer A
Fryer B
Kitchen A ($/dozen) Kitchen B ($/dozen)
0.34
0.11
0.26
0.55
Transcribed Image Text:Fryer A Fryer B Kitchen A ($/dozen) Kitchen B ($/dozen) 0.34 0.11 0.26 0.55
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