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A firm faces the demand curve, P = 80 - 3Q, and has the cost equation C = 200 + 20Q.
a. find the optimal quantity and the price for the firm.
b. Now suppose that demand changes to P = 110 - 3Q. Find the new optimal price and quantity. Has there been an increase or decrease in demand. Explain.
Elaine as senior partner can make a take-it-or-leave it offer to her junior partner John to undertake a project and split the profits of $10,000. She considers just two offers: an 80-20 split (favoring Elaine), or a 50-50 split.
Tom is a utility maximizer with an income of $200/week, which he spends on two goods, food and clothing. The unit prices of food and clothing are $3 and $20 respectively. 1.) Draw a graph that shows Tom's choice using an indifference curve and his..
Suppose that you have just been employed as a consultant to help a company decide which of 3-options to take to maximize the value of the company over the next three years.
According to the chief engineer at the Zodiac Company, Q = ALf Kf , where Q is the output rate, L is the rate of labor input, and K is the rate of capital input. Statistical analysis indicates that f = 0.8 and f = 0.3. The firm's owner claims the ..
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 ..
Industry A is composed of five large firms and 100 small firms. The market shares of the five largest firms are, respectively, 30, 25, 20, 15, and 10. The 100 small firms together have the remaining market share. Calculate the Herfindahl-Hirshman ..
Assume Wilbur's utility function is U=(x1)*(x2)*(x3). Further assume that the law dictates that Wilbur consume two units of X1 for every unit of X2. Determine Wilbur's demand function for good 1. Explain, in words, all the steps in your deriv..
Suppose that some variable is growing at constant rate. a. Prove that the natural logarithm of that variable is a linea r function of time. b. Find the intercept and slope of the linear function in part a.
Recent increases in rents have caused the citizens of Elmville to vote for a rent ceiling of $1200. Assuming all rental units in Elmville are identical and the supply and demand for rental units are given by Qs = -1000 + 20P Qd = 50000 - 10P
Suppose instead that the goverment wished to raise GDP to 7,100, but it was unwilling to run a surplus or deficit. Therefore the change in government purchases would have to be matched by and equal change in taxes. What change in government purcha..
A pump has faild in a facility that will be completely replaced in 3 years. A brass pump costing $6000 installed will last 3 years. However, a used staniless steel pump that should last 3 more years has been sitting in the maintenance shope for a ..
The launch is risky because the demand could turn out to be either low or high. If the demand is high, the investment would give a return of $30 million, and if the demand is low, the return would be 0.
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