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How many independent variables are there in a general utility function of the form U=h(x,y)Question 3Select one:a.3b.4c.2d.1

Question

How many independent variables are there in a general utility function of the form U=h(x,y)?

Select one:

  • a. 3
  • b. 4
  • c. 2
  • d. 1
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Solution

Break Down the Problem

  1. Identify the variables in the utility function: The utility function provided is of the form U=h(x,y) U = h(x, y) , where h h is a function of x x and y y .

Relevant Concepts

  1. Understanding independent variables: In a function h(x,y) h(x, y) , the independent variables are the variables that can be changed freely without being affected by other variables in the function. Here, x x and y y both serve as independent variables contributing to the utility U U .

Analysis and Detail

  1. Examine the function structure: The function h(x,y) h(x, y) explicitly has two inputs. Thus, examining the form of the function shows both x x and y y have the capacity to vary independently.

Verify and Summarize

  1. Counting independent variables: Since we have clearly identified that there are two variables x x and y y that can be independently varied, we conclude that there are 2 independent variables in the utility function U=h(x,y) U = h(x, y) .

Final Answer

The number of independent variables in the general utility function U=h(x,y) U = h(x, y) is c. 2.

This problem has been solved

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