Beth has $200 of income to spend on e-books (E), priced at $10 per book, and Zumba (Z) classes, priced at $8 per class. Which of the following consumption bundles is infeasible?

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BlackTom AI · Accepted Answer

We start by restating the decision problem in our own words: Beth has a total budget of 200, with ebooks costing 10 each and Zumba classes costing 8 each. A bundle is feasible if its total cost does not exceed 200, i.e., 10E + 8Z ≤ 200.
Option A: E = 8 and Z = 15. Compute the total cost: 8(10) + 15(8) = 80 + 120 = 200. This exactly exhausts the budget, so it is feasible.
Option B: E = 10 and Z = 13. Compute the total cost: 10(10) + 13(8) = 100 + 104 = 204. Since 204 > 200, this bundle cannot be purchased with the given income, so it is infeasible.
Option C: E = 2 and Z = 22. Compute the total cost: 2(10) + 22(8) = 20 + 176 = 196. This is less than or equal to 200, so it is feasible.
Option D: E = 20 and Z = 0. Compute the total cost: 20(10) + 0(8) = 200. This exactly uses the entire budget, so it is feasible.
In summary, only Option B breaks the budget constraint by exceeding the available income, making it the infeasible bundle. All other options satisfy 10E + 8Z ≤ 200.

ECON3200001.1251 Pre-class Quiz 3

Beth has $200 of income to spend on e-books (E), priced at $10 per book, and Zumba (Z) classes, priced at $8 per class. Which of the following consumption bundles is infeasible?

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