Question: Given the following linear program: Max 3 x 1 + 4 x 2 s.t. 2 x 1 + 3 x 2 < 24 3 x

  1. Given the following linear program:

Max 3x1 + 4x2

s.t. 2x1 + 3x2 < 24

3x1 + x2 < 21

x1, x2 > 0

  1. Identify the feasible region.

  1. Find all the extreme points list the value of x1 and x2 at each extreme point.

  1. What is the optimal solution?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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

Students Have Also Explored These Related General Management Questions!

Q:

Review: Basis, basic feasible Find an example of a 2-element set of formulas such that each element of is satisfiable but is not. (b) Show that {P, Q, (PQ)} is an unsatisfiable 3-element set, each of...

Q:

Please help me solve this linear programming problem (d) and (e). I have solved (a)(b)(c) and had some thoughts on (d) but not so sure. I attached my solution to (a)(b)(c)(d). Please help me check...

Q:

Consider the following linear program: Max s.t. 3A 1 2B 1A 1 1B # 10 3A 1 1B # 24 1A 1 2B # 16 A, B $ 0 a. Use the graphical solution procedure to find the optimal solution. b. Assume that the...

Q:

Consider the following linear program: Max s . t . 2 A 1 5 A 1 2 1 A 1 1 A 1 3 B 5 B 1 B 3 B # 4 0 0 # 1 0 $ 9 0 Constraint 1 Constraint 2 Constraint 3 A , B $ 0 Consider the following linear...

Q:

Question 1 Consider the following linear program: MAX s.t. Z=60A + 50B 10A + 20B 2 B5 Solve this linear program graphically and determine the optimal quantities of A, B, and the value of Z using...

Q:

(b) Consider the following linear program, max (3,4,0,0,0)x 1 1 1 0 0 40 s.t. -1 1 0 1 0 X = 60 3 500 1 200 X 0 Show that x = (0, 40, 0, 20, 0) is an optimal solution to this linear program. (Hint:...

Q:

1. Given the following linear program: Max 3x 1 4r 2x + 3x3 4 24 a. Identify the feasible region. (5 points) b. Find all the extreme points list the value of x and x, at each extreme point. (6...

Q:

Consider the following linear program: max 3a + 2b s.t. 1a + 1b _ 10 3a + 1b _ 24 1a + 2b _ 16 a, b _ 0 Assume that the objective function coefficient for a remains 3, but the objective function...

Q:

Given the following linear program: Max 3 x 1 + 4 x 2 s.t. 2 x 1 + 3 x 2 0 Identify the feasible region. (You must draw the feasible region.) (5 points) Find all the...

Q:

please use correct values Consider the following linear program: Max A+B St. (1) 4A + 6B S 16 15 minutes on slide (2) 2A-382-3 (3) A+B 21 A and B 2 0 and both to be integer The figure to the right...

Q:

Apollo Shoes, Inc. is an audit case designed to introduce you to the entire audit process, from engagement through drafting the appropriate audit report. In order to complete the case, you are asked...

Q:

Mrs. Geekalert wants to know if requiring her son to do 4 hours' worth of homework every night has increased his IQ to above the general population's mean IQ. Her son's IQ is 134. The general...

Q:

How many Courts of Appeals are there in Texas? 1 5 0 5 7 1 4 2 5 4 9

Q:

Case Greenbuilders Pte Lid ("GPL") is a local construction company which specialises in providing bespoke Design and Build construction services for private residential homes that are designed to be...