Solve the following graphically: Max z =        3x1 + 4x2 subject to                 x1 + 2x2 ≤ 16                                       2x1 + 3x2 ≤ 18                                       x1 ≥ 2                                       x2 ≤ 10                                      x1, x2 ≥ 0 What are the optimal values of x1, x2, and z? Group of answer choices x1 = 93, x2 = 0, z = 48 x1 = 19, x2 = 0, z = 32 x1 = 10, x2 = 0, z = 27 x1 = 9, x2 = 0, z = 27 x1 = 9, x2 = 3, z = 30 x1 = 12, x2 = 6, z = 42

Q: The following LP formulation represents a transportation problem where raw material (in tons) is…

A: I will explain it in details,

Q: Consider the following LP and its optimal tableau:  max z = 3x1 + 2x2s.t. 2x1 + 5x2 ≤ 8 3x1 + 7x2 ≤…

A: Answer is given below .

Q: Two investments with varying cash flows (in thousands of dollars) are available, as shown in the…

A: Answer is given below .

Q: Why any LP with an optimal solution has an optimal basic feasible solution?

A: A favorable solution to an LP is one in which no alternative feasible solution yields a better (in…

Q: A person is cutting a long board of wood into different length of pieces. Each cutting has fixed…

A: Given array of elements Input: board length = 4 Length [] = [1, 2, 3, 4, 5, 6, 7, 8] Price []=[2, 6,…

Q: Q3. / By using graphical method to determine the optimal value of X1 and X2 that maximize value Z.

A:

Q: Maximize subject to 0≤x≤ 31. f(x)=x³60x² + 900x + 100, 14.3-7 (a) Use the first and second…

A: a) Differentiating wrt to x we get = f'(x) = 3 x^ 2 - 120 x + 900  Solving for x we get ,  (3x2 -…

Q: If 142 and 155 are two feasible solutions for a primal minimization problem, whereas 122 and 130 are…

A: If 142 and 155 are two feasible solutions for a primal minimization problem, whereas 122 and 130 are…

Q: Required: a. Which resources constrain how many jobs the service can contract for? b. If WeeMow…

A: Let,  R = Number of residential jobs C = Number of commercial jobs Objective function: Maximize Z =…

Q: In regards of the problem: max cTx subject to Ax = b, with an optimal solution of value v. Suppose…

A: Below is the required answer with explanation of information on the required answer

Q: B. Solve the Transportation problem given in the table [table is given in the next page] to find…

A: Figure :

Q: This question is about the problem “Making Change". In the Republik Question 3 Unsaved k, the only…

A: Answer: our guidelines is answer the first three question from the first question.

Q: It is unclear why each LP has an optimal fundamental feasible solution.

A: An optimal solution to a linear program is the solution which satisfies all constraints with maximum…

Q: f(n) = g(n) + h(n). Discuss which thing should be optimal, underestimated, overestimated, admissible…

A: We know that an admissible heuristic is used to estimate the cost to reach the goal state in an…

Q: For the following LP formulation, what would be the maximum number of extreme points? Maximize z =…

A: The Answer is in step-2.

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

A: Minimum   Z=10x1+25x2   Subject to,     4x1+3x2≤93x1+x2 ≤94x1 ≤8 Replace all the inequality…

Q: Solve the following optimization problems using Gurobi and clearly present the optimal objective…

A: Solve the following optimization problems using Gurobi and clearly present the optimal objective…

Q: Suppose that there are four items available which can be put into a knapsack that has a capacity of…

A: def knapSack(c, wt, utl, n): K = [[0 for x in range(c + 1)] for x in range(n + 1)]  # Build table…

Q: Differentiate feasible and optimal solution.

A: The answer is

Q: b) Consider the following linear programming problem: Min z = x1 + x2 s.t. 3x1 – 2x2 <5 X1 + x2 < 3…

A: Solve linear programming question  Find out optimal solutions

Q: Solve the following LPP by graphical Method Maximize Z =22X1+18X2 Subject to constraints:…

A: Given that 960x1 + 640x2 ≤ 15360

Q: Suppose that there are four items available which can be put into a knapsack that has a capacity of…

A: Answer: C++ Source Code: #include &lt;bits/stdc++.h&gt;using namespace std; struct items { int…

Q: Solve the following LP optimization problem using the simplex method: maximize 40x + 30 subject to x…

A: Below is the complete solution with explanation in detail for the given question.

