A company manufactures two types of products. Each product type needs a turning process at the lathe and a milling process at the milling machine. If the lathe is used for type 1 products only, it can process 500 units in a day. If the lathe is used for type 2 products only, it can process 300 units in a day. If the milling machine is used for type 1 products only, it can procos 900 units in a day. If the milling machine is usad for type 2 products only, it can procoss 450 units in a day. The unit profits for product types 1 and 2 are $50 and $75. respectively. Formulate an LP that will maximize the company's daily profit. (a) Decision variables? (b) Objective and objective function? (c) Constraints?
A company manufactures two types of products. Each product type needs a turning process at the lathe and a milling process at the milling machine. If the lathe is used for type 1 products only, it can process 500 units in a day. If the lathe is used for type 2 products only, it can process 300 units in a day. If the milling machine is used for type 1 products only, it can procos 900 units in a day. If the milling machine is usad for type 2 products only, it can procoss 450 units in a day. The unit profits for product types 1 and 2 are $50 and $75. respectively. Formulate an LP that will maximize the company's daily profit. (a) Decision variables? (b) Objective and objective function? (c) Constraints?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section: Chapter Questions
Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...
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![A company manufactures two types of products. Each product type needs a turning process at the lathe and a milling
process at the milling machine. If the lathe is used for type 1 products only, it can process 500 units in a day. If the lathe
is used for type 2 products only, it can process 300 units in a day. If the milling machine is used for type 1 products only, it
can proces 900 units in a day. If the milling machine is used for type 2 products only, it can process 450 units in a day. The
unit profits for product types 1 and 2 are $50 and $75, respectively. Formulate an LP that will maximize the company's daily
profit.
(a)
Decision variables?
(b)
Objective and objective function?
(c)
Constraints?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff72a90eb-d03d-4963-8520-ecb63c9091de%2Fde2bf08c-ecda-487c-b102-3f825a0bb63e%2Fepsci1l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company manufactures two types of products. Each product type needs a turning process at the lathe and a milling
process at the milling machine. If the lathe is used for type 1 products only, it can process 500 units in a day. If the lathe
is used for type 2 products only, it can process 300 units in a day. If the milling machine is used for type 1 products only, it
can proces 900 units in a day. If the milling machine is used for type 2 products only, it can process 450 units in a day. The
unit profits for product types 1 and 2 are $50 and $75, respectively. Formulate an LP that will maximize the company's daily
profit.
(a)
Decision variables?
(b)
Objective and objective function?
(c)
Constraints?
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