Economics : Micro 4
4th Edition
ISBN: 9781305436855
Author: MCEACHERN
Publisher: CENGAGE L
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Chapter 1, Problem 4.7PA
To determine
a)
The mistake in the statement that, Government revenues will always increase with an increase in the taxes.
Concept introduction:
When one variable varies systematically with another variable.
Capacity of one variable to influence other.
Period of economic decline with low production and demand.
To determine
b)
The mistake in the statement that, we should increase the imports in case of recession.
Concept introduction:
When one variable varies systematically with another variable.
Capacity of one variable to influence other.
Period of economic decline with low production and demand.
To determine
c)
The mistake in the statement that, US steel industry and the entire economy is helped by increasing the tariff on imported steel.
Concept introduction:
When one variable varies systematically with another variable.
Capacity of one variable to influence other.
Period of economic decline with low production and demand.
To determine
d)
The mistake in the statement; to reduce the national debt, US government can sell the gold in Fort Knox at $1200 per ounce.
Concept introduction:
When one variable varies systematically with another variable.
Capacity of one variable to influence other.
Period of economic decline with low production and demand.
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2. A firm’s production function is given by:Q = 10KLThe unit capital and labour costs are 2 and 1 pounds respectively. The firm is contracted to produce2000 units.(a) Write out the optimisation problem of the firm. (b) Express this problem using a Lagrangian function. (c) Find values of K and L which fulfil the contract with minimal cost to the firm. (d) Calculate the total cost to the firm.
3. Consider the following estimated regression equation, estimated using a sample of firms, where RDis total firm spending on research and development in USD ($), Revenue is total firm revenuein USD ($), and W ages is the firms’ total spending on wages in USD ($) (standard errors inparentheses):RDd = 1000(600)+ 0.5(0.1)Revenue + 1.5(0.5)W ages,(a) Interpret the coefficients on each of the explanatory variables. (b) Which of the three coefficients are statistically significant at the 5% level of significance? Howdo you know? A researcher runs a two-sided statistical test of the null hypothesis that both the coefficients onthe explanatory variables above are jointly equal to 0.25 (mathematically, that β1 = β2 = 0.25),and reports a p-value of 0.045.(c) What does this p-value mean for the outcome of the test? (d) What would an appropriate two-sided alternative hypothesis look like?
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