Operations Research course Math473-2022-3 Q4:Inspection Problem A company has two grades of inspections 1& 2 to undertak
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Operations Research course Math473-2022-3 Q4:Inspection Problem A company has two grades of inspections 1& 2 to undertak
company has two grades of inspections 1& 2 to undertake quality control inspection. At least 1,500 pieces must be inspected in 8 hour per day. Grade 1 inspector can check 50 pieces in an hour with an accuracy of 98%. Grade 2 inspector can check 40 pieces in an hour with an accuracy of 95%. Wages of grade 1 inspector are Rs. 10 per hour while those of grade 2 inspector are Rs. 8 per hour. Any error made by an inspector costs Rs. 6 in grade 1 and Rs. 5 in grade 2 to the company if there are in all. In the company there are at most 10 inspectors in grade 1 and 15 inspectors in grade 2. Let X1 and X2 denote the number of grade 1 and grade 2 inspectors that may be assigned the job of quality control inspection. Find the optimal assignment of inspectors that minimizes the daily inspection cost. inspection inspectors wages per hour Error cost per hour number of Pieces per hour number of inspectors per hour grade 1 10 2% 10 12 grade 2 12 5% 15 10 total --- T 1500
Operations Research course Math473-2022-3 Q4:Inspection Problem A