Reference no: EM131209152
Problem 1: Given the following total revenue (TR) and total cost (TC) functions, find the quantity of output (Q) that would maximize profit (π). Note that profit function is: π = TR - TC. TR = 1400Q - 7.5Q2 TC = Q3 - 6Q2 + 140Q + 750
Problem 2: Prove that marginal cost (MC) must equal marginal revenue (MR) at the profitmaiming level of output. Note: TC dQ d MC and TR dQ d MR . Hint: π = TR - TC.
Problem 3: Find the marginal cost (MC) for the following average cost function (AVC): AVC = 1.5Q + 4 + 46/Q. Hint: TC=AVC*Q.
Problem 4: An isoquant depicts different combinations of inputs K (Capital) and L (Labor) that can be used to produce a specific level of output Q. One such isoquant for the output level Q = 2,144 is 2144 = 16 K1/4 L3/4 Using implicit differentiation find the slope of the isoquant dK/dL which is called Marginal Rate of Technical Substitution (MRTS) and evaluate MRTS at K = 256 and L = 108.
Problem 5: A firm producing two good x and y has the profit function: π =64x - 2x2 + 4xy - 4y2 + 32y - 14 Find the profit-maximizing level of output for each of the two goods (x and y).
Problem 6: Given a three-sector income determination model in which Y = C + I0 + G0 T = T0 + t*Y C = C0 + b*YdYd = Y - T Where: I0, G0, T0, C0 > 0 and 0 < b, t < 1
Determine the magnitude and direction of a 1-unit change in government expenditure (G0), lump-sum taxation (T0), and the tax rate (t) on the equilibrium level of income (Y).
Problem 7: Given Q = 700 - 2P + 0.02Y, where P=25 and Y = 5000. Find the price elasticity of demand (dQ/dP) and the income elasticity of demand (dQ/dY).
Problem 8: Given Q = 10 K0.4 L0.6, find the marginal productivity of capital (dQ/dK)and marginal productivity of labor (dQ/dL) and determine the effect of on output of an additional unit of both capital and labor at K = 8, L= 20.
Problem 9: Using the following table, calculate the average annual growth rate of real GDP for US and India between 1990 and 2010. Assume similar growth rates are forecasted for the foreseeable future for both US and India. Will India's economy ever be larger than that of the US? If yes, estimate the year at which India's GDP will overtake that of the US. Real GDP (2005 Billion $) 1990 2010 India 350.24 1,246.91 United States 8,228.92 13,595.64
Explain the benefits and the challenges of this approach
: Discuss how instant messaging and videoconferencing influences communications components as illustrated in the transactional model on page 104 of your textbook.
|
Company selection and initial research
: You own a jewelry store and you sell nothing but black diamond rings. As of January 1st, you had 10 rings in stock at a cost of $1,000 each. You sold 60 rings during the year. You made several purchases over the fiscal year, which ended on Decembe..
|
How is fraud committed on behalf of an organization
: How is fraud committed on behalf of an organization (such as financial statement fraud) different from fraud committed against an organization (such as embezzlement)?
|
How aggressively should tjx expand globally
: How aggressively should TJX expand globally, and where, and when, to maximize the value of the company for shareholders
|
Find the profit-maximizing level of output
: Given the following total revenue (TR) and total cost (TC) functions, find the quantity of output (Q) that would maximize profit (π) - Determine the magnitude and direction of a 1-unit change in government expenditure (G0), lump-sum taxation (T0), ..
|
What is the annual yield on bond
: 1. Suppose you are considering investing in a zero coupon Brazilian bond that costs $800 and matures in 10 years at which point the bond will be worth $1,000. Assuming annual compounding, what is the annual yield (in percent) on this bond?
|
Explain how can this information help you communicate
: Explain your reasoning. Of all the articles you found on the Web site for the World Advertising Research Centre (WARC) at http://www.warc.com/, determine which was the most applicable. Explain your rationale. Explain how can this information help ..
|
Prepare a performance report using spreadsheet software
: Prepare a performance report using spreadsheet software, such as Excel. Hint: Read the Weekly Briefing and watch the Performance Report video on this topic.
|
Prepare a report on an enterprise architecture for tcrp in
: Prepare a report on an Enterprise Architecture for TCRP in 5000 Words.
|