Q: determine the optimal value of X1 and X2 that maximize value Z. Max Z = 5X1 + 2X2 %3D St. X1 + X2 =…

A: This question comes from Operational Research which is a paper of Computer Science. Let's discuss it…

Q: a) Consider the following instance of knapsack problem where…

A: The basic idea of the greedy approach is to calculate the ratio value/weight for each item and sort…

Q: main table 1 2 4 1 0.1 2 0.2 3 0.3 0.4 3. 4,

A:

Q: Why is it that each LP with an optimum solution also has an optimal fundamental viable solution to…

A: This question describes about the each LP with an optimum solution also has an optimal fundamental…

Q: Question 31 An optimal solution is only optimal with respect to a particular mathematical model that…

A: Below is the answer to above question. I hope this will be helpful for you...

Q: Given the objective function 2x1+5x2 that needs to be maximized and the graphical solution shown…

A: According to the information given:- we have to define optimal value of the objective function on…

Q: Use the Simplex approach to solve the following LP problem:             Maximize       z =       3…

A: Given    Maximize       z =       3 X1    +      X2             Subject to:                    2…

Q: uaranteed to find an optimal solution

A:

Q: Question #5: Solve the following LPP by graphical method Maximize Z = 22x1 + 18x2 Subject to…

A: Soution: Given that 960x1 + 640x2 ≤ 15360 Let 960x1 + 640x2 = 15360 3x1 + 2x2 = 48 x1 0 16 x2 24 0…

Q: What is the difference between feasible solution and optimal solution?

A: Feasible Solution: A feasible solution is a set of values that satisfy all of the constraints in an…

Q: It is unclear why any LP with an optimal solution also has an optimal basic viable solution.

A: LP with an Optimal Solution: The viable option with the highest objective function value is the…

Q: Choose the correct solution relying on .the following options Time (Hours) Worker Job 1 Job 2 Job 3…

A: The preceding question is about job costs. It is assumed that there are four jobs available for five…

Q: egion in the given punog feasible region. Which of the following is true? I. The maximum value for…

A: Answer Option C =&gt;  I and II

Q: A person is cutting a long board of wood into different length of pieces. Each cutting has fixed…

A: This issue can be addressed by recursion for each length check whether or not this cut can give…

Q: 4) Optimal Control: Non-Quadratic Cost Function. Find the optimal path, x(t), to minize the…

A: Given: The cost function is: J=∫05x4+5u2 dt subject to the constraint: x˙=0.2x+ux0=6x5=4

Q: determine the optimal value of X1 and X2 that maximize value Z. Max Z = 5X1 + 2X2 %3D St. X1 + X2 =…

A: Solving the value of x.

Q: Usingthe following coindenominationsas an example: 1, 5, 20 and23, explain whythegreedy solution for…

A: Answer : Yes , for non - canonical coin it will not provide a correct answer.

Q: Based on the following scenario, what is the total cost for the order of the optimal solution?…

A: VENDOR PRICE PER BED PRICE OF 200 BEDS TOTAL DELIVERY CHARGE DELIVERY CHARGE FOR ONE BED DELIVERY…

Q: 1.Solve this problem using DP to find the optimal benefit of the items that can carry using the…

A: Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum…

Q: 1-)a.Find the starting solution of this transportation model by Least Cost Method. (Unit…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: person is cutting a long board of wood into different length of pieces . Each cutting has fixed…

A: I have written Python code for the following question:

Q: The following LP formulation represents a transportation problem where raw material (in tons) from…

A: Given;

Q: You are given the final simplex tableau for the dual problem. Give the solution to the primal…

A:

Concept of Randomized Approximation Algorithms

Randomized algorithms are algorithms that use random numbers to determine what to do next at any point in their logic. This means that it uses randomization for operation in the logic. Due to this randomness, the time and space complexity of the standard algorithm is reduced.