A consumer must divide $600 between the consumption of product X and product Y.
The relevant market prices are Px = $10 and Py = $40. (LO2)
a. Write the equation for the consumer’s budget line.
b. Illustrate the consumer’s opportunity set in a carefully labeled diagram.
c. Show how the consumer’s opportunity set changes when the price of good X
increases to $20. How does this change alter the market rate of substitution between
goods X and Y?
a. Budget is given as:

Market rate of substitution:

b.
Feasible set: Green area below red budget line.

c. When price of good X increases to 20, budget becomes:

Feasible set: All Green area below red budget line.

Market rate of substituion:

Rate changes from 1/4 to 1/2. It doubles.
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A consumer must divide $600 between the consumption of product X and product Y. The relevant...
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1
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