The Productivity of a Certain Country Is P(x, Y) = $x ^ { 1 / 4 }$

question 110

Multiple Choice

The productivity of a certain country is P(x, y) = 1600 $x ^ { 1 / 4 }$ $y ^ { 3 / 4 }$ units, where x and y are the amounts of labor and capital utilized. What is the marginal productivity of capital when x = 16 and y = 625?

• A) 1600
• B) 5000
• C) 480
• D) 2500
• E) none of these

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Definitions:

Time Value of Money

A financial principle that posits money available now is worth more than the same amount in the future due to its potential earning capacity.

Hurdle Rate

A financial metric indicating the minimum return on investment required for a project or investment to be considered acceptable.

Internal Rate of Return

A financial metric used to estimate the profitability of potential investments, calculating the discount rate that makes the net present value of all cash flows from the investment equal to zero.

Present Value

The present value of a future amount of money or a series of cash flows, calculated using a given interest rate.