For what values of C2 would (2, 6) be optimal? Explain what this means in a "real world interpretation" with words. Problem 5Consider the famous Hydit-Filit problem, but with c₂ the coefficient of x2 in the objective function.Max: Z(x):s.t.=140x₁+2x₁ +5X1 +X1X1C2 X24x2 < 285x2 ≤ 50≤8X2ΔΙΔΙX260

Given Problem: Maximize Zx=140x1+c2x2 such that, 2x1+4x2≤28 5x1+5x2≤50 x1≤8, x2≤6 x1≥0, x2≥0 To…

Answered: Consider the famous Hydit-Filit…

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.
9.
Please use R-programming. Please provide the source code that makes the program run, and then screenshot the output. Question: Suppose a parallel reliability system consists of cables of wires holding a bridge andthat one of them must have at least 90 wires. If the reliability of a single wire is 0.25 what is a minimal number of wires counted from 90 (or more) should that cable have in order to maintain the reliability of the system to at least 0.95?
2. Simon knows that at $30 per ticket, 500 tickets to a show will be sold. He also knows that for every $1 increase in price, 10 fewer tickets will be sold (see equation). Revenue = (price per ticket)(number of tickets sold) R(x)= (30+ x) (500 - 10x) R, represents Revenue from ticket sales, x represents number of $1 price increases (Hint: complete the square) Use the equation of the function above modelling revenue from ticket sales to determine the following: a) Ticket price that will maximize revenue b) The maximum revenue
3. Jack and Jill work at the same store. Jack's total weekly salary, in dollars, if he sells x items is given by S= = 100 + 5x, and Jill's total weekly salary, in dollars, if she sells x items is given by S = 80 + 6x. If they sell the same number of items in a week, what is the minimum number of items they have to sell so that Jill's weekly salary is at least $300 more than Jack's? Ver

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Consider the famous Hydit-Filit problem, but with c₂ the coefficient of x2 in the objective function. Max: Z(x)= 140x₁+ s.t. 2x₁ + 5x,+ XI XI C2 X2 4x2 ≤28 5x2 ≤ 50 ≤8 X26 ≥ 0 X2 ≥ 0