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Assume that the relationship between the growth of a fish population and the population size can be expressed as g = 4P - 0.1P2, where g is the growth in tons and P is the size of the population (in thousands of tons). Given a price of $100 a ton, the marginal benefit of smaller population sizes (and hence larger catches) can be computed as 20P - 400.
(a) Compute the population size that is compatible with the maximum sustainable yield. What would be the size of the annual catch if the population were to be sustained at this level?
(b) If the marginal cost of additional catches (expressed in terms of the population size) is MC = 2(160 - P), what is the population size that is compatible with the efficient sustainable yield?
In a study of the income of U.S factory workers, a random sample of 125 workers shows a sample mean of $29,000. Assume that the population standard deviation is $4,500.
Real GDP was $4,179 billion in year 1 and $4,848 billion in year 2. IN contrast, real GDP per capita in Year 1 was $19,261, but in year two it was only $19,162. Why did one measure increase while the other measure decreased
The Crockett Land Winery must replace its present grape-pressing equipment. The two alternatives are the Quik-Skwish and the Stomp-Master. The annual operating costs increase by 12% each year as the machines age. If the interest rate is 9%, which ..
Industry X is perfectly competitive and each firm produces output with a technology Q = C ½ L ½, where C is coal and L is labor. The demand for industry X's output is Q = 10,000 - 2P, and the firms in industry X can purchase coal at a cost
A new machine is to be purchased for $150,000. The company believes it will generate $60,000 annually in revenue due to the purchase of this machine. The company will have to train an operator to run this machine.
He has been offered a job at a large textile plant where he can make $20 per hour, but this would force him to close his business. His brother-in-law is a stock broker and tells him that he can get him a guaranteed 5% return on any money he choose..
State the effect on sample size of an increase in each of the following factors, assuming all other factors are held constant:
Commuters from the West Bank, across from New Orleans, are identical. They have two routes from the West Bank to Uptown, either over the Crescent City Connection (C) or over the Huey P. Long Bridge (H).
consider a modified scenario where a potential worker invests in years of education. Each year of education costs a motivated worker $10,000 in terms of disutility and an unmotivated worker $20,000 in terms of disutility.
a broadcasting executive is reviewing the prospects for a new television series,according to her judement , the probability is 0.25 that the show will achieve a rating higher than 17.8, and the probability is 0.15
What was the motivation behind the attack?
Assume that nominal income is $35,000 and the price index is 1.20 in year 1. In year 2, nominal income rises to $38,000 and the price index rises to 1.25. What was the percentage change in real income from year 1 to year 2? Make your calculations ..
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