Johnโs utility function is given by the following equation
๐(๐ฅ, ๐ฆ) = min(2๐ฅ, 5๐ฆ),
where x is the unit of good X consumed, and y is the unit of good Y consumed. Johnโs budget is $140, price of good X (๐๐) is $3, and price of good Y (๐๐) is $10. Show all the steps, with definition of every new notation used in the steps.
a) What is Johnโs optimal consumption (๐ฅ โ , ๐ฆ โ )? Graph the optimal consumption along with appropriate budget line and indifference curve.
b) If ๐๐ decreases from $3 to $2, what is the new optimal consumption (๐ฅ๐น, ๐ฆ๐น)? Graph the new optimal consumption along with appropriate budget line and indifference curve on part a)โs graph.
Draw a circular flow diagram. Identify the parts of the model that correspond to the flow of goods and services and the flow of rupees for each of the following activities:
a. Laiba pays a shopkeeper Rs.100 for a quart of milk.
b. Sarah earns Rs. 450 per hour working at a fast food restaurant.
c. Tahura spends Rs. 300 to get a haircut.
d. Hajra earns Rs. 100,000/- from her 10 percent ownership of PIA.
e. Sidrah spend Rs. 1,000/- to get a Pizza.ย