A firm's short-run production function is q = 3L0.2, while its cost function is C = 2L. Furthermore, the firm can sell its output in a perfectly competitive market at p = 40. 6.1 Find the value of the firm's profit when L = 50. L that satisfies the first-order condition for profit 6.2 Calculate the level of maximization. 6.3 Calculate the value of the second order derivative (SOD) that ensures profit is being maximised at the value of L found in 6.2 .

A firm's short-run production function is q = 3L0.2, while its cost function is C = 2L. Furthermore, the firm can sell its output in a perfectly competitive market at p = 40. 6.1 Find the value of the firm's profit when L = 50. L that satisfies the first-order condition for profit 6.2 Calculate the level of maximization. 6.3 Calculate the value of the second order derivative (SOD) that ensures profit is being maximised at the value of L found in 6.2 .

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Concept explainers

Short-Run Costs and Long-Run Costs

Cost of short-run and the long-run is an economic term that describes the cost involved in the production of goods in a firm in the short as well as long period.

Question

A firm's short-run production function
is q = 3L0.2, while its cost function is C = 2L.
Furthermore, the firm can sell its
output in a perfectly competitive market at p
= 40.
6.1 Find the value of the firm's profit
when L = 50.
L that
satisfies the first-order condition for profit
6.2 Calculate the level of
maximization.
6.3 Calculate the value of the second
order derivative (SOD) that ensures profit is
being
maximised at the value of L found
in 6.2 .

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