Suppose that the production function faced by a 30-weight ball bearing producer is given by Q=4K0.5L 0.5. Do both labor and capital display diminishing marginal products? Find the marginal rate of technical substitution for this production function. (Hint: MRTS = MPL/MPK.) Does this production function display a diminishing marginal rate of substitution?

Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. in this case, the country that produces jeans will produce million pairs per week, and the country that produces corn will produce million bushels per week.

German brothels recently began offering a monthly subscription service for multiple purchasers. if you thought that the brothels' encouragement of prostitution was immoral to begin with, would you consider this pricing plan to be even more immoral? suppose a particular patron at a german brothel has the following willingness-to-pay schedule for services at the brothel, per session. session willingness to pay 1st $84 2nd $72 3rd $60 4th $48 5th $36 6th $24 suppose this consumer would not demand any more sessions, even for free. also assume that the marginal cost to the brothel, per session, is constant at $12. at a price of $78.00 per session, the number of sessions demanded by this consumer would be . at this price and quantity, consumer surplus is $ and producer surplus is $ . suppose the brothel has devised a new pricing scheme for consumers who demand more than 1 session. this pricing scheme is a subscription service, whereby consumers can pay a flat fee of $259.20 and can have up to 6 sessions total. using this subscription pricing model, this consumer would demand sessions. under this scenario, consumer surplus is $ and producer surplus is $ . (hint: for consumer surplus, consider how much total value the consumer places on all sessions, versus the total price paid.)

Benning manufacturing company is negotiating with a customer for the lease of a large machine manufactured by benning. the machine has a cash price of $980,000. benning wants to be reimbursed for financing the machine at a 9% annual interest rate. (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.) required: 1. determine the required lease payment if the lease agreement calls for 10 equal annual payments beginning immediately. 2. determine the required lease payment if the first of 10 annual payments will be made one year from the date of the agreement. 3. determine the required lease payment if the first of 10 annual payments will be made immediately and benning will be able to sell the machine to another customer for $68,000 at the end of the 10-year lease.