Formulate a linear programming problem that can be used to solve the following question. A firm has plants in Boston and Baltimore that manufacture three models of hot tubs: regular, fancy, and super. In one day the Boston plant can manufacture 32 of the regular model, 24 of the fancy model, and 12 of the super model, and costs $2500 per day to operate, whereas the Baltimore plant can manufacture 12 of the regular model, 16 of the fancy model, and 31 of the super model, and costs $2500 per day to operate. At least 312 of the regular model, 360 of the fancy model, and 456 of the super model are needed. How many days must each plant operate in order to minimize the cost? x= ---Select--- y=--Select--- ---Select--F= Subject to X ---Select--- 0, y ---Select--- 0 (objective function) (regular models) (fancy models) (super models)
Formulate a linear programming problem that can be used to solve the following question. A firm has plants in Boston and Baltimore that manufacture three models of hot tubs: regular, fancy, and super. In one day the Boston plant can manufacture 32 of the regular model, 24 of the fancy model, and 12 of the super model, and costs $2500 per day to operate, whereas the Baltimore plant can manufacture 12 of the regular model, 16 of the fancy model, and 31 of the super model, and costs $2500 per day to operate. At least 312 of the regular model, 360 of the fancy model, and 456 of the super model are needed. How many days must each plant operate in order to minimize the cost? x= ---Select--- y=--Select--- ---Select--F= Subject to X ---Select--- 0, y ---Select--- 0 (objective function) (regular models) (fancy models) (super models)
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:Formulate a linear programming problem that can be used to solve the following question.
A firm has plants in Boston and Baltimore that manufacture three models of hot tubs: regular, fancy, and super. In one day the Boston plant can manufacture 32 of the regular model, 24 of the fancy
model, and 12 of the super model, and costs $2500 per day to operate, whereas the Baltimore plant can manufacture 12 of the regular model, 16 of the fancy model, and 31 of the super model, and
costs $2500 per day to operate. At least 312 of the regular model, 360 of the fancy model, and 456 of the super model are needed. How many days must each plant operate in order to minimize the
cost?
x = ---Select---
y = ---Select---
---Select--- ✓| F=
Subject to
X --Select--- 0, y ---Select--- 0
(objective function)
(regular models)
(fancy models)
(super models)
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