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.

Destablishing a distribution network

$527.7.if the following was the question  $527.7 is the answer.students who are trying to raise funds have an agreement with a local pizza chain. the chain has agreed to sell them pizzas at a discount, which the students can then resell to families in the local community for a profit. it is expected that of the 500 families in the community, at most 70% will buy pizza. based on a survey of their personal preferences, the students believe that they should order no more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. they also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. they make a profit of $1.45, $1.75, and $1.98, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. how many pizzas of each type should they buy?