(a) yes
(b) 1
(c)9
(d) 44
this ks done by using AM>GM method ..then x+y> 6 .because xy=9
so x=9, 1=y equality will hold of AM,GM relation
4. Following optimization problem is given as follows: Max z= x + y + xy +...
Feasible region for an optimization problem is given as follows: у D E B A X Coordinates of the corner points are given in below table: Corner Points A B с D E Coordinates X 4 2 8 3 7 6 5 8 5 Find the optimum values of the following objective functions according to the given feasible region: a) min z = 5x +9y b) min z = 2x – 3y c) max z = 3x + 4y max...
QUESTION 3 Given this problem: Max Z = $0.3x + $0.90y Subject to: 2x + 3.2y <= 160 4x + 2.0y <= 240 y <= 40 X, y >=0 a) Solve for the quantities of x and y which will maximize Z. The x = The y = b) What is the maximum value of Z? The Z=
please show answers clearly Given this problem Max Z = $0.3x + $0.90y Subject to: 2x + 3.2y= 160 4x + 2.0y = 240 y = 40 x.y >=0 a) Solve for the quantities of x and y which will maximize Z. The x = They b) What is the maximum value of Z? The Z
Consider the following linear regression model 1. For any X x, let Y xBU, where 3 E R*. 2. X is exogenous 3. The probability model is {f(u;0) is a distribution on R: Ef [U] = 0, VAR, [U] = 02,0 > 0}. 4. Sampling model: Y} anidependent sample, sequentially generated using Yi x Ui,where the U IID(0,0) are (i) Let K 0 be a given number. We wish to estimate B using least-squares subject to the constraint 6BK2. Write...
Consider this linear optimization problem: maximize 4 x + 5 y + 6 z subject to 3 x + 2y <= 100 y + 3 z <= 120 4 x + z <= 80 x, y, z should be non-negative. Solve this and write down the value of x in the optimal solution.
2) Use the function h(x,y)= as follows: 1+x2+y2+x+xy 2 2D optimization utilizing Excel · Produce a surface plot of the function Utilize Solver to find the optimum value o o 2D optimization utilizing Matlab o o o Produce a surface plot the function Produce a contour plot of the function Utilize fminsearch to find the optimum value
Problem 1: Consider the following problem x+y+1=1 x2 +y2+z2 =1 max f(x ,y,z)=er+y+1 subject to (a) Solve the problem. (b) Replace the constraints byx+y+1=1.02 and x2+y2+Z2-0.98. What is the approximate change in the optimal value of the objective function? (c) Classify the candidate points for optimality in the local optimization problem.
Consider the following linear regression model 1. For any X = x, let Y = xB+U, where B erk. 2. X is exogenous. 3. The probability model is {f(u; ) is a distribution on R: Ef [U] = 0, VAR; [U] = 62,0 >0}. 4. Sampling model: {Y}}}=1 is an independent sample, sequentially generated using Y; = xiß +Ui, where the U; are IID(0,62). (i) Let K > 0 be a given number. We wish to estimate B using least-squares...
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 of each corner point of the feasible region (c) Determine the optimal solution and optimal objective function value.
Given this problem: Max Z = $0.3x + $0.90y Subject to: 2x + 3.2y <= 160 4x + 2.0y <= 240 y <= 40 x, y >= 0 a) Solve for the quantities of x and y which will maximize Z. The x =. The y = . b) What is the maximum value of Z? The Z =