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Because people dislike commuting to work, homes closer to employment centers tend to be more expensive. The price of a home in a given employment center is $60 per day. The daily rental price for housing drops by $2.50 per mile for each mile farther from the employment center. The price of gasoline per mile of the commute is pg (which is less than $2.50). Thus the net cost of traveling an extra mile to work is pg - 2.5. Lan chooses the distance she lives from the job center, D (where D is at most 50 miles) and all other goods. The price of A is $1 per unit. Lan's utility function is U = (50 - D)0.5A0.5, and her income is Y, which for technical reasons is between $60 and $110.Is D an economic bad (the opposite of a good)?b. Draw Lan's budget constraint.c. Derive Lan's demand functions for A and D: The graph.c. Derive Lan's demand functions for A and D: The Lagrange method.d. Show that as the price of gasoline increases, Lan chooses to live closer to the employment center.e. Show that as Lan's income increases, she chooses to live closer to the employment center. Reportedly, increases in gasoline prices hit the poor especially hard because they live farther from their jobs, consume more gasoline in commuting, and spend a greater fraction of their income on gasoline ("For Many Low-Income Workers, High Gasoline Prices Take a Toll," Wall Street Journal, July 12, 2004, A1). Demonstrate that as Lan's income decreases, she spends more per day on gasoline.That is show that ? D*/Y < 0.
An upstart phone company has only two potential large customers, Firm A and Firm B. Firm As monthly demand for phone calls is Q1 = 2; 800 - 200p and Firm 2s is Q2 = 5; 000 - 100p. The marginal cost of providing a phone call is 6 cents.
You are planning to purchase your first home five years from today. the required down payment qill be $50,000. you currently have $20,000, but you plan to contribute $500 each quarter to a special savings account until you purchase the home.
Suppose that an investor has a choice between buying this security or purchasing a different security that also costs $3,000 today but pays off $3,300 with certainty in one year. How is an investor's choice of which security to purchase related to..
the general price inflation in our economy, the purchasing power of the dollar shrinks with the passage of time. If the average general inflation rate is expected to be 7% per year for the foreseeable future, how many years will it take for the do..
If Mr. Lee decides to take the job, he knows that he can sell the store for $350,000 because of the goodwill built with a steady clientele of neighborhood customers and the excellent location of the building. He would still hold on to the building..
Assume you have the following model of the expenditure sector: Sp = C + I + G + NX C = 400 + (0.8)YD Io = 200 G = 300 + (0.1)(Y* - Y) YD = Y - TA + TR NXo = - 40 TA = (0.25)Y TRo = 50 What is the size of the output gap if potential ou..
A successful engineer wants to fund an endowment for a university which will pay $10,000, $15,000, $20,000, and $25,000 for the 1st, 2nd, 3rd, and 4th quarters respectively, each year, forever. For an interest rate of 8% compounded quarterly
Year price quantity demanded Real Income Price of Substitute 1 .95 200 11000 .65 2 1.10 180 11000 .65 3 1.10 190 11500 .65 4 1.10 200 11500 .90 5 1.10 170 11500 .90 6 .99 190 11500 .90 7 .99 175 10500 .90 8 .99 150 10500 .62
Currency held by the public is 1000 sheckels, bank reserves are 200 sheckels, and the desired reserve-deposit ratio is 0.2. What is the money supply How is the money supply affected if the central bank prints 100 sheckels
The inverse market demand in a homogenous-product Cournot duopoly is P = 100 - 2(Q1 + Q2) and costs are C1(Q1) = 12Q1 and C2(Q2) = 20Q2. a. Determine the reaction function for each firm. b. Calculate each firm's equilibrium output.
A perfectly competitive firm faces a market price of $10 for its output X. It owns two plants A and B whose total costs are: TCA = 10 + 2X + .25X2 TCB = 15 + .4X + .1X2 = 15 +4 + 10 How many units should each plant produce to maximize profit at that ..
A ride is built and Revenue is projected to be $1 million initially (i.e., at time 0), $1.05 million after the first month, $1.1025 million after the second month, and amounts increasing by 5% each month through the first year.
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