An individual is given the choice of receiving $1,000,000 today; or of receiving $100,000 per year for the next 15 years, for a total of $1,500,000 to be received. The difference of $500,000 between the 2 amounts is due to the:

Acompany determined that the budgeted cost of producing a product is $30 per unit. on june 1, there were 80,000 units on hand, the sales department budgeted sales of 300,000 units in june, and the company desires to have 120,000 units on hand on june 30. the budgeted cost of goods sold for june would be

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.