ASSIGNMENT PROBLEM
Problem 1.93
A company has two grades of inspectors, 1 and 2 to undertake quality control inspection. At least 3,500 pieces must be inspected in an 8 hour day. Grade 1 inspector can check 50 pieces in an hour with an accuracy of 95%. Grade 2 inspector checks 25 pieces an hour with an accuracy of 90%.
The daily wages of grade 1 inspectors are Rs. 6 per hour while those of grade 2 inspectors are Rs. 5 per hour. Any error made by an inspector costs Rs. 4 per piece to the company. If there are, in all, 20 grade 1 inspectors and 25 grade 2 inspectors in the company, find the optimal assignment of inspectors that minimizes the daily inspection cost. Formulate the LP problem.
Solution
Let x1 and x2 be the number of grade 1 and 2 inspectors ...
Get Quantitative Techniques: Theory and Problems now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
