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Solve the following maximisation problem by applying the Kuhn-Tucker theorem: Max xy subject to 4x^2 2xy 4y^2 x + 2y 2 2x - y -1 Find the five-number summary for the data set shown in the table below.266078246421528663506570274535Five-number summary:Minimum =Q1Q1 =Median =Q3Q3 =Maximum = : Problem (Modified from Problem 7-10 on page 248). Suppose that the random variable X has the continuous uniform distribution f(R) 0, otherwise Suppose that a random sample of n-12 observations is selected from this distribution, and consider the sample mean X. Although the sample size n -12 is not big, we assume that the Central Limit Theorem is applicable. (a) What is the approximate probability distribution of Xt Find the mean and variance of this quantity Appendix Table III on page 743 of our text to approximate the probability P045 Allied Biscuit Co. is expected to generate a free cash flow (FCF) of $9,760.00 million this year (FCF! = $9,760.00 million), and the FCF is expected to grow at a rate of 21.40% over the following two years (FCF2 and FCF). After the third year, however, the FCF is expected to grow at a constant rate of 2.82% per year, which will last forever (FCF4). If Allied Biscuit Co.'s weighted average cost of capital (WACC) is 8.46%, what is the current total firm value of Allied Biscuit Co.? $235,875.90 million $292,577.13 million O $283,051.08 million O $30,345.04 million Allied Biscuit Co.'s debt has a market value of $176,907 million, and Allied Biscuit Co. has no preferred stock. If Allied Biscuit Co. has 225 million shares of common stock outstanding, what is Allied Biscuit Co.'s estimated intrinsic value per share of common what made africa a prosperous continent When it comes to new technology, where do you fall on the diffusion of innovation curve? Where are your parents? Do you think it's mostly young people who are early adopters of technologies? The kick-off session talked about great technologies failing because society wasn't ready for it. Do you have an example of this where it was a great technology/innovation but it still failed? DEMAND CURVES and ENGLE CURVES: Consider the following consumersproblem: U(X,Y) = X1/2 Y1/2 . Suppose that she has income (I) and faces prices Pxand Py.a) Sketch the budget set. What is the slope of the Budget Line? What are maximal possibleconsumptions of X and Y? (note: these will depend on what values of I, Px and Py are given).b) Show that the MRSXY = Y/X.c) Show that the consumer will spend of her income on Good X and on Good Y.d) Now, sketch the Demand Curve for X and then for good Y. Show that both are downwardsloping.e) Sketch the Engel Curve for X and then for good Y. Show that both are upward sloping.f) Suppose income (I) is $1000, Px = $6 and Py = $4. Find the optimal consumption bundle.g) At the optimum, what is the Demand Elasticity for good x? recall: demand elasticity =[X/Px][Px/X]. Interpret the value you calculate.h) At the optimum, what is the Income Elasticity for good x? recall: Income elasticity =[X/I][I/X]. Interpret the value you calculate. Using the demand and supply curves for bonds, explain the effectof the following on the interest rates.a. A business cycle contractionb. Low inflationary expectation Explain whether the enforcement of following organizations' rules would administrative law. a. The Liquor Control Board b. The Tropical Fish Breeders Association c. The Institute of Law Clerks d. The Canadian Radio-television and Telecommunications Commission Show that (x > 1) a = 1; y = x; y = y a; (y > 0 ^ x> y) Sunk costs are:A)operating and maintenance costsB)costs at the end of an asset's service lifeC)external costsD)non-recoverable portion of capital costsE)opportunity costs True/Falsehe marginal rate of transformation between two goods indicates the rate at which an efficient economy would have to give up one good to obtain more of the other.Expert Answer A linear relationship exists between the quantities whose values are represented by s and r in the table below. What is the value of r when s = 9? Solve the equation 10(5(n + 1) + 4(n 1)) = 7(5 + n) - (25 3n) and type in your answer below. Question 4 1 pts Six cards are drawn from a standard deck of 52 cards. How many hands of six cards contain exactly two Kings and two Aces? O 272.448 36 34,056 20,324,464 1.916 958 Assume a monopolist with marginal costs of 4 and no fixed cost seils to two different groups of by Write short notes with an example of Responsible andIrresponsible business. An investor has $500,000 and wishes to invest it in one of two investment alternatives, namely ? [Balance sheet for fresh-start reporting evaluation] Tessa Ltd. which operated under Chapter 11 of the bankruptcy act, released its balance sheet when they submited their reorganization plan as follows (in thousands): August 1, 2014 Cash and equivalents $ 275 Accounts receivable 200 Inventories 250 Land 300 Buildings - net 350 Equipment - net 300 Total assets $ 1,675 Liabilities subject to compromise $ 1,500 Accounts payable 200 Wages payable 100 Bond payable 400 Interest payable 100 Total liabilities $ 2,300 Common stock $ 900 Deficit (1,525) Total equity $ 1,675 Tessas reorganization plan is as follows: 1. Bondholders agree to accept $200,000 of new common stock, $150,000 of senior debt of 12% bonds, and $50,000 cash payable at December 31, 2014. 2. Priority tax claims of $100,000 will be paid after reorganization plan is confirmed. 3. Accounts payable will be settled using $200,000 of new common stock and $300,000 of subordinate debts. 4. Current accrued interest payable on bonds is forgiven. 5. Equity holders will exchange their stock with $250,000 of new common stock. REQUIRED: Show calculations and determine whether Tessa is confirmed for a fresh-start reporting. Evaluate the line integral % ds, where C is the line segment from (0, 3, 1) to (6, 5, 6).