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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For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).
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Why does the solution show the starting point of P as (7,4) instead of (7,-4) as shown in the graph
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A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The market price for unicorn is $12 per pound, but is falling 10 cents per day. The rapidly growing unicorn is currently weighing 400 pounds and is expected to gain 5 pounds per day for the next two to three weeks. The costs to raise a typical unicorn are $5 per day plus $100 for a special unicorn