Formulation of Linear Programming Problem - 7 H R Management - Recruitment and Selection

Published: 17 September 2016
on channel: PUAAR Academy
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#Operations Research_OR
#Math_Statistics
#Linear Programming
#Formulation of LPP

A Company has two types of quality control Inspectors Type-A and Type-B, the members of which are to be assigned for a quality control inspection job. It is required that at least 2000 pieces to be inspected per 8-hour day. Type-A Inspectors can check pieces at the rate of 40 per hour, with an accuracy of 97%. Type-B Inspectors can check at the rate of 30 pieces per hour with an accuracy of 95%.

The wage rate of Type-A Inspector is Rs. 5 per hour while that of a Type-B Inspector is Rs. 4 per hour. An error made by Inspector costs Rs. 3 to a company. There are only 9 Type-A Inspectors and 11 Type-B Inspectors available with the company. The Company wishes to assign work to the available inspectors to minimize the total cost of the Inspection. Formulate this problem as an LP model to minimize the daily inspection cost. (Do not solve only formulate).

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