Question: Solve the following maximum problem. Maximize: Z = 12x1 + 11x2 3x1 + 2x2 20 2x1 + 3x2 15 Subject to: 6x1 + 5x250

Solve the following maximum problem. Maximize: Z = 12x1 + 11x2 3x1 + 2x2 20 2x1 + 3x2 15 Subject to: 6x1 + 5x250 x 0, x2 0 Rewrite our problem with slack variables $1, $2, $3 to have maximize : z = 12x1 + 11x2 3x1 + 2x2 + $1 = 20 : 2x1 + 3x2 + $2 = 15 6x1+5x2 + $3 = 50 x1 0, x2 0, 51 0, $2 0, 53 0 Also rewrite the objective function as z - 12x1 - 11x2 equations. = Oto consider the corresponding simultaneous

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To rewrite the given optimization problem with slack variables and to rewrite the object... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

For the next two numbers, consider the following scenario: Five male adults are randomly selected, and the table lists the probabilities for the number that are heavy drinkers based on data from the...

Consider the following linear program P with two resources and three activities. The resources are in the amounts of 8 and 4 and the activities are represented by the three variables. Maximize Z =...

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...

please contact me if you have any questions Question 7 8 pts Use the simplex method to solve the following maximum problem: Maximize: P = 3x1+9x2 Subject to the constraints x1 + 4x2 5 24 x1 + 2x2 5...

Use the Two-Phase simplex method to solve the following L.P. Problem. Maximize Z = 5x1 - 4x2 + 3x3 Subject to 2x1 + x2 - 6x3 = 20 6x1 + 5x2 + 10x3 = 76 8x1 - 3x2 + 6x, S50 X1, X2, X3 20

Use the Two-Phase simplex method to solve the following L.P. Problem. Maximize Z = 5x1 - 4x2 + 3x3 Subject to 2x1 + x2 - 6x3 = 20 6x1 + 5x2 + 10x3 5 76 8x1 - 3x2 +6x, 550 X, X, X z 20

Consider the following LP problem: Maximize z= 5x1 + 2x2 + 2x3 Subject to 6x1 + x2 + 7x3 42 x1 + 3x2 + 5x3 30 3x1 + x2 + x3 72 xi 0 1) The objective function equation in "standardized" form is...

Solve the following LPs by the revised simplex method: (a) Maximize z = 6x1 - 2x2 + 3x3 subject to 2x1 - x2 + 2x3 2 x1 + 4x3 4 x1, x2, x3 0 (b) Maximize z = 2x1 + x2 + 2x3 subject to 4x1 + 3x2 +...

Consider the following IP problem. Maximize z = 3 x 1 + 2 x 2 , subject to Constraint 1: 2 x 1 + 3 x 2 35, Constraint 2 : 3 x 1 + x 2 25, Constraint 3 : x 1 , x 2 0, Constraint 4 : x 1, x 2 =...

Given the following maximum problem: Maximize: P = 3x1 + 4x2+ x3 + 7x4 Subject to the following constraints: 8x1 + 3x2 + 4x3 + x4 57 2x1 + 6x2+x3+ 5x4 5 3 x1 + 4x2 + 5x3+ 2x4 5 8 x1 2 0 X3 20 x4 20...

A multinational company has many divisions. Two of these divisions are Mic Division and Mandy Division. The Mic Division produces a component that is used by the Mandy Division. The cost of...

What is the purpose of boring out the clearance hole for the bullet on the inside of the A2 flash hider

When you are old and grey and full of sleep, And nodding by the fire, take down this book, And slowly read, and dream of the soft look Your eyes had once, and of their shadows deep; How many loved...

In a certain lottery, six numbers are randomly chosen from the set {0, 1, 2 49} (without replacement). To win the lottery, a player must guess correctly all six numbers but it is not necessary to...

Mark Fletcher, president of SoftGro Inc., was looking forward to seeing the performance reports for November because he knew the companys sales for the month had exceeded budget by a considerable...

During 2017, its first year of operations as a delivery service, Persimmon Corp. entered into the following transactions. 1. Issued shares of common stock to investors in exchange for $100,000 in...

Feeling Better Medical Inc., a manufacturer of disposable medical supplies, prepared the following factory overhead cost budget for the Assembly Department for October 2014. The company expected to...

A 1.00-mol sample of an ideal monatomic gas is taken through the cycle shown in Figure P22.62. The process A B is a reversible isothermal expansion. Calculate (a) the net work done by the gas, (b)...

A firm has total assets of $ 1 0 0 and total debt of $ 2 5 . Equity is $ 7 5 . Debt - equity ratio is 3 . Debt ratios is 2 5 % . Equity ratio is 7 5 % .

The MFG Company produces a certain subassembly in each of two separate plants. These subassemblies are then brought to a third nearby plant where they are used in the production of a certain product....

Reconsider the model of Prob. 6.1-3b. (a) Construct its dual problem. (b) Solve this dual problem graphically.

Work through the simplex method step by step to solve the following problem. Maximize Z = x1 + x2 +2x3, Subject to and x1 ¥ 0, x2 ¥ 0, x3 ¥ 0. 2xi + 4x2 + 213 60 2 +3x2+ 50

=+33. A printed circuit board (PCB) has 285 small holes, called joints, into which are inserted the thin leads or pins emanating from electronic components soldered to the PCB (see Example 5.20)....

=+c. What is the probability that x exceeds 3?

=+d. What is the probability that x lies within .25 sec of 3?