Question: Solve the following problem by the simplex method. What condition exists that prevents you from reaching an optimal solution? Maximize profit = 6X1 + 3X2

Solve the following problem by the simplex method. What condition exists that prevents you from reaching an optimal solution?

Maximize profit = 6X1 + 3X2

Subject to 2X1 – 2X2 ≤ 2

–X1 + X2 ≤ 1

X1, X2 ≥ 0


Step by Step Solution

★★★★★

3.40 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

At the second iteration the following simplex tableau is found A... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

162-M-S-L-P (129).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Solve the following problem by using a) Two elements with two nodes b) Two elements with three nodes c) d) Two elements with four nodes For each of the above cases (a, b, and c) Find the nodal...

Q:

Solve the following problem by doing hand calculations. Please do not use Excel or any other computer software. The following data represents the overall miles per gallon (MPG) of mid-sized sedans....

Q:

The following is the number of trips and the number of households by the number of persons per household and the level of household income in a given traffic zone. Persons/household. 1 2 3 5 or more...

Q:

Consider the following problem. Maximize Z 8x1 24x2, subject to x1 2x2 10 2x1 x2 10 and x1 0, x2 0. Suppose that Z represents profit and that it is possible to modify the objective function...

Q:

Assignment 1 1. Food A contains 20 units of vitamin x and 40 units of vitamin y per gram. Food B contains 30 units of each of vitamins x and y. The daily minimum human requirements of vitamin x and y...

Q:

Question 4 Consider the following problem. Maximize Z = xz - 3x2 + 2x3 subject to 2X1 + 2x2 2x3 6 -X2 + 2x3 5 4 X1, X2, X3 > 0 (a) Solve the given problem using the simplex method. (b) Write the dual...

Q:

Maximize profit = 8X1 + 6X2 + 14X3 subject to 2X1 + X2 + 3X3 120 2X1 + 6X2 + 4X3 = 240 X1, X2 0 Solve the above problem with the simplex method. Provide the value of the basic variables (BV) at...

Q:

Maximize profit = 8 X 1 + 6 X 2 + 14 X 3 subject to2 X 1 + X 2 + 3 X 3 120 2 X 1 + 6 X 2 + 4 X 3 = 240 X 1 , X 2 0 Solve the above problem with the simplex method. Provide the value of the basic...

Q:

M7-25 Consider the following financial problem: ki Maximize return on investment-$2x, + $3x2 subject to 6X1 9x218 (a) Find the optimal solution using the simplex method (b) What evidence indicates...

Q:

Question One a) Briefly explain the below terms Mathematical program. (2mks) cm Rank variables (2mks) ( Optimal solution. (2mks) b) Put the following program in standard forum Maximize: Z=5x1 + 2xx...

Q:

Obtain Whole Foods' 2007 annual report either through the ''Investor Relations'' portion of its website (do a web search for Whole Foods investor relations) or go to www.sec.gov and click ''Search...

Q:

If an excited hydrogen-like species (ion) emits a radiation of frequency 8.876 x 10" s when the excited electron makes a transition from the first excited state to the ground state, which 16 -1...

Q:

A 1 0 - year bond is issued with a face value of $ 1 , 0 0 0 , paying interest of $ 6 0 a year. If yields to maturity increase shortly after the T - bond is issued, what happens to a . Coupon rate? b...

Q:

According to the FASB conceptual framework, the objectives of financial reporting for business enterprises are based on a. Generally accepted accounting principles. b. Reporting for regulators. c....

Q:

5-40 Using the DJIA data in Problem 5-39, use exponential smooth with trend adjustment to forecast the opening DJIA value for 2014. Use = 0.8. and = 0.2. Compare the MSE for this technique with the...

Q:

5-39 The following table provides the Dow Jones Industrial Average (DJIA) opening index value on the first working day of 19942013: Develop a trend line and use it to predict the opening DJIA index...

Q:

5-36 The unemployment rates in the United States during a 10-year period are given in the following table. Use exponential smoothing to find the best forecast for next year. Use smoothing constants...

Q:

Looking forward to next year, if Baldwins current cash balance is $17,478 (000) and cash flows from operations next period are unchanged from this period and Baldwin takes ONLY the following actions...

Q:

Beasley Ball Bearings paid a $4 dividend last year. The dividend is expected to grow at a constant rate of 7 percent over the next four years. The required rate of return is 20 percent (this will...

Q:

150 people are asked how many siblings they have? # of Siblings Frequency |Relative Frequency |Cumulative Frequency O 0.2533 38 28 0. 1867 2 32 0.2133 98 W 22 120 4 30 0.2 150 a. Complete the table...