A small scale industry manufactures electrical regulators, with a small group of semi-skilled workers both male and female. Due to limitations in space and finance, the number of workers employed cannot exceed 11 and their total salary cannot be more than Rs60, 000 per month. The male workers are paid Rs.6000 per month while the female workers are paid Rs. 5000 per month. It has been found that the male workers are swifter and since they are willing to work overtime, they contribute Rs.10, 000 per month as compared to Rs.8500 from their female counterparts. Apart from their salary, food coupons are provided: 6 coupons to per male employee and 5 coupons to per female employee. However, the total maximum amount of coupons that can be distributed are only 90. a) Formulate the model and find out how many male and female members should the company employ so as to maximize their contribution? b) If they make the female compensation equal to their male counterpart, should there be any change in the optimal allocation of male and female members? Give reasons to your answer. c) If you remove the food coupon constraint, what is the change in the optimal allocation? What is role of the constraint "Food coupon"?

A small scale industry manufactures electrical regulators, with a small group of semi-skilled workers both male and female. Due to limitations in space and finance, the number of workers employed cannot exceed 11 and their total salary cannot be more than Rs60, 000 per month. The male workers are paid Rs.6000 per month while the female workers are paid Rs. 5000 per month. It has been found that the male workers are swifter and since they are willing to work overtime, they contribute Rs.10, 000 per month as compared to Rs.8500 from their female counterparts. Apart from their salary, food coupons are provided: 6 coupons to per male employee and 5 coupons to per female employee. However, the total maximum amount of coupons that can be distributed are only 90. a) Formulate the model and find out how many male and female members should the company employ so as to maximize their contribution? b) If they make the female compensation equal to their male counterpart, should there be any change in the optimal allocation of male and female members? Give reasons to your answer. c) If you remove the food coupon constraint, what is the change in the optimal allocation? What is role of the constraint "Food coupon"?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 98P

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