A factory manufactures two types of calculators Scientific and Digital. Each type of calculator requires the use of two machines, A and B. It takes 12 + e minutes on machine A and 25 + c minutes on machine B to manufacture Scientific calculator, while it takes 20 + a minutes on machine A and 35 +b minutes on machine B to manufacture Digital calculator. Machine A is available for at most 200 – a minutes and machine B is available for at most 400 – b minutes on any day. The manufacturer can sell Scientific calculator at a profit of 30 + a +b R.O. and Digital calculator at a profit of 20 – b + e R.O. Assume that he can sell all the phones he manufactures. Formulate the above as a Linear programming problem in order to maximize his profit.
A factory manufactures two types of calculators Scientific and Digital. Each type of calculator requires the use of two machines, A and B. It takes 12 + e minutes on machine A and 25 + c minutes on machine B to manufacture Scientific calculator, while it takes 20 + a minutes on machine A and 35 +b minutes on machine B to manufacture Digital calculator. Machine A is available for at most 200 – a minutes and machine B is available for at most 400 – b minutes on any day. The manufacturer can sell Scientific calculator at a profit of 30 + a +b R.O. and Digital calculator at a profit of 20 – b + e R.O. Assume that he can sell all the phones he manufactures. Formulate the above as a Linear programming problem in order to maximize his profit.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Note: a=5, b=9, c=7, e=1
Transcribed Image Text:1. A factory manufactures two types of calculators Scientific and Digital. Each type of calculator requires the
use of two machines, A and B. It takes 12 + e minutes on machine A and 25 +c minutes on machine B to
manufacture Scientific calculator, while it takes 20 + a minutes on machine A and 35 + b minutes on
machine B to manufacture Digital calculator. Machine A is available for at most 200 – a minutes and
machine B is available for at most 400 – b minutes on any day. The manufacturer can sell Scientific
calculator at a profit of 30 + a + b_R.O. and Digital calculator at a profit of 20 – b + e R.O. Assume that
he can sell all the phones he manufactures. Formulate the above as a Linear programming problem in
order to maximize his profit.
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