A factory makes A factory makes two types of lock, standard and large. The maximum number of standard locks that the factory can make is 100. The maximum number of large locks that the factory can make is 80. The factory must make at least 60 locks in total. The factory must make more large locks than standard locks. Each standard lock requires 2 screws, and each large lock requires 8 screws, and the factory must use a least 320 screws. A standard lock costs 21 Pounds to make and a large lock costs 43 to make. The factory manager wishes to minimize the total daily production cost of the locks. Formulate the linear programming model.
A factory makes A factory makes two types of lock, standard and large. The maximum number of standard locks that the factory can make is 100. The maximum number of large locks that the factory can make is 80. The factory must make at least 60 locks in total. The factory must make more large locks than standard locks. Each standard lock requires 2 screws, and each large lock requires 8 screws, and the factory must use a least 320 screws. A standard lock costs 21 Pounds to make and a large lock costs 43 to make. The factory manager wishes to minimize the total daily production cost of the locks. Formulate the linear programming model.
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:A factory makes A factory makes two types of lock, standard and large.
The maximum number of standard locks that the factory can make is 100.
The maximum number of large locks that the factory can make is 80.
The factory must make at least 60 locks in total.
The factory must make more large locks than standard locks.
Each standard lock requires 2 screws, and each large lock requires 8 screws, and the factory must use at
least 320 screws.
A standard lock costs 21 Pounds to make and a large lock costs 43 to make.
The factory manager wishes to minimize the total daily production cost of the locks.
Formulate the linear programming model.
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