Question 2 Use the dual simplex method to solve the following problem. maximize subject to - 4x1 2x1 3x1 -5x1 - - 8x2 9x3 X2 x3 4x₂ + x3 - 2x3 ≤ 1 ≤3 -8 T1, T2, T3 ≥ 0.
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- For all positive numbers aaand bbwith a>ba>b, ln(a−b)=ln(a)/ln(b)ln(a−b)=ln(a)/ln(b) True or falseCorrect answer will be upvoted else Multiple Downvoted. Computer science. Gildong has a square board comprising of n lines and n sections of square cells, each comprising of a solitary digit (from 0 to 9). The cell at the j-th section of the I-th line can be addressed as (i,j), and the length of the side of every cell is 1. Gildong prefers enormous things, so for every digit d, he needs to find a triangle with the end goal that: Every vertex of the triangle is in the focal point of a cell. The digit of each vertex of the triangle is d. Somewhere around one side of the triangle is corresponding to one of the sides of the board. You might expect that a side of length 0 is corresponding to the two sides of the board. The space of the triangle is boosted. Obviously, he can't simply be content with tracking down these triangles with no guarantees. Along these lines, for every digit d, he will change the digit of precisely one cell of the board to d, then, at that point, track…Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B
- 1: Given a fixed integer B (B ≥ 2), we demonstrate that any integer N (N ≥ 0) can bewritten in a unique way in the form of the sum of p+1 terms as follows:N = a0 + a1×B + a2×B2 + … + ap×Bpwhere all ai, for 0 ≤ i ≤ p, are integer such that 0 ≤ ai ≤ B-1.The notation apap-1…a0 is called the representation of N in base B. Notice that a0 is theremainder of the Euclidean division of N by B. If Q is the quotient, a1 is the remainder of theEuclidean division of Q by B, etc.1. Write an algorithm that generates the representation of N in base B. 22. Compute the time complexity of your algorithm.Correct answer will be upvoted else downvoted. you can choose any substring of a containing exactly k characters 1 (and arbitrary number of characters 0) and reverse it. Formally, if a=a1a2…an, you can choose any integers l and r (1≤l≤r≤n) such that there are exactly k ones among characters al,al+1,…,ar, and set a to a1a2…al−1arar−1…alar+1ar+2…an. Find a way to make a equal to b using at most 4n reversals of the above kind, or determine that such a way doesn't exist. The number of reversals doesn't have to be minimized. Input Each test contains multiple test cases. The first line contains the number of test cases t (1≤t≤2000). Description of the test cases follows. Each test case consists of three lines. The first line of each test case contains two integers n and k (1≤n≤2000; 0≤k≤n). The second line contains string a of length n. The third line contains string b of the same length. Both strings consist of characters 0 and 1. It is guaranteed that the sum of n over all…The linear programming model is solved by the Simplex Method Min Z = 8 X1 - 12 X2 + 4 X3 Hold it: X1 + X2 + X3> = 30 2 X1 + 3X2 + X3> = 12 X1> = 0; X2> = 0; X3> = 0 Select one:1.True2.Fake
- For each set of cubes in terms of variables (a, b, c, d] obtain the minimized version for boolean fuction f(a, b, c, d) (00X1, 0XX1, 1000, 1100, 1010, 1110} {1XX0, 10XX, 11XX, 00XX} ✓ {00XX, 01XX, 0XXX, 01X1} (0100, 1010, 1XX1, XXXX, 0001} {0001, 0011, 0101, 0111, 1101, 1111, 1001, 1011} ✓ {000X, 010X, 1X00, 1X01} A f(a, b, c, d) = 1 B. f(a, b, c, d) = d C. f(a, b, c, d) = ē D. f(a, b, c, d) = a + a b Ef(a, b, c, d) = a F. f(a, b, c, d) = a d6 7 8 9 10 ======= 11 12 13 14 15 16 17 18 19 20 21 22 XO la b 1 m Periodicity U 50 33 97 D XI E F G H I J L M N Use linear congruential generator approach to find Xi, what is the periodicity? Rename cells C4, C5, C6 and C7 as X0, a, b and m, respectively. RUDIMENTS OF RANDOM NUMBER GENERATION (1 OF 2) LINEAR CONGRUENTIAL GENERATORS (BYLEHMER 1951 A sequence of integers defined by the following recursive formula X = (ax +b) MOD m, 1 = 0, 1.... which means divide (ax, + b) by m, let X... be the remainder of this division a multiplier b increment m the modulus x0 seed or initial point 0 PCorrect answer will upvoted else downvoted. playing a game on a round board with n (2≤n≤106) cells. The cells are numbered from 1 to n so that for every I (1≤i≤n−1) cell I is contiguous cell i+1 and cell 1 is nearby cell n. At first, every cell is unfilled. Omkar and Akmar alternate setting either An or a B on the board, with Akmar going first. The letter should be set on a vacant cell. What's more, the letter can't be put nearby a cell containing a similar letter. A player loses when it is their move and there are not any more substantial moves. Output the number of conceivable particular games where the two players play ideally modulo 109+7. Note that we just consider games where some player has lost and there are not any more substantial moves. Two games are considered unmistakable if the number of turns is unique or for some turn, the letter or cell number that the letter is put on were unique. A move is considered ideal if the move amplifies the player's shot at…
- Please explain the given solution for the question Solution: checksum :: Integral a => [a] -> Bool checksum xs = (length xs == 8) && ((sum xs) `mod` 11 == 0)Correct answer will be upvoted else Multiple Downvoted. Computer science. Jason discovered that alarms can sing one of the n+1 tunes, which have the accompanying construction: let si (0≤i≤n) be the I-th tune and t be a line of length n, then, at that point, for each i<n: si+1=sitisi. All in all i+1-st tune is the connection of I-th tune, I-th letter (0-recorded) of t and the I-th melody. Luckily, he likewise knows s0 and t. Jason considers how frequently a mariner's name is referenced in a specific tune. Answer q inquiries: given the mariner's name (w) and the file of a tune (I) output the number of events of w in si as a substring. As this number can be very huge, output its remaining portion modulo 109+7. Input In the main line of input there are two integers n, q ( 1≤n,q≤105) implying that there are n+1 tunes and q questions. In the following two lines strings s0 and t follow (1≤|s0|≤100,|t|=n). Next q lines depict the questions; every one contains an integer k…Q2/ If a cubic equation is expressed as ax3 + bx2 - cx + d = 0 and we let A= 18abce – 4b³d + b?c2 - 4ac3 – 27a²d? we can determine the nature of the roots as follows A>0: three distinct real roots A = 0: has a multiple root and all roots are real A<0: has one real root and two non-real complex conjugate roots Incorporate this into a C++ program to determine the nature of the roots of a cubic expression from suitable input.