Q4) By using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z. Max Z= X1 + 2X2
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Q: Q3. / By using graphical method to determine the optimal value of X1 and X2 that maximize value Z.
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![Q4) By using Graphical Method to
determine the optimal value of X1
& X2 that maximize value of Z.
Max Z= X1 + 2X2
Subject to; 2 X1+ 5X2 >= 10
X1 + X2 <=1
Where
X1, X2 >= 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48adcc3f-4114-472c-b259-caca9f51f2ba%2Fc9c6f44b-2611-46d8-b78a-0e1d694a6007%2Fgsoo9dp_processed.jpeg&w=3840&q=75)
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- In the context of evolutionary computing the goal function is known as the fitnessfunction and the problem is to maximize it. The typical formulation has to be changedin a simple way.min f (x) = − max[− f (x)] (4.9)Another requirement is that the goal function is positive.Phenotype evolution treats x as a phenotype and the goal function as the fitnessfunction. The typical framework for the method is as follows:Raghu and Sayan both like to eat (a lot) but since they are also looking after their health, they can only eat a limited amount of calories per day. So when Kuldeep invites them to a party, both Raghu and Sayan decide to play a game. The game is simple, both Raghu and Sayan will eat the dishes served at the party till they are full, and the one who eats maximum number of distinct dishes is the winner. However, both of them can only eat a dishes if they can finish it completely i.e. if Raghu can eat only 50 kCal in a day and has already eaten dishes worth 40 kCal, then he can't eat a dish with calorie value greater than 10 kCal.Given that all the dishes served at the party are infinite in number, (Kuldeep doesn't want any of his friends to miss on any dish) represented by their calorie value(in kCal) and the amount of kCal Raghu and Sayan can eat in a day, your job is to find out who'll win, in case of a tie print “Tie” (quotes for clarity). Input:First line contains number of test…You have a knapsack that can hold 10 pounds, which you can fill with any of these items. Object Weight (in pounds) $5 B C E 1. 2 3 4 Value (in dollars) $15 $30 $35 $24 In the Fractional Knapsack Problem, you are allowed to take f of each object, where f is some real number between 0 and 1. Your goal is to pick the objects that maximize the total value of your knapsack, with the condition that the chosen objects weigh at most 10 pounds. Determine the maximum total value of your knapsack.
- Rohan, the bookworm plans on reading 8 books by next week. But he only reads novels,poetry, short stories or science fiction. Interestingly he says, "My love for novels is twicethe love for the rest altogether ". He also claims, "Love for short stories = 3 x Love forscience fiction = 3 x Love for poetry". Taking these into account, determine theprobability that he reads 4 novels, 3 poetry and 1 short story or science fiction?One way to deternine how healthy a person is by measanng the body tat of the penson. The fomula to determine the body fit for female and muk are as follows Body fat formula for women: A1 = (body weight x 0732) + 8,987 A2 = wnist meastrement (at fullest point) /3.140 A3 = waist ineasurement (ar navel) x 0.157 A4= hip measurement (at fullest point) x 0249 %3D A5 forearm measurement (at fullest point) x 0.434 B= A1+ A2 - A3- A4 + A5 Body fat = body weight- B Body far percentage= body fat x 100/body weight Body fit formula for men Al - (body weght x 1082) + 94 42 A2-wnt meaurementx 4.15 8-AI - A2 Body fat= body weight- B %3D Body far percentage = body fat x 100/body weight %3D Write a progran to calculate the body fat of a person.find ( optimum solution) that maximum the sum 5x1 + 7x2 subject to the constraints below using: graphical method Max z = 5x1 +7x2 s.t. x1 = 0
- Solve the preemptive goal programming model written below via simplex algorithm. Min Z= Pldl* P2d2- + P3d3- 10x1 + 15x2 dl- dl+ 40 x1 x2 d2- d2+ 70 x2 d3- d3+ 7 х1 х2 di di* AIConsidering the function f(x) = x – cos(x), what is the value of x7 after performing fixed point iteration. Assume an initial guess of 1. Use the equation form that will seem fit according to the choices provided.Group of answer choices 0.72210 0.71537 0.76396 0.72236We examine a problem in which we are handed a collection of coins and are tasked with forming a sum of money n out of the coins. The currency numbers are coins = c1, c2,..., ck, and each coin can be used as many times as we want. What is the bare amount of money required?If the coins are the euro coins (in euros) 1,2,5,10,20,50,100,200 and n = 520, we need at least four coins. The best option is to choose coins with sums of 200+200+100+20.
- Correct answer will be upvoted else downvoted. There are n focuses on an endless plane. The I-th point has facilitates (xi,yi) to such an extent that xi>0 and yi>0. The directions are not really integer. In one maneuver you play out the accompanying activities: pick two focuses an and b (a≠b); move point a from (xa,ya) to either (xa+1,ya) or (xa,ya+1); move point b from (xb,yb) to either (xb+1,yb) or (xb,yb+1); eliminate focuses an and b. Notwithstanding, the move must be performed if there exists a line that goes through the new organizes of, another directions of b and (0,0). If not, the move can't be performed and the focuses stay at their unique directions (xa,ya) and (xb,yb), individually. Input The main line contains a solitary integer n (1≤n≤2⋅105) — the number of focuses. The I-th of the following n lines contains four integers ai,bi,ci,di (1≤ai,bi,ci,di≤109). The directions of the I-th point are xi=aibi and yi=cidi. Output :In the primary…You have N dollars and you have a list of k items L1, ..., Lk that you wish to purchase from an online store. If you purchase an item, then the online store gives you some reward points. For an item Li , 1<= i <= k, the price and reward values are Pi and Ri, respectively. Both Pi and Ri are integers. Unfortunately, there is a threshold T on the total reward you can earn. In other words, if the sum of reward values for the items you purchase is more than T, then any reward point beyond T will be wasted. Write an efficient algorithm (to the best of your knowledge) to find a list of items within N dollars such that purchasing them will maximize the sum of reward values but will keep the sum within the threshold T (Note: the sum can be equal to T). Briefly describe why it is a correct algorithm, provide pseudocode, and analyze the time complexity. Example: Input: N = 10, k = 3, T = 100, P = [4,6,5], R = [40,70,50] Output: L1, L3. Here is an explanation. Note that you have the…solve this
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