Question: Given: maximize z = 8x 1 + 6x 2 subject to: 1) 5x 1 + 2x 2

Given:

maximize z = 8x1 + 6x2

subject to:

1) 5x1 + 2x2 <= 60

2) 2x1 + 4x2 <= 48

3) 3x1 >= 15

4) 5x1 - 4x2 <= 40

a. Graphically show the feasible solution area.

b. Compute the coordinates of all intersecting feasible corner.

c. Find the optimal solution.

d. Find the value of the objective function.

e. Find the slacks/surpluses on all constraints.

f. Compute the utilization of resources (as a percent).

g. Suppose that the last constraint is changed to a strict equality. What will the optimal solution be now?

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:

Consider the following problem. Maximize z = 8x, +4x+ 6x + 3x + 9x5 s.t. x + 2x + 3x + 3x4 180 4x, + 3x + 2x + x + x 270 x + 3x + x + 3x, 180 (resource 1) (resource 2) (resource 3) x, 0, j = 1, 2, 3,...

Q:

1. Given: Maximize Z = 8x+ 6x2 Subject to: 5x, + 2xy S 60 2x + 4x2 S 48 3x, 15 5x, - 4x, S 40 x1.x220 a. Graphically show the feasible solution area. b. Compute the coordinates of all intersecting...

Q:

Using the matrix form of the simplex method, identify the missing numbers in the final tableau. Show your calculations in detail.

Q:

Solve the following LP using the Two-Phase Method: maximize z = x 1 x 2 4 x 3 2 x 1 x 2 2 x 3 8 subject to 2 x 1 x 2 x 3 6 x 1 , x 2 , x 3 0 (a) (2 points) Modify the original LP by introducing the...

Q:

please answer all the questions immediately thankyou 1. Given below is the Linear Programming Model for manufacturing two types of products: Product A and Product B. There are two constraints...

Q:

Find the optimal solution. Problem 3 The Lock and Co Hatters produces two types of hats, the panama hat and baseball cap. Each first type of hat which is the panama hat requires twice as much as...

Q:

please answer all the questions immediately thankyou 5. Given below is the Linear Programming Model for manufacturing two types of products: Product A and Product B. There are two constraints...

Q:

PROBLEM SET 2 1. Which types of a conic section when the plane is perpendicular to x-axis of a cone. A. parabola B. ellipse C. circle D. hyperbola 2. Which of the following types of conic section...

Q:

The following is a linear programming model for analyzing the product mix of Maxine's Hat Company, which produces three hat types: Maximize: Z = $7X* $8X, * $6X, Subject to: 2X, +4X, 2X, 5120...

Q:

Old MathJax webview please answer all the questions immediately thankyou find the constraint 1 of the new linear programming model. choose the answer 3. Given below is the Linear Programming Model...

Q:

Macon would like to begin planning for retirement. He has as of his 60th birthday collected $150,000 which he plans to deposit in a bank account earning 4.5% per year compounded yearly. Macon is also...

Q:

Why is it important to look at a firms historical financial statements?

Q:

Risky or Safe Project Safe project Risky project Firm ( borrower ) borrows $ 1 0 0 K from a banker ( creditor ) for a one - year project, interest rate is 5

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...