Consider the following LP model:max 10x1 + 12x2 +s.t.x12x12x1+++ X2+2x2+ 2x3+ 2x32x2 + X3X12x3≤20< 20< 20> 0Use the simplex method and find the optimal solution for this problem. (You need to determinethe objective value, the basic and non-basic variables and their values.)

Given linear programming problem is max s.t.We have to solve the problem.

Answered: Consider the following LP model: max…

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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1 question with 3 subparts
Each box of Healthy Crunch breakfast cereal contains a coupon entitling you to afree package of garden seeds. At the Healthy Crunch home office, they use the weightof incoming mail to determine how many of their employees are to be assigned tocollecting coupons and mailing out seed packages on a given day. (Healthy Crunch hasa policy of answering all its mail on the day it is received.)Let x = weight of incoming mail and y = number of employees required to process themail in one working day. A random sample of 8 days gave the following data:x (lb) 11 20 16 6 12 18 23 25y (Number of employees) 6 10 9 5 8 14 13 16a.) Draw a scatter diagram for the datab.) Find the equation of the least-squares line. Plot the line on the scatter diagram forpart (a).c.) Find the sample correlation coefficient r and the coefficient of determination ??.d.) If Healthy Crunch receives 15 pounds of mail, how many employees should beassigned mail duty that day? Show work
4. Find the dual of the following LP: max z = -4x1 s.t. 4x1 +3x2 6 x+ 2r, s3 3x, +x2 = 3 1店人

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Consider the following LP model: max 10x1 + 12x2 + 12x3 s.t. + 2x2 + X2 2x1 + 2x2 x1 2x1 + 2x3 + 2x3 X3 X ≤20 ≤20 <20 ≥ 0