A certain production process employs two inputs--labor (L) and raw materials (R). Output (Q) is a function of these two inputs and is given by the followingrelationship:Q = 6L² R? – .10L³ R³Assume that raw materials (input R) are fixed at 10 units.(a)Determine the total product function (TPL) for input L.Determine the marginal product function for input L.(b)(c)Determine the average product function for input L.(d)Find the number of units of input L that maximizes the total productfunction.(e)Find the number of units of input L that maximizes the marginal productfunction.Find the number of units of input L that maximizes the average product(f)function.(g)Determine the boundaries for the three stages of production.

Given Production function: Q=6L2R2-10L3R3 .......... (1) The raw material is fixed at 10…

A certain production process employs two inputs--labor (L) and raw materials (R). Output (Q) is a function of these two inputs and is given by the following elationship: Q- 6L? R? - .10L R³ Assume that raw materials (input R) are fixed at 10 units. Determine the total product function (TPL) for input L. (a) (b) Determine the marginal product function for input L. Determine the average product function for input L. (c)

A certain production process employs two inputs--labor (L) and raw materials (R). Output (Q) is a function of these two inputs and is given by the following elationship: Q- 6L? R? - .10L R³ Assume that raw materials (input R) are fixed at 10 units. Determine the total product function (TPL) for input L. (a) (b) Determine the marginal product function for input L. Determine the average product function for input L. (c)

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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Question

A certain production process employs two inputs--labor (L) and raw materials (R). Output (Q) is a function of these two inputs and is given by the following
relationship:
Q = 6L² R? – .10L³ R³
Assume that raw materials (input R) are fixed at 10 units.
(a)
Determine the total product function (TPL) for input L.
Determine the marginal product function for input L.
(b)
(c)
Determine the average product function for input L.
(d)
Find the number of units of input L that maximizes the total product
function.
(e)
Find the number of units of input L that maximizes the marginal product
function.
Find the number of units of input L that maximizes the average product
(f)
function.
(g)
Determine the boundaries for the three stages of production.

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