To discover optimal substructure we must show that an optimal solution to the overall problem provides an optimal solution to the subproblems.
True or False
False
An optimal subproblem to a solution means that for a problem of size n, there are sub problems each of size n' such that solution to all of them provides the solution to the problem to the solution of size n.
A solution has the property of optimal substructure if the optimal solutions to the subproblems can be used to obtain the solution to the given problem. Which means the subproblems should combine and provide the solution to the problem.
But in the question, it is given in the reverse.
To discover optimal substructure we must show that an optimal solution to the overall problem provides...
[III.4] You are given a boolean expression consisting of a string of the symbols 'true', 'false', and', 'or', and 'xor'. Count the number of ways to parenthesize the expression such that it will evaluate to true. For example, there is only 1 way to parenthesize 'true and false xor true' such that it evaluates to true. Complete the following tasks. [III.4a] Show the parenthesization of the example such that evaluate to true. 'true and false xor true' [III.4b] Show the optimal substructure...
algorithm TRUE OR FALSE TRUE OR FALSE Optimal substructure applies to alloptimization problems. TRUE OR FALSE For the same problem, there might be different greedy algorithms each optimizes a different measure on its way to a solutions. TRUE OR FALSE Computing the nth Fibonacci number using dynamic programming with bottom-upiterations takes O(n) while it takes O(n2) to compute it using the top-down approach. TRUE OR FALSE Every computational problem on input size n can be...
Can someone aid me in my quest to discover a solution to these
problems below? Also, if possible, could you be as descriptive as
humanly possible in your work, so I can grasp a better
understanding of the overall concepts?
5%) Problem 1: To start a car engine, the car battery moves 3.01021 electrons through the starter motor. How many coulombs of charge are moved? We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable...
please Solve This!!
Consider a maximization problem with the optimal tableau in Table 73. The optimal solution to this LP is z = 10, x3 = 3, x4 = 5, x1 = x2 = 0. Determine the second-best bfs to this LP. (Hint: Show that the second-best solution must be a bfs that is one pivot away from the optimal solution.) TABLE 73 z X1 X2 X3 X4 rhs 1 2 10 10 10 0 3 2 1 0 3...
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C =17x + 19ysubject to8x + 14y ≥ 2111x + 6y ≥ 31andx ≥ 0, y ≥ 0.Please show me how to do this by hand, not through excel.
1. (6 points) Find an optimal solution for the following transportation problem using the minimal cost method and the transportation algorithm: Minimize lahi + 2x12 + 2x13 + 4x21 + 3x22 + 4x23 + 4x31 + 1x32 + 3x33, subject to the constraints X11 + X12 + X13 = 100. x21 +x22 +x23 = 50. r31 + 232 +x33 100 x11 + 2'21 +2'3,-150. 12 22+32-50 x13 + x23 + x33-50. for all i, j = 1.2.3. xij > 0,...
An optimization problem that has multiple optimal solutions: A) provides the decision-maker with increased flexibility B) is reflected by the entire feasible region being optimal C) means that there are actually no optimal solutions. D) means that the surplus for a third constraint cannot be calculated.
Find the complete optimal solution to this linear programming problem (using Excel) and enter the optimal x value. Max 5X + 6Y s.t. 3X + Y <= 15 X + 2Y <= 12 3X + 2Y <= 24 X , Y >= 0 Find the complete optimal solution to this linear programming problem using Excel and type in the optimal value of X below (X*=?). Max 2X + 3Y s.t. 4X + 9Y <= 72 10X + 11Y <= 110...
Need the following answer:
Select all the statements below which are TRUE To show that a greedy algorithm always yields an optimal solution, we need to prove the greedy-choice property We do not need to prove the optimal substructure property TREE-INSERT(T.Z.) is the insert operation for Binary Search Trees (BST) TREE-INSERT(T.Z) has the worst -case running time (lgn). where n is the number of nodes in the tree Let G be an undirected graph In the adjacency- list representation of...
We use the transportation tableau to find the optimal
solution
please show working
Transportation Method (Example) Mar 800 Demand Capacity: 1000 1,100 Regular Overtime Subcontracting 800 100 200 100 Costs 700 100 300 700 50 150 Beginning invento $30 per tire $50 per tire Regular time Overtime Subcontracting$60 per tire Carrying $4 per tire per month