EBK MICROECONOMICS
EBK MICROECONOMICS
13th Edition
ISBN: 8220106798652
Author: Arnold
Publisher: CENGAGE L
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Chapter 13, Problem 2WNG
To determine

Calculate the unit of factor that a firm buys at price $48.

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Jolene has a production function 4?1 + ?2. If the factor prices are £12 for factor 1 and £2 for factor 2, how much will it cost her to produce 30 units of output? Use lagrange to solve this
Prunella raises peaches where L is the number of units of labor she uses and T is the number of units of land she uses. Her output is f(L,T) = LT bushels of peaches. If the cost of land is 2 and the wage for labor is 7, find the cost minimizing amount of labor to use subject to the constraint that output must be 137 bushels. Round your answer to the second decimal place, e.g., 12.345 = 12.35.
Amy wants to open a coffee shop and has already rented a coffee retail space on Bloor Street, signing a lease for three months, which includes her expresso-making equipment. The rent is $900 per week and the wage for barristas is $16 per hour. Amy can legally keep her shop open up to 100 hours a week. The number of expresso drinks q Amy’s barristas can make in an hour given the capital on hand, and assuming she doesn’t run out of beans or cups, is given by q = 15L.5 where L is the number of barristas currently working. Amy can provide 50 hours of barrista labor herself instead of hiring a worker if she wants to reduce labor costs, and she could also work 50 hours a week running the coffee shop across the street for $25 an hour. The typical price of an expresso drink is $7, which Amy takes as given since there are many other coffee shops in the neighborhood. The cost of the materials M (cups, beans, and milk) that go into each drink sold is $2.50, and Amy’s coffee bean and cups…
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