4 Suppose that the inverse demand and supply functions are p = 200- x² and p = x² + 38, respectively (where x is quantity and p is price). Using integral, determine the consumer, producer and social surplus.
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- Economics Assume will get 20 rental payments paid over 20 years at the beginning of each year. Initially, the rent equals R=$12; but it will grow at a rate of 1% per year. The NPV of this income stream equals $170.20. What is your discount rate? Provide your answer as percentage with two decimals, e.g., 1.23% (or 0.0123) youQuestion 5 A function g(z) is strictly increasing if g'(z) > 0 on its domain. Assume the supply and demand functions for a high-tech product are Qs = S(P), Qp = D(P +T,Y), %3D where Y is the income, T is the consumption tax on the product, and P is the price. We don't specify a particular analytical form of the supply and demand functions, but we assume that both functions are well defined on their domains and their derivatives exist. We also assume that S'(P) > 0 on its domain, and that D(Z,Y) > 0, D(Z,Y) < 0, and az where Z = P+T. Assume an equilibrium state exists in the sense that the supply and demand are balanced: S(P) – D(P +T,Y) = 0. (1) Assume Pis a function of Y. Is price (P) an increasing or decreasing function of income (Y)? Show your working steps to support your answer. (2) Assume Pis a function of T. Is price (P) an increasing or decreasing function of tax (T)? Show your working steps to support your answer.economic Announcing in his Budget 2023 speech on Tuesday, Deputy Prime Minister and Finance Minister Lawrence Wong said cars with an OMV (the approximate cost of a car before taxes) higher than $80,000 will incur an additional registration fee (ARF, or the main car tax) of 320 per cent. The changes will take effect from the next round of certificate of entitlement (COE) bidding, which closes on Feb 22. Mr Wong said these changes are expected to affect the top one-third Do more research and apply what we have learned in “Demand & Supply”, “Elasticity” and “Taxation” to answer the following questions. 1. How does the ARF hike impact the luxury car market? Discuss the impact on the price and quantity of luxury cars (Use Demand and Supply graph to interpret your answer). 2. Mr Wong said the ARF hike was expected to affect the top one-third of cars and would generate about $200 million in additional revenue a year. Do you agree with his opinion? Apply the concept of elasticity to…
- Imagine you are the owner of a downtown Laredo building that you lease out for a yearly amount of $ 45,000 over a span of five years. Assume that the explicit expenses for maintaining the building are $ 20,000, and an additional implicit cost of $15,000 exists. All earnings and costs occur at the conclusion of each year. Suppose the interest rate is 7.5 percent, Determine the present value for both the stream of: (i) your accounting profits. Show your steps. (ii) economic profits. Show your stepsUsing the following data, calculate the equilibrium interest rate Y=7,000G=4000T=2,000C=150+0.75(Y-T)I=1,000-50rPublic Savings = -2000Private savings = 1100National Savings = -900Paolo lives in New York City and runs a business that sells boats. In an average year, he receives $723,000 in revenue from selling boats. Of this sales revenue, he must pay the manufacturer a wholesale cost of $423.000; he also pays wages and utility bills totaling $267.000. He owns his showroom; if he chooses to rent it out, he will receive $2.000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Paolo does not operate this boat business, he can work as a financial advisor and receive an annual salary of $20,000 with no additional monetary costs. No other costs are incurred in running this boat business. Identify each of Paolo's costs in the following table as either an implicit cost or an explicit cost of selling boats. Implicit Cost Explicit Cost The rental income Paolo could receive if he chose to rent out his showroom The wholesale cost for the boats that Paolo pays the manufacturer The salary Paolo could earn if he worked as a…
- Assume r = 0.1 is the present real interest rate and this rate is expected to prevail for the next 2 years. The monetary return (i.e. marginal revenue product) on machine A is expected to be R1 = $100,000 for year 1 and R2 = $50,000 for year 2. The present discounted value (PDV) of the net revenue flow from machine A to its owner is equal to ???Please help me!! Qx=1.0-2.0Px+1.5I+0.8Py-3.0Pm+1.0A Where Qx= sales of CFC cornflakes, in millions of 10-ounce boxex per year Px= the price of CFC cornflakes, in dollars per 10-ounce box I= personal disposable income, in trillions of dollars per year Py= price of competitive brand of cornflakes, in dollars per 10-ounce box Pm= price of milk, in dollars per quart A= adveritising expenditures of CFC cornflakes,in hundreds of thousands of dollars per year This year, Px=$2, I=$4, Py=$2.50 , Pm=$1, A=$2 Questions c) Estimate the level of sales next year if CFC reduces Px by 10 percent and increases advertising by 20 percent, Income rises by 5 percent, Py is reduced by 10 percent, and Pm remains unchanged. (d) By how much should CFC change its adveritsing if it wants its sales to be 30 percent higher than this year?Bob lives in Toronto and runs a business that sells guitars. In an average year, he receives $701,000 from selling guitars. Of this sales revenue, he must pay the manufacturer a wholesale cost of $420,000; he also pays wages and utility bills totalling $247,000. He owns his show room; if he chooses to rent it out, he will receive $9,000 in rent per year. Assume that the value of this show room does not depreciate over the year. Also, if Bob does not operate this guitar business, he can work as a financial advisor, receive an annual salary of $32,000 with no additional monetary costs, and rent out his show room at the $9,000 per year rate. No other costs are incurred in running this guitar business.
- If Peregrine consumes(1,500,880)and earns(1,300,1,100)and if the interest rate is10%, the present value of his endowment isSuppose the market value of a growing tree at time t is a function f(t, x), where a is expenditure on tree trimming at t = 0. (Think of a as an investment at t=0 that generates a return in the form of increased tree growth.) Assuming continuous compounding of the interest rater, the present discounted value of profit earned from harvest (or sale) of the tree at time t is V(t, x) = f(t, x)et - x. a. What are the first-order conditions for V(t, x) to have a maximum at t* > 0 and > 0? b. What are the first-order conditions if f(t, x) takes the separable form f(t, x) = g(t)h(x), with g(t) > 0 andh(x) > 0? c. In the separable case, show that g/(t*) < r²g(t*) and h(*) < 0 are sufficient conditions for a critical point (t*, *) to be a local maximum point for V. d. Find t* and ** when g(t) = evt and h(x) = ln(x + 1), and check the local second-order conditions. Please do fast ASAP fastAssume that you are employed by the government of Tanzania in 1964, a new nation recently independent from Britain. The Tanzanian parliament has decided that it will spend 10 million shillings on schools, roads, and healthcare for the year. You estimate that the net taxes for the year are eight million shillings. The difference will be financed by selling 10-year government bonds at 12% interest per year. The interest on outstanding bonds must be added to government expenditure each year. Assume that additional taxes are added to finance this increase in government expenditure so the gap between government spending is always two million. If the school, road, and healthcare budget are unchanged, compute the value of the accumulated debt in 10 years.