A clothier makes coats and slacks. The two resources required are wool cloth and labor.The clothier has 150 square yards of wool and 200 hours of labor available. Each coatrequires 3 square yards of wool and 10 hours of labor, whereas each pair of slacksrequires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and theprofit for slacks is $40. The clothier wants to determine the number of coats and pairs ofslacks to make so that profit will be maximized.a. Formulate a linear programming model for this problem.b. Solve this model by using graphical analysis.

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Answered: A clothier makes coats and slacks. The…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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There are two shows on Netflix that Jeff can watch, Show 1 and Show 2. x₁ measures the number of episodes watched of Show 1 and x₂ measures the number of episodes watched of Show 2. Jeff's preferences can be represented by u(x₁, x₂) = x² + ax². Jeff has 11 hours available for watching Netflix today. Each episode of Show 1 lasts 30 minutes, while each episode of Show 2 lasts one hour. For all question parts, round to three decimal places if necessary. For parts (a) - (f), let a = 1. Draw Jeff's indifference curves for the utility levels u = 4, 9, 16. Draw a straight line between the bundles (x₁, x₂) = (4, 0) and (x₁, x2) = (0, 4). Now, use your picture to determine whether the following two statements are true or false. Answer "1" for true. Answer "0" for false. a) Statement 1: Jeff's preferences are strongly monotone. 1 b) Statement 2: Jeff's preferences are strictly convex. 0 c) Find the bundle at which one of Jeff's indifference curves is tangent to the budget line. (x₁, x^2) = ( d)…
In the quaint village of Chromaville, all of the residents (including their mayor) are colorblind. The mayor is decorating all the village's lampposts before their annual year-end holiday parade. She has $180 to spend on ribbon. A yard of green ribbon costs $1.50 (per yard). A yard of red ribbon costs $1.25. However, there is a sale on this week: If you buy two yards of green ribbon at the regular price, you get an additional yard of green ribbon for free! a. If yards of red ribbon are measured along the horizontal axis and yards of green ribbon are measured along the vertical axis, what is the slope of the mayor's budget constraint (during the sale)? b. What is the slope of the mayor's indifference curves (if she cannot tell the difference between red and green ribbon)? C. How many yards of red and green ribbon will the mayor purchase (during the sale)?
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