Your enterprising uncle opens a sandwich shop that employs seven people. These employees are paid $6 per hour and a sandwich sells for $3. Your uncle is maximizing profit at all times. What is the value of the marginal product of the last worker your uncle hired? What is the last worker’s actual marginal product?

Allie and sarah decided that they want to purchase renters insurance for the apartment they share. they made a list of all of the items to be covered by the insurance policy, along with their estimated values. if the items to be covered total more than $3000, the insurance company charges an annual premium of 23% of the total value of the items. if the items to be covered total $3000 or less, the insurance company charges an annual premium of 20% of the total value of the items.

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

This exercise illustrates that poor quality can affect schedules and costs. a manufacturing process has 130 customer orders to fill. each order requires one component part that is purchased from a supplier. however, typically, 3% of the components are identified as defective, and the components can be assumed to be independent. (a) if the manufacturer stocks 130 components, what is the probability that the 130 orders can be filled without reordering components? (b) if the manufacturer stocks 132 components, what is the probability that the 130 orders can be filled without reordering components? (c) if the manufacturer stocks 135 components, what is the probability that the 130 orders can be filled without reordering components?