**Problem Statement: Maximizing Income for Auto Mechanic Kevin**Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 4 shocks replacements and 6 brake replacements a week. If he charges $450 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income?---**Analysis Task**Determine the optimal number of shock and brake replacement jobs Kevin should perform weekly to achieve maximum income.**Solution Requirement**Kevin should do [ ] shock replacements and [ ] brake replacements every week to maximize his weekly income.

Answered: Image /qna-images/answer/c430f873-a788-4b6d-b6e0-4bb77aed8d84.jpg

Answered: Kevin is an auto mechanic. He spends 2…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7 hours to embellish the cape. The ‘Helen’ model requires 5 hours to knit and 5 hours to embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most100 hours a month to embellish the capes. How many capes should she make to maximize her profit if she makes a profit of $80 on each ‘Ginny’ cape and a profit of $100 on each ‘Helen’.
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $500 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do enter your response here shock replacements and enter your response here brake replacements every week to maximize his weekly income.
You have $37,000 you would like to invest in two different stocks, Stock Boll and Stock Coff. The buying limit on Stock Coff is $12,900 and you want to spend at least two times as much money on Stock Boll as Stock Coff. If Stock Boll earns 5% annual interest and Stock Coff earns 4% annual interest, how much money (in dollars) should you invest in each stock to maximize your annual interest earned? What is the maximum annual interest (in dollars)? You will earn a maximum total annual interest of $ if you invest $ in Stock Boll and $ in Stock Coff.
school is having an sports event. each fake hair cost 10$ and sells at 13$, take away 2inches of table . each candle box cost 4$ and sells at 12$, takes 6inches of table. each golf cap cost 10$ and sells at 24$, and takes away 10 inches of the table. The table is 60inches long and 30inches wide. the total budget is 4000 dollars. How to maximize the profit.
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 48 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $200 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and brake replacements every week to maximize his weekly income.
A certain magical substance that is used to make solid magical spheres costs $500 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $50per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?
Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 4 hours of work from Carlo and 4 hours from Anita. Each toy requires 2 hours of work from Carlo and 4 hours from Anita. Carlo cannot work more than 16 hours per week and Anita cannot work more than 20 hours per week. If each mailbox sells for $9 and each toy sells for $13, then how many of each should they make to maximize their revenue? What is their maximum revenue? ---- Carlo and Anita should make mailboxes and toys. Their maximum revenue is $
A company has $11,270 available per month for advertising. Newspaper ads cost $180 each and can't run more than 21 times per month. Radio ads cost $570 each and can't run more than 34 times per month at this price. Each newspaper ad reaches 7200 potential customers, and each radio ad reaches 7800 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements. subject to Maximize P - 21 <34 <$11, 270 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is people

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