c. Next, create a table showing marginal revenues, marginal costs and marginal profits. Indicate in this table where TOTAL profits are maximized and where TOTAL REVENUES are maximized. (NOTE: You should take derivatives to calculate MR, MC and M profit. Again, please let quantity run from 0 to 10 in make increments of 1)
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Part C but I think info from part 1 was needed
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- NAME ____________________(6) Due _____________ Show work for credit! The demand for product Q is given by Q = 350 - .25P and the total cost of Q by: STC = 20000 + 200Q - 9Q2 + 1/3Q3 a. Find the price function and then the TR function. See Assignment 3 or 4 for an example. b. Write the MR and MC functions below. Remember: MR = dTR/dQ and MC = dSTC/dQ. See Assignment 5 for a review of derivatives c. What positive value of Q will maximize total profit? Remember: Setting MR = MC and solving for Q will give you the Q that maximizes total profit. The value of Q you get should not be zero or negative. d. Use the price function found in (a) to determine the price per unit that will need to be charged at the Q found in (c). This will be the price you should ask per unit for each unit of Q that maximizes total profit. e. How much total profit will result from selling the quantity found in (c) at the price found in (d)? Remember, profit is TR – STC.…13. If Ginger Rayle was offered $4,000 five years from now in return for an investment of $1,000 currently, what annual rate of interest would she earn if she took the offer? 14. When you complete your MBA, you will treat yourself to a new car. The car you want to buy costs $25,000 and you have enough to put 20% down in cash. You can take out a loan for the rest of the cost of the car. Calculate your monthly car payments assuming the auto finance department states that the annual interest rate on the car loan is 8% and you pay the loan over a 3-year period.The market interest rate is 9 percent and is expected to stay at that level. Consumers can borrow and lend all they want at this rate. Consider each of the following situations. 1) Would you prefer a $500 gift today or a $540 gift next year? 2) Would you prefer a $100 gift now or a $500 loan without interest for four years? 3) Would you prefer a $350 rebate on an $8000 car or one year of financing for the full price of the car at 0 percent interest?
- 3. Suppose the investment yield on a 91-day T-bill is 3%. What is its discount- basis yield? Show your solutionWill Stephanie have enough funds for her investment in stocks and bonds, when needed? What will be the surplus/shortfall, if any? Given that Stephanie’s bank offers an interest rate of 6% per year, what additional amount should she have deposited as a fixed deposit in the bank so as to accumulate the amount needed for her investment in stocks and bonds when needed?Suppose Ford Motor Company issues bonds with a face value of $500 and an annual coupon payment of $20 What is the interest rate Ford is paying on the borrowed funds? The interest rate is percent
- As and example of a possible investment restriction, an insurer mah only be allowed to invest up to 20 percent of its assets in common stock. What penalty is imposed upon the insurer that invests 30 percent of available assets in common stock?A. The additional 10 percent must be disposed of by year endB. The state regulators would impose a 10 percent fine on the insurer.C. The additional 10 percent would be a nonadmitted asset.D. The additional 10 percent would only be listed at cost.5. Consider the set-up in the lecture slides on credit: There are two borrowers (denoted by S and R respectively) each of whom need 1 unit of credit for an investment. There is one lender (denoted by L) with one unit of credit and can only lend to one borrower. both the lender and borrowers are risk-neutral (that is, they only care about the expected profits and expected returns respectively). Further, the borrowers and lender have a reservation return of zero (that is, they will undertake to borrow or lend as long as the expected return or profit is strictly greater than zero). Finally, each borrower will repay if she is able to and nothing is repaid if the investment fails (i.e. there is limited liability). (a) Suppose that there are two states of the world (g,b) each occurring with equal probability. In state g the return to S is 1.4 and R’s return is 1 + d for some d > 0. In state b, S’s return is 1.4 and R’s return is 0. Suppose that the bank can charges a separate interest…A British pharmaceutical company spent several years and considerable funds on the development of a treatment for HIV patients. Now, with the protection afforded by patent rights, the company has the potential to reap enormous gains. The government, in response, has threatened to tax away any economic rents the company may earn. Is this a sensible policy? Why or why not? (Hint: Contrast the short-run and long-run effects of taxing away the economic rents.)
- A Company's stock currently pays a dividend of $5 dollars per year and you expect that dividend to grow by 3% every year, forever, such that next year you expect the dividend to be 5.15, to be 5.3045 the year after that, and so on. If your discount rate is 9%, a fair price for this stock today is_____.If your discount rate were to fall to 7%, holding all else the same, the fair price of the stock would increase to_________.(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? [1%] (b) In the next period however, the interest rate changes unexpectedly to i 0 . What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i 0 > i? [4%] (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period? [5%]The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?