Questions 1 relate to the following constrained optimization
problem: maximize z(x,y)=4x^2-2xy+6y^2 subject to x+y=72. subject
to . A) What is the optimal value of X?
B) What is the optimal value of Y?
C) What is the maximized value of Z?
Given the linear program
Max 3x+4y
s.t. -x+2y≤8
x+2y≤12
2x+y≤16
x,y≥0
a. Write the problem in standard form. Identify slack/surplus
variables.
b. List all the extreme points. You must write down the values
for x and y for each extreme point.
c. Find the optimal solution by comparing the extreme
points.
d. What are the values of the three slack/surplus variables at
the optimal solution?
Solve the following linear programming problem.
Maximize: z=10x +12y
subject to: 7x+4y<=28
10x+y<=28
x>=0
y>=0
1. The Maximun value is ____at the point____.
x+ 2y−3z=−18
2x+ 6y−10z=−34
−x−4y+ (a+ 3)z=a2
You need to use MATLAB for this part: Open a MATLAB session,
create a script and save it under the
name:yourfamilyname_yourfirstname_A_1.Do the following work in your
script and save and publish it as a PDF, as shown in MATLAB Demo
Part 2. You will need to include the published PDF of All the
MATLAB work in your electronic submission in Canvas.
(a) For the system given in Question 1, let a= 5327. Create...
2. Find the maximum value of the objective function z = 4x + 6y
where x ≥ 0 and y ≥0, subject to the constraints
a. −x + y ≤ 11
b. x+ y ≤ 27
c. 2x+ 5y ≤ 90
please do a detailed graph so i can understand better.