Explore BrainMass
Share

# Calculate inputs, calculate labor, production functions

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

1. Could the isoquants corresponding to two different levels of output ever cross? Explain.

2. A firm uses the inputs of fertilizer, labor, and hothouses to produce roses. Suppose that when the quantity of labor and hothouses is fixed, the relationship between the quantity of fertilizer and the number of roses produced is given by the following table:
(attached)

a) What is the average product of fertilizer when 4 tons are used?
b) What is the marginal product of the sixth ton of fertilizer?
c) Does this total production function exhibit diminishing marginal returns? If so, over what quantities of fertilizer do they occur?

5. Suppose that a firm's production function is given by Q = KL + K, with MP_x = L + 1 and MP_L = K . At point A, the firm uses K = 3 units of capital and L = 5 units of labor. At point B, along the same isoquant, the firm would only use 1 unit of capital.

a) Calculate how much labor is required at point B.
b) Calculate the Marginal rate of technical substitution (MRTS) at point A and B respectively.

6. For the production function Q = 6L^2 — L^3, fill in the following table and state how much the firm should produce so that:
a) average product is maximized
b) marginal product is maximized
c) total product is maximized
d) average product is zero

https://brainmass.com/economics/production/calculate-inputs-calculate-labor-production-functions-532519

#### Solution Preview

See attachment for graphs