According to the question, the utility function can be written as: [tex]U(x,y)=min(341,172)[/tex]
What is utility function and perfect complements?
A utility function is a standard rule which is assigned to all consumption bundles. And it is represented as two good models which are known as domain and codomain. It is also used to represent the individual items for the goods or services beyond their monetary value. Similarly, when two goods are consumed perfectly then they are called perfect complements.
Similarly, Perfect complement is: [tex]max(341,172)[/tex]
Therefore, the equations can be written for the points(1,2):
[tex]x_{1} +2x_{2} =172[/tex] and [tex]x_{1} +x_{2} = 341[/tex]
And the calculated equation is perfect complements:
[tex]x_{1} +2x_{2} =172[/tex] and [tex]x_{1} +x_{2} = 341[/tex]
To learn more about the utility function and perfect complement from the given link:
https://brainly.com/question/13684345
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