ECONOMICS:PRIN.+POLICY-MINDTAP (1 TERM)
ECONOMICS:PRIN.+POLICY-MINDTAP (1 TERM)
14th Edition
ISBN: 9781337912396
Author: Baumol
Publisher: CENGAGE L
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Chapter 10, Problem 1DQ
To determine

Output determination under perfect competition.

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Explanation of Solution

A perfectly competitive firm can sell as much as it desires at the current market price. The profit maximizing output of a firm is fixed at the point where, MC = MR. The marginal revenue of a perfectly competitive firm is constant at each units of output while, the marginal costs increases as production increases. Therefore, the expansion of sale after when, the MC and MR (price) are equal would make loss.

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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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