Question: Determine the optimum solution for each of the following LPs by enumerating all the basic solutions. (a) Maximize z = 2x1 - 4x2 + 5x3

Determine the optimum solution for each of the following LPs by enumerating all the basic solutions.

(a) Maximize z = 2x1 - 4x2 + 5x3 - 6x4

Subject to

x1 + 4x2 - 2x3 + 8x4 ≤ 2

- x1 + 2x2 + 3x3 + 4x4 ≤ 1

x1, x2, x3, x4 ≥ 0

(b) Minimize z = x1 + 2x2 - 3x3 - 2x4

Subject to

X1 + 2x2 - 3x3 + x4 = 4

X1 + 2x2 + x3 + 2x4 = 4

x1, x2, x3, x4 ≥ 0

Step by Step Solution

★★★★★

3.40 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Maximize z 2x 1 4x 2 5x 3 6x 4 Subject to X 1 4x 2 2x 3 8x 4 x 5 2 x 1 2x 2 3x 3 4x 4 x 6 1 X 1 x ... 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

448-M-S-L-P (1372).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Use the KKT conditions to derive an optimal solution for each of the following problems. (a) Maximize f(x) = x1 + 2x2 - x32, subject to x1 + x2 1 and x1 0, x2 0. (b) Maximize f(x) 20x1 + 10x2,...

Q:

Investigate the optimality of the TOYCO solution for each of the following objective functions. If the solution changes, use post-optimal analysis to determine the new optimum. (The optimum tableau...

Q:

Determine the solution space and the optimum solution of the Reddy Mikks model for each of the following independent changes: (a) The maximum daily demand for exterior paint is at most 2.5 tons. (b)...

Q:

1. Apply simplex algorithm (Use Big M Method for second). Determine the optimum solution for each of the following LPs by enumerating all the basic solutions (a) Maximize z = 2x1 - 4x2 + 5x3 - 6x4...

Q:

Determine the optimum solution for each of the following LPs by enumerating all the basic solutions. (a) Maximize z = 2x1 - 4x2 + 5x3 - 6x4 subject to x1 + 4x2 - 2x3 + 8x4 2 -x1 + 2x2 + 3x3 + 4x4 1...

Q:

3 - 1 2 . Determine the optimum solution for each of the following LPs by enumerating all the basic solutions. ( a ) Maximize z = 2 x 1 - 4 x 2 + 5 x 3 - 6 x 4 subject to x 1 + 4 x 2 - 2 x 3 + 8 x 4...

Q:

solve it correctly please 2. Determine the optimum solution for each of the following LPs by enumerating all the basic solutions. (a) Maximize z=2x14x2+5x36x4 subject to...

Q:

1. Consider the following LP: Maximize z = 2xI + 3X2 subject to Xl + 3X2 :5 6 3x[ + 2x2 :5 6 1 S ~ S ~ 1 1 ) 2. s (a) Express the problem in equation form. (b) Determine all the basic solutions of...

Q:

Problem 1 Determine the optimum solution for each of the following LPs by enumeratiog all the basic solutions. (a) Maximize z - 2x1 4x2 + 5x3 6x4 subject to X1 + 4x2 - 2x3 + 8x4 = 2 -X1 + 2x2 + 3x3 +...

Q:

Assignments Question 4 of Forum L> Moving to another question will save this response. Quizzes Tests Virtual Classrooms Ultra 10 points Question 4 Determine the optimum solution for each of the...

Q:

Explain sedimentary facies. (See Fig. 5.10.)

Q:

At the ABC Floral Shop, an argument developed between two of the owners, Bob and Henry, over the accuracy of forecasting methods. Bob argued that exponential smoothing with = .1 would be the best...

Q:

Darlene Debtor did the following within 9 0 days of filing for bankruptcy. Which could be set aside as a preferential payment? Group of answer choices Prepaid an installment loan on inventory....

Q:

A $200,000, 2-year, 8% bond paying interest semiannually (4%) is sold to yield a market rate of 6% (3%). Compute the bond selling price and prepare the journal entry for the sale.

Q:

The annual demand of electricity in small town is estimated at 120MWH annually received primarily its Co-op but can be supplemented from the grid network at $160/ MWH in case of shortages. The Co-op...

Q:

In each of the following cases, determine the feasible extreme points graphically, and express the feasible solution space as a function of these extreme points. If the solution space is unbounded,...

Q:

Ozark University admission office is processing new applications for the upcoming academic year. The applications fall into three categories: in-state, out-of-state, and international. The malefemale...

Q:

calculate EV/EBITDA & PE ratio and price to cash flow ratio for alphabet price per share is 2879 pence per share and ordinary shares at the end of the year were 1,263,143,338 Fixed assets Fixed asset...

Q:

you been asked to make recommendations regarding capital budgeting for IDK, Inc. Specifically,the company has identified 5 projects that it is considering undertaking. The projects are independent...

Q:

Please show below with Excel calculations: Q4: Currency Swap Value On September 15th, 2013, ABC bank entered into a 2-year currency swap contract with GV Manufacturing, paying Euro fixed 6% and...