Graduate students at University of Massachusetts consume only two goods: rental apartment space (good x) and sandwiches (good y). 2020: I = $3,000 Px = $4Py = $6 %3D 2021: I = $3,300 Px = $5Py = $6 Assume, in each year, all graduate students have the same income and face the same prices for apartments and sandwiches. However, graduate students have different preferences for apartments and sandwiches, but each student's preferences are consistent from year to year. Assume also that each student chooses his most preferred bundle given his budget set in each year. Denote the bundle in 2020 by (Xo, yo) and this year's bundle by (x1, yı). a. What are the equations for their budget constraints in 2020 and 2021? b. What combination (bundle) of apartments and sandwiches is on graduate students' budget constraints in 2020 and 2021? С. On a carefully labeled graph with square feet on the horizontal axis, draw the budget constraints.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Graduate students at University of Massachusetts consume only two goods: rental
apartment space (good x) and sandwiches (good y).
2020:
I = $3,000
Px = $4Py = $6
2021:
I = $3,300
Px = $5Py = $6
Assume, in each year, all graduate students have the same income and face the same prices for
apartments and sandwiches.
However, graduate students have different preferences for
apartments and sandwiches, but each student's preferences are consistent from year to year.
Assume also that each student chooses his most preferred bundle given his budget set in each
year.
Denote the bundle in 2020 by (xo, yo) and this year's bundle by (x1, y1).
a.
What are the equations for their budget constraints in 2020 and 2021?
b.
What combination (bundle) of apartments and sandwiches is on graduate
students' budget constraints in 2020 and 2021?
On a carefully labeled graph with square feet on the horizontal axis, draw the
с.
budget constraints.
d.
Which students are better off this year, compared to last year? Which students
are worse off this year, relative to last year?
Transcribed Image Text:Graduate students at University of Massachusetts consume only two goods: rental apartment space (good x) and sandwiches (good y). 2020: I = $3,000 Px = $4Py = $6 2021: I = $3,300 Px = $5Py = $6 Assume, in each year, all graduate students have the same income and face the same prices for apartments and sandwiches. However, graduate students have different preferences for apartments and sandwiches, but each student's preferences are consistent from year to year. Assume also that each student chooses his most preferred bundle given his budget set in each year. Denote the bundle in 2020 by (xo, yo) and this year's bundle by (x1, y1). a. What are the equations for their budget constraints in 2020 and 2021? b. What combination (bundle) of apartments and sandwiches is on graduate students' budget constraints in 2020 and 2021? On a carefully labeled graph with square feet on the horizontal axis, draw the с. budget constraints. d. Which students are better off this year, compared to last year? Which students are worse off this year, relative to last year?
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