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Assume that an individual consumes two goods, X and Y. The total utility of each good is independent of the rate of consumption of the other good. The price of X and Y are $40 and $60 respectively. Use the following table of total utilities to answer the following questions. Good Total Utility of X Total Utility of Y 1 20 45 2 38 78 3 54 108 4 68 135 5 80 159 6 90 180
a. The marginal utility of the fourth unit of Y is __________.
b. The marginal utility of the fifth unit of X is ___________.
c. The marginal utility per dollar spent on the third unit of X is __________.
d. The marginal utility per dollar spent on the second unit of Y is __________.
e. If the consumer has $420 to spend, ______ unit of X and _______ units of Y maximize utility subject to the budget constraint. Explain.
f. If the consumer has $220 to spend, _______ units of X and _______ units of Y maximize utility subject to the budget constraint.
Cash flow estimates for a process upgrade are as follows: first cost of $40,000, annual cost of $6,000 per year, market value that decreases by $2,000 per year to the salvage value of $20,000 after the expected life of 10 years. Calculate the annu..
The manufacture has determined that men value a simple microwave at $70 and one with auto-defrost at $80 while women value a simple microwave at $80 and one with auto-defrost at $150. If there is an equal number of men and women, what pricing str..
Suppose the demand for a product is given by P = 50 - Q. Also, the supply is given by P = 10 + 3Q. If a $12 per unit excise tax is levied on the buyers of a good, after the tax,what is the total quantity of the good sold.
The Manchester Athlete's Club (MAC) is a private, not-for-profit athletic club located in St. Petersburg, Florida. MAC currently has 3,500 members but is planning on a membership drive to increase this number significantly. An important issue faci..
Assume the following about Mushroom Kingdom: there are 16869 gold coins in circulation, nominal GDP is 86722 gold coins, the Central Bank of Mushroom Kingdom increases the number of gold coins in circulation by 2.4% each year, and GDP increases by..
Calculate the predicted probabilities and verify that all the ?tted values are between 0 and 1. What is the smallest value you observe? And the largest?
A firm produces a product with a fully allocated average cost equal to $20. If the price elasticity of demand for the product is -5,what should the product price be set at
Tennessee just instituted a state lottery. The initial jackpot is $100,000. If the first week yields no winners, the next week's jackpot goes up, depending on the numbers of previous players who placed the lottery bets
Assume a normal random variable x, with mean 100 and standard deviation 20. a. Find the probability that a randomly chosen value of x is less than 95. b. Find the probability that a randomly chosen value of x is between 60 and 100. c. Find the 95th p..
A product comes with a 3-year warranty. Repair costs are expected to average $3500 per year, beginning in year 4. The interest rate is 10%. Determine the present worth of the crane's repair costs over its 15-year life.
A Taiwan electronics corporation exports personal computers to the United States Their PC sales over the past five years are following:
Assume that the firm's marginal cost is given by MC = 0.2q + 3. What is the level of output q that maximizes profit? b) Assume the total cost is given by TC = 0.1q^2 + 3q + 10. Calculate the firm's profit. c) Graph these results and label firm's s..
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