Consider the budget set for a consumer with income of 100 facing the following prices. The price for the first five units of good 1 is $10 (per unit) If the consumer buys more than five units, the price is $5 for any subsequent unit purchased. If the consumer buys 2 units of good 2 at a price of $10 a unit and is on her budget constraint, how many units of good 1 does she buy?Group of answer choices7891011
Question
Consider the budget set for a consumer with income of 100 facing the following prices. The price for the first five units of good 1 is 5 for any subsequent unit purchased. If the consumer buys 2 units of good 2 at a price of $10 a unit and is on her budget constraint, how many units of good 1 does she buy?Group of answer choices7891011
Solution
Let's break this down:
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The consumer has an income of $100.
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The price for the first five units of good 1 is 5 for any subsequent unit purchased.
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The consumer buys 2 units of good 2 at a price of 20 on good 2.
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Subtract the amount spent on good 2 from the total income to find out how much is left for good 1. 20 = $80.
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Now, let's see how many units of good 1 the consumer can buy with 10 each, so she can definitely buy 5 units for $50.
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This leaves her with 5, she can buy an additional 6 units of good 1 with the remaining $30.
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Therefore, the consumer buys a total of 5 + 6 = 11 units of good 1.
So, the correct answer is 11.
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