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)

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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.
Transcribed Image Text: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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