For a consumer, the price of good 1 is $5 per unit for the first 5 units, then the price drops to $1 per unit for every unit purchased thereafter. The price of good 2 is $1 per unit. The consumer has an income of $50. If good 1 is represented on the x-axis and good 2 on the y-axis, the slope of the budget constraint at x1 = 3 is:
Question
For a consumer, the price of good 1 is 1 per unit for every unit purchased thereafter. The price of good 2 is 50. If good 1 is represented on the x-axis and good 2 on the y-axis, the slope of the budget constraint at x1 = 3 is:
Solution
The slope of the budget constraint is determined by the ratio of the prices of the two goods. In this case, for the first 5 units, the price of good 1 is 1. Therefore, the slope of the budget constraint at x1 = 3 (which is within the first 5 units) is -5. This is because the slope of the budget line is typically represented as the negative ratio of the prices of the two goods.
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