Macroeconomics
Macroeconomics
4th Edition
ISBN: 9781464110375
Author: Paul Krugman, Robin Wells
Publisher: Worth Publishers
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Chapter 4, Problem 8P
To determine

Concept Introduction:

Price Control: They are some types of restrictions on the range of price in the market which are generally imposed by the government to protect the interest of consumers and producers. They are generally of two forms:

Price Floor: When the government limits the minimum price, which can be charged from consumers then it is referred as a price ceiling. It may be binding or non-binding. When the minimum price is above market equilibrium price then it is binding. If the maximum price is below the market equilibrium price, then it is non-binding.

Demand price: It is defined as the price at which consumer will demand the given quantity of the good.

Supply price: It is defined as the price at which producer will supply the given quantity of the good.

Quota: It is the limit on the supply of goods in the economy. Due to quota, there is the difference between the price received by producer and given by consumer known as a wedge.

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Please answer questions D-H, I have already answered A , B,C but it may help you to still solve them yourself. Thank you!
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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