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To demonstrate that a utility function that is a monotonic transformation of another utility function gives that same first-order conditions and hence the same demand functions, multiply the utility function U = U(X,Y) by a constant, k, and show that the two yield the same first order conditons.
A gradient series is deposited for 15 years in an interest bearing account. The first deposit is $15,000, the annual gradient factor is $1,000. At the end of the 16th year, withdrawals from the account begin with a first sum of $50,000.
Consider the market for rainbow sandals. Suppose average household income increases from $44,000 per year to $61,000 per year. As a result, the demand for rainbow sandals increases from 427 to 535.
Suppose that fixed costs increase by $50 but the prevailing market price remains unchanged. Using algebra determine the effects of this change in cost on the profit maximizing output and the optimal profit. Do you see any change from your answer t..
The energy Department estimates that domestic demand for natural gas will grow by more than 40 percent between now and 2025. Distinguish between a demand function and a demand curve.
Sales have grown over this period with relatively few shocks due to uncontrollable weather, political and sporting events. This online retailer carries no inventories; when it receives a pre-paid on-line order from a customer.
china ia a major producer of grains, like wheat, corn, and rice. In 2008 the chinese gov. concerned that grain exports were driving up food costs for domestic consumers, imposed a tax on grain exports. a)Draw the graph that describes the market for..
Consider the simple linear regression model without an intercept, y = ß1x + u, with the assumption E(u|x)=0. Also assume that E(x)=0 Show that E(y)=0 and using this as well as E(x)=0 show that the covariance between x and y is given by E(xy) and that..
Adding to table 11.1, if read GDP in 2002 were $10,048.8 billion and nominal GDP in 2002 were $10,469.6 billion, calculate the percentage change from 2001 to 2002 in nominal GDP, real GDP, and price level. What is the value of the GDP deflator in ..
Recently, a university surveyed recent graduates of the English Department for their starting salaries. Four hundred graduates returned the survey. The average salary was $25,000 with a standard deviation of $2,500. What is the best point estimate..
A profit-maximizing firm is producing where MR=MC and has an average total cost of $4, but it gets a price of $3 for each good it sells. b) What would you advise the firm to do if you knew the average variable costs where $3.50
R&D planning. A firm is in the process of assessing the economic prospects for a new bottling machine it is developing. Future research and development expenses could range from $4 to $9 million, with a most likley value around 7$ million.
Tony owns a fancy Italian restaurant, Tony's Trattoria. He uses only the finest ingredients and hires the best chefs in the country. Suppose Tony's total cost function is given by the following relationship: TC =100 +10Q +Q^2 , where Q is the numb..
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