Question

Asked Nov 15, 2019

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Production A ﬁrm produces three products, A, B, and C, that require processing by three machines, I, II, and III. The time in hours required for processing one unit of each product by the three machines is given by the following table:

A | B | C | |

I | 3 | 1 | 2 |

II | 1 | 2 | 1 |

III | 2 | 4 | 1 |

Machine I is available for 440 hours, machine II for 310 hours, and machine III for 560 hours. Find how many units of each product should be produced to make use of all the available time on the machines.

Is 74, 88, and 60 correct?

Step 1

Suppose a firm produces A, B and C that require processing by three machines I, II and III respectively:

By the following table:

Step 2

Given that machine I is available for 440 hours, machine II for 310 hours, and machi...

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