Juancho wishes to invest Php 100,000 over the next year in three types of investment. Investments A, B and C yields 6%, 4& and 7% percent, respectively. Market research recommends an allocation of at least 20% in and A and at most 50% in B. Moreover, the investment in A should be at least half the investment in C. What should Juancho do with his money? Formulate the linear programming problem. Present the linear objective equation or function and the constraint equations/inequalities
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Juancho wishes to invest Php 100,000 over the next year in three types of investment. Investments A, B and C yields 6%, 4& and 7% percent, respectively.
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- Assume a consumer has current-period income y = 200, future-period income y′ = 150, current and future taxes t = 40 and t′ = 50, respectively, and faces a market real interest rate of r = 0.05, or 5% per period. The consumer would like to consume according to the following utility function: U (c, c′ ) = ln(c) + ln(c′ ). Show mathematically the lifetime budget constraint for this consumer. Find the optimal consumption in the current and future periods and optimal saving. Suppose that instead of r = 0.05 the interest rate is r = 0.1. Repeat parts (a) and (b). Does the substitution effect or the income effect dominate?Limitless Ltd. is planning to buy a new warehouse to store its production output. The investment would require £500,000 to be paid upfront. Thanks to the new warehouse, the company expects to increase its profits by £120,000 annually for the next five years, and then £60,000 for the following five years. Calculate the Net Present Value (NPV) of this investment opportunity if the cost of capital is 12%. Should Limitless Ltd. go ahead with the purchase of the new warehouse? Explain your reasoning. What is the payback period of this investment? Suppose the Internal Rate of Return (IRR) of this investment opportunity is 15%. Based on this information alone, should Limitless Ltd. make the investment? Why? Would this decision be consistent with that from B? Explain your reasoning. Suppose that, instead of paying the initial £500,000 now, Limitless Ltd. decides to pay it in equal instalments over the next 10 years. How much would the company need to pay each year to make all…Consider the following 2-period model U(C1,C2) = min{3C1,4C2} C1 + S = Y1 – T1 C2 = Y2 – T2 + (1+r)S Where C1 : first period consumption C2 : second period consumption S : first period saving Y1 = 20 : first period income T1 = 5 : first period lump-sum tax Y2 = 50 : second period income T2 = 10 : second period lump-sum tax r = 0.05 : real interest rate Find the optimal saving, S*
- firm decides to invest X units of capital in Project A and Yunits of labour in Project B. iv. The expected return for each unit of investment is $500 in Project A and $1500 in Project B. However in order to meet the expectations of the firm's ethical and environmental policy values of X and Y must satisfy the constraint x+y-5x-6y= 210. How many units of each type should firm buy in other to maximize total volume? What is the implication of a unit change in investment in capital and (or) Labour Economic Analysis?A consumer's income in the current period is y = 100 and income in the future period is y'= 120. He or she pays lump-sum taxes t=20 in the current period and t'= 10 in the future period. The real interest rate is 0.1, or 10%, per period. (a) Determine what the consumer's optimal current-period and future-period consump tions are, and what optimal saving is, and show this in a diagram with the consumer's budget constraint and indifference curves. Is the consumer a lender or a borrower? (b) Now suppose that instead of y = 100 the consumer has y = 140 Again, determine optimal consumption in the current and future periods and optimal saving, and show this in a dia gram. Is the consumer a lender or a borrower? (c) Explain the differences in your results be tween parts (a) and (b).Suppose that a consumer/investor has an initial endowment only for the current period, which is Eo =450. She may consume today or in the next period only (two-period model). The interest rate for borrowing and lending in the capital market is 5% (a)Depict the budget constraint for the investor in an inter-temporal consumption diagram! What is the maximum amount the consumer is able to consume in the next period? (b)The consumption preferences of the consumer/investor are best described by a square root function, defined over current and future consumption. What is his optimal consumption plan? Show your calculations! Depict the results in appropriate diagram. Which amount is invested in the capital market?
- a) Find the break-even income level of a family with a consumption function of C = 13000 + 5/6 Y, where C is the consumption and Y is the family income level. Also find the family saving at an income level of $81,000? b) A dairy cooperative sells its members butter at the constant price of $1.70 per pound. For a typical member, fixed costs are $6000 and production costs are $1.40 per pound (same as variable cost). Find the break-even quantity in pounds for a typical member. Please type out the correct answer with step by step proper explanation WITHIN 40 50 minutes. Will give you thumbs up only for the correct answer. Thank youa) Find the break-even income level of a family with a consumption function of C = 13000 + 5/6 Y, where C is the consumption and Y is the family income level. Also find the family saving at an income level of $81,000? b) A dairy cooperative sells its members butter at the constant price of $1.70 per pound. For a typical member, fixed costs are $6000 and production costs are $1.40 per pound (same as variable cost). Find the break-even quantity in pounds for a typical memberA decision maker allocates an endowment of W > 0 dollars across two periodst = 1, 2. He discounts the future by β ∈ (0, 1) while facing a gross interest rateof R > 1. His utility is the same as studied in class. Solve for the intertemporalchoice problem. Show that the optimal consumption is decreasing over time ifβR < 1, constant over time if βR = 1, and increasing over time if βR > 1.
- 14. To use the Net Present Value (NPV) method of capital budgeting, one could calculate the present value of all the future net cash flows of an investment discounted at its cost of capital, and then subtract which one of the following? OA. The salvage value OB. The present value of the salvage value OC. The initial cost of the investment OD. The initial cost of the investment less the present value of the salvage valueConsider an individual who lives for two periods and has utility of lifetime consumption U = log(C1) + 1/1+δ log(C2), where C1 and C2 are the consumption levels in the first and second period respectively, and δ, 0 1 > 0 in the first period and no income in the second period, so Y2 = 0. He can transfer some income to the second period at a before-tax rate of return of r, so saving $S in the first period gives $[1 + r]S in the second period. The government levies a capital tax at rate τ on capital income received in the second period. The tax proceeds are paid as a lump-sum transfer to the following generation. The present generation does not care about the next one. a. What is the lifetime consumption profile of this individual? What is his lifetime indirect utility function expressed as a function of Y1 and b. Evaluate the change in initial income Y1 that is required to compensate the individual for the welfare loss due to the capital income tax τ. c. What is…John and Peter are two representative consumers/investors who maximize the utility of consumption. John's utility of consumption is characterized as ln(x) + 2ln(y) while Peter puts more weight on the current consumption level and has a utility function of 2ln(x) + ln(y). John has a wealth of ($10, $20) thousand, while Peter has a wealth of ($20, $15) thousand now and next year, respectively. (a) What are the optimal consumption plans forJohn and Peter,respectively,if the interest rate is 5% per annum? (b) If John and Peter are the only investors/consumers, what is the equilibrium interest rate? (c) Further to part (b), how much do they borrow or lend to each other?