Question: Given the following linear programming problem Maximize 40x + 30y Subject to x + y < 80 3x + 2y < 180 2x + y

Given the following linear programming problem

Maximize 40x + 30y

Subject to

x + y < 80

3x + 2y < 180

2x + y > 20

x, y > 0

(a) Graph the constraints.

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

(c) Determine 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 Mathematics Questions!

Q:

onsider the following linear programming problem: Maximize 10X + 30Y Subject to: X + 2Y 80 8X + 16Y 640 4X + 2Y 100 X, Y 0 This is a special case of a linear programming problem in which A) there is...

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:

please post the corner points and the graph for the problem. thank you!! 5. Solve the following linear programming problem: Maximize 6x 5y + Subject To X 3x 2x + + + 2y = 14 y 12 y = 3 + 10y = 30 X,...

Q:

State the linear programming problem Do not solve The Acme Class Ring Company designs and sells two types of rings the VIP and the SST Let x be the number of VIP rings and y be the number of SST...

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

Q:

Find the duals for the following: Maximize Z= x, +3x, + 4X3 subject to 3x, +x2 - X54 4%1 - X2 + 2x, 2-1 XuXX 20 A. Minimize W = 4y, + y2 subject to 3y1 - 4y2 2 1 yityz 23 -y1 - 2yz 2 4 YUM2 20 B....

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:

The following is a payoff table giving profits for various situations. States of Nature Alternatives A Alternative 1 100 120 180 200 Alternative 2 100 50 120 Alternative 3 140 120 0 0 0 Do Nothing...

Q:

George Caloz & Frres, located in Grenchen, Switzerland, makes prestige high-end custom watches in small lots. One of the companys products, a platinum diving watch, goes through an etching process....

Q:

In the last decade there has been a shift towards the direct transfer of funds from investors to the corporate sector. Examine some of the reasons for this trend.

Q:

Question Content Area A ( n ) accounting unitcost centerresponsibility centerrevenue center is a responsibility center where a manager is responsible only for sales.

Q:

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...