Suppose that in consumer equilibrium this individual consumes 7 pizza and 6 coke. What rules must hold in consumer equilibrium? Label this bundle in your drawing (call it point “A”).
Solution:
Derive the budget line:
Budget line: M = PxX + PyY
Where: M = Income = 1000
X = pizza
Y = coke
Px = Price of pizza = 100
Py = Price of coke = 50
Income = 1000
Therefore, the budget line is as follows:
M = PxX + PyY
1000 = 100X + 50Y
Consumer equilibrium is at the point where consumers maximize their consumption at a point where the budget line is tangent to only one indifference curve when both the conditions of consumers are satisfied. These conditions are as follows:
1.). MRS = Ratio of prices or PX/PY
2.). MRS continuously falls.
This is depicted by the below graph:
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