Plotting the points and solving the linear equations, we get the below diagram
\n\n
For \n \n \nNow check values of objective function at corner points of the shaded region \n
\n\n
\n \n \nHence at and .
\n\n"},"encodingFormat":"text/html","position":0,"text":""},"comment":{"@type":"Comment","text":"Draw the graph of the both the given lines and find the common solution between them. "},"eduQuestionType":"Multiple choice","encodingFormat":"text/markdown","learningResourceType":"Practice problem","suggestedAnswer":[{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":1,"text":""},{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":2,"text":""},{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":3,"text":""}],"text":"The maximum value of subject to and is: "},"name":"Quiz on Linear Programming Problems","typicalAgeRange":"10-17","url":"https://www.embibe.com/questions/The-maximum-value-of-2x%2By-subject-to-3x%2B5y%E2%89%A426-and-5x%2B3y%E2%89%A430%2C%C2%A0x%E2%89%A50%2C%C2%A0y%E2%89%A50-is%3A-/EM0332784"}
Embibe Experts Solutions for Chapter: Linear Programming Problems, Exercise 1: MHT-CET 2017
Author:Embibe Experts
Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Linear Programming Problems, Exercise 1: MHT-CET 2017
Attempt the free practice questions on Chapter 13: Linear Programming Problems, Exercise 1: MHT-CET 2017 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Chapter: Linear Programming Problems, Exercise 1: MHT-CET 2017 with Hints & Solutions