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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 10(perunit)Iftheconsumerbuysmorethanfiveunits,thepriceis10 (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

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Solution

Let's break this down:

  1. The consumer has an income of $100.

  2. The price for the first five units of good 1 is 10perunit.Iftheconsumerbuysmorethanfiveunits,thepriceis10 per unit. If the consumer buys more than five units, the price is 5 for any subsequent unit purchased.

  3. The consumer buys 2 units of good 2 at a price of 10aunit.Thismeansshespends10 a unit. This means she spends 20 on good 2.

  4. Subtract the amount spent on good 2 from the total income to find out how much is left for good 1. 100100 - 20 = $80.

  5. Now, let's see how many units of good 1 the consumer can buy with 80.Thefirstfiveunitscost80. The first five units cost 10 each, so she can definitely buy 5 units for $50.

  6. This leaves her with 30.Sinceanyunitofgood1beyondthefirstfivecosts30. Since any unit of good 1 beyond the first five costs 5, she can buy an additional 6 units of good 1 with the remaining $30.

  7. Therefore, the consumer buys a total of 5 + 6 = 11 units of good 1.

So, the correct answer is 11.

This problem has been solved

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