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A competitive firm uses a single input x to produce its output y. The firm's production function is given by y = x3/2 for quantities of x between 0 and 4. For quantities of a greater than 4, the firm's output is y = 4 + x. If the price of the output y is $1 and the price of the input x is $3, how much x should the firm use to maximize its profit?
The 1-year interest rate in the U.S. is 10%; in Switzerland it is 12%. The current spot rate (dollars per franc) is $0.40. a. What do you expect the 1-year forward rate to be b. Is the franc selling at a premium or discount
A man borrows $120,000 to buy a home. The interest rate is 4.5%, compounded monthly, and its period is 30 years. a) What will be the monthly payment (equal payments) for the life of the loan
Total Total Average Fixed Variable Total Total Marginal Quantity Cost Cost Cost Cost Cost 0 $40 0 40 X X 1 40 55 95 95 55 2 40 75 115 57.50 20 3 40 90 130 43.33 15 4 40 110 150 37.50 20 5 40 135 175 35 25 6 40 170 210 35 357 40 220 260 37.14 50 8 40 ..
The only video rental club available to you charges $4 per movie per day. If your demand curve for movie rentals is given by P=20-2Q, where P is the rental price ($/day) and Q is the quantity demanded (movies per year)
What Gimbo most enjoys for dinner is eating fig leafs (F) and to accompany his meal with nothing better than an Arak (A) drink on the rocks. His utility function is represented by this equation : U=33(F)(A^2). Gimbo has $100 to spend on dinner dur..
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.
A heat exchanger is being installed as part of a plant modernization program. It costs $80,000, including installation, and is expected to reduce the overall plant fuel cost by $20,000 per year. Estimates of the useful life of the heat exchanger r..
Suppose that the residents of Vegopia spend all of their income on cauliflower, broccoli, and carrots. In 2008, they buy 100 heads of cauliflower for $200, 50 bunches of broccoli for $100, and 500 carrots for $50. In 2009, they buy 75 heads of cau..
Suppose the own price elasticity of market demand for retail gasoline is -0.8, the Rothschild index is 0.7, and a typical gasoline retailer enjoys sales of $1,900,000 annually. What is the price elasticity of demand for a representative gasoline r..
What sample size would be needed to estimate the true proportion of students at your college (if you are a student) who are wearing backpacks, with 95 percent confidence and an error of ± 0.04
An office manager is concerned with declining productivity. Despite the fact that she regularly monitors her clerical staff four times each day (9am, 11am, 1pm and 3pm) office productivity has declined 30% since she assumed the helm one year ago.
Point A 4m barrels oil 200 tonnes lumber Point B 6m barrels oil 150 tonnes lumber a) If we had a PPF with the goods oil and lumber, how would be measure the MC of oil between points A and B
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