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
Solution
Break Down the Problem
- Identify the variables in the utility function: The utility function provided is of the form , where is a function of and .
Relevant Concepts
- Understanding independent variables: In a function , the independent variables are the variables that can be changed freely without being affected by other variables in the function. Here, and both serve as independent variables contributing to the utility .
Analysis and Detail
- Examine the function structure: The function explicitly has two inputs. Thus, examining the form of the function shows both and have the capacity to vary independently.
Verify and Summarize
- Counting independent variables: Since we have clearly identified that there are two variables and that can be independently varied, we conclude that there are 2 independent variables in the utility function .
Final Answer
The number of independent variables in the general utility function is c. 2.
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