A company has two grades of inspectors, 1 and 2, who are to be assigned for...
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A company has two grades of inspectors, 1 and 2, who are to be assigned for a quality control inspection. It is required that at least 1800 pieces be inspected per 8-hour day. Grade 1 inspectors can check pieces at the rate of 25 per hour, with an accuracy of 98%. Grade 2 inspectors check at the rate of 15 pieces per hour, with an accuracy of 95%. The wage rate of grade 1 inspector is $4.00 per hour, while that of a grade 2 inspector is $3.00 per hour. Each time an error is made by an inspector, the cost to the company is $2.00. The company has available for the inspection job eight grade 1 inspectors, and ten grade 2 inspectors. The company wants to determine the optimal assignment of I inspectors, which will minimize the total cost of the inspection. Formulate the problem as integer programming problem and solve it using branch and bound method. A company has two grades of inspectors, 1 and 2, who are to be assigned for a quality control inspection. It is required that at least 1800 pieces be inspected per 8-hour day. Grade 1 inspectors can check pieces at the rate of 25 per hour, with an accuracy of 98%. Grade 2 inspectors check at the rate of 15 pieces per hour, with an accuracy of 95%. The wage rate of grade 1 inspector is $4.00 per hour, while that of a grade 2 inspector is $3.00 per hour. Each time an error is made by an inspector, the cost to the company is $2.00. The company has available for the inspection job eight grade 1 inspectors, and ten grade 2 inspectors. The company wants to determine the optimal assignment of I inspectors, which will minimize the total cost of the inspection. Formulate the problem as integer programming problem and solve it using branch and bound method.
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Formulation Let x1 and x2 be the number of grade1 and grade2 inspectors assigned per 8hour shift Cos... View the full answer
Related Book For
Statistics for Business and Economics
ISBN: 978-0132930192
8th edition
Authors: Paul Newbold, William Carlson, Betty Thorne
Posted Date:
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