(a)
Draw the budget constraint when income = $4,000; PX = $50; PY = $100.
(a)
Explanation of Solution
Since the income is $4,000 and
Thus, the consumer will consume 80X.
Since the income is $4,000 and price of good Y is $100, the quantity of good Y can be calculated as follows:
Thus, the consumer will consume 40Y.
Now, the budget constraint can be represented as follows:
In Figure 1, the vertical axis measures the quantity of good Y and the horizontal axis measures the quantity of good X.
(b)
Draw the budget constraint when income = $3,000; PX = $25; PY = $200.
(b)
Explanation of Solution
Since the income is $3,000 and price of good X is $25, the quantity of good X can be calculated as follows:
Thus, the consumer will consume 120X.
Since the income is $3,000 and price of good Y is $200, the quantity of good Y can be calculated as follows:
Thus, the consumer will consume 15Y.
Now, the budget constraint can be represented as follows:
In Figure 2, the vertical axis measures the quantity of good Y and the horizontal axis measures the quantity of good X.
(c)
Draw the budget constraint when income = $2,000; PX = $40; PY = $150.
(c)
Explanation of Solution
Since the income is $2,000 and price of good X is $40, the quantity of good X can be calculated as follows:
Thus, the consumer will consume 50X.
Since the income is $2,000 and price of good Y is $150, the quantity of good Y can be calculated as follows:
Thus, the consumer will consume 13.33Y.
Now, the budget constraint can be represented as follows:
In Figure 3, the vertical axis measures the quantity of good Y and the horizontal axis measures the quantity of good X.
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Economics (MindTap Course List)
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