Question: Given the following linear optimization problem Maximize 30x + 20y Subject to x + y < 160 3x + y < 240 2x + y

Given the following linear optimization problem

Maximize 30x + 20y

Subject to

x + y < 160

3x + y < 240

2x + y > 80

x, y > 0

(a) Graph the constraints and determine the feasible region.

(b) Find the coordinates of each corner point of the feasible region.

(c) Determine the optimal solution and optimal objective function value.

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:

Given the following linear optimization problem Maximize 30x + 20y Subject to x + y 80 x, y > 0 (a) Graph the constraints and determine the feasible region. (b) Find the...

Q:

Given the following linear optimization problem Maximize 30x + 20y Subject to x + y 80 x, y > 0 (a) Graph the constraints and determine the feasible region. (b) Find the...

Q:

Given the following linear optimization problem Maximize 4 0 x + 2 0 y Subject to x + y 3 2 0 3 x + y 4 8 0 2 x + y 1 6 0 x , y 0 Graph the constraints and determine the feasible region for this...

Q:

2. Given the following linear optimization problem Maximize 10x + 20y Subject to x + y 50 2x + 3y 120 x 10 x, y 0 (a) Graph the constraints and determine the feasible region. (b) Find the coordinates...

Q:

Given the following linear optimization problem Maximize 10x + 20y Subject to x + y 10 x, y > 0 (a) Graph the constraints and determine the feasible region. (b) Find the...

Q:

Given the following linear optimization problem Maximize 60x + 90y Subject to x + y 120 3x + y 180 x + y 40 x, y 0 (a) Graph the constraints and determine the feasible region. (b) Find the...

Q:

2. Given the following linear optimization problem Maximize 250x + 150y Subject to x + y 60 3x + y 90 2x+y>30 x, y 20 (a) Graph the constraints and determine the feasible region. (b) Find the...

Q:

Given the following linear programming problem Maximize 40x + 30y Subject to x + y 20 x, y > 0 (a) Graph the constraints. (b) Find the coordinates of each corner point of...

Q:

1 (2 points) Which of the following statements are true? Question 1 options: Probabilities must be negative. Probabilities can either be positive or negative. Probabilities must be nonnegative....

Q:

Consider the following linear programing problem: Maximize Z=200X, +200X2 Subject to: 2X, + 4X2 X: + 3X: 39 X,X > 0 S8 When we solve the problem using the Simplex Method in tabular form, we get the...

Q:

In the thin walled open section shown below determine the position of the shear center, If moments of inertia are needed, they need to be determined. h t b - b 4t 4t

Q:

(b) The consumption function and savings function in an economy is given by: C= 200+0.6Y S= 100+0.2Y Where C, S and Y represent consumption, savings and national income, respectively. Determine the:...

Q:

Instructions: Using Excel, solve the following two problems. Show all work in Excel and submit the File through the EduCat system. Turn in this paper with your answers on it . Problem # 1 ( 6 points...

Q:

atch the compensation objectives with their meanings. Efficiency Efficiency drop zone empty. Fairness Fairness drop zone empty. Compliance Compliance drop zone empty. Improving performance and...