Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)5x + 11у4x + бу 3 137x + 4y 3 13x 2 0, y z 0.Maximize C =subject toanda. What is the optimal value of x?0.000b. What is the optimal value of y?3.250c. What is the maximum value of the objective function?Maximum value

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Answered: Find the optimal solution for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q8: Sarah is about to take a math test that contains short answer questions worth 4 points each and word problems worth 7 points each. She is required to do at least 5 short answer problems, but no more than 10. She must do at least 3 word problems, but no more than 10. She is required to do at least 9 problems of types, but no more than 18. Formulate this problem to maximize her score.
K b. Consider the following constrained maximization problem: The objective function is: f(x,y) = x Maximize the objective function subject to the constraint: 2x + 9y = 396 What is the slope of the level set of the objective function? (This is a fraction with an integer times y over an integer times x. The value in the numerator is negative.) 6 11 What is the slope of the constraint line? (This is negative and a fraction with no variables.) What is the relationship between x and y? (The answer is a fraction.) y=x What are the optimal values of x and y? irrect: 0
Q2. Complete the following iteration tableau of Maximization problem of LPP and comment on the nature of the optimal solution. Basic variables XI Cbi X2 $2 Solution 51 $3 2 -1 30 XI X2 20 $2 gzi 1. 1,
Linda is renting a space for a family reunion. The total cost of the rental space where p number of people attend is modeled by the linear function C(p) = 12p + 300. Linda wants to spend no more than $1500 for the party. Which constraint applies to the function so it realistically models the scenario? ?
Find the values of x and y that maximize the objective function P=3x+2yP=3x+2y for the graph. What is the maximum value?
Mr. Hamed wants to purchase existing car wash business. The purchase cost is 5069 R.O and variable cost per car is estimated to be 149 R.O. In addition, he knows that the price of each car comes from the profit function P(x) = 159x – 5069. %3D a. How many cars must be washed to recover the purchase price. 1669 + 89x2 , find the minimum b. If the revenue function now is expressed by R(x) profit value Mr. Hamed can gain.

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