Two groups of inspectors, A and B, are to be assigned to a quality control inspection. At least 1800 pieces must be inspected per 8-hour day. Group A inspectors can check pieces at a rate of 25 per hour, with an accuracy of 98%. Group B inspectors check at a rate of 15 pieces per hour, with an accuracy of 95%. The wage rate of a group A inspector is $4 per hour, whereas that of a group B inspector is $3 per hour. Each time an error is made by an inspector, the cost to is $2. Total 8 group A inspectors and 10 group B inspectors are available. The objective is to determine the optimal assignment of inspectors, i. e., how many inspectors from each group are assigned to inspection, which minimizes the total cost of inspection.