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A consumer has income equal to $1,000, to spend on two goods, X and Y, where price of good X is $20 per unit, and price of good Y is $50 per unit. The X-intercept of the consumer's budget constraint has units and the Y-intercept of the consumer's budget constraint has units.

Question

A consumer has income equal to 1,000,tospendontwogoods,XandY,wherepriceofgoodXis1,000, to spend on two goods, X and Y, where price of good X is 20 per unit, and price of good Y is $50 per unit. The X-intercept of the consumer's budget constraint has units and the Y-intercept of the consumer's budget constraint has units.

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Solution

Question: What are the X-intercept and Y-intercept of the consumer's budget constraint?

Answer:

  1. The X-intercept of the consumer's budget constraint is found by determining how many units of good X the consumer can buy if they spend all their income on good X.

  2. Given that the price of good X is 20perunit,theconsumercanbuy20 per unit, the consumer can buy 1,000 / $20 = 50 units of good X. So, the X-intercept is 50 units.

  3. The Y-intercept of the consumer's budget constraint is found by determining how many units of good Y the consumer can buy if they spend all their income on good Y.

  4. Given that the price of good Y is 50perunit,theconsumercanbuy50 per unit, the consumer can buy 1,000 / $50 = 20 units of good Y. So, the Y-intercept is 20 units.

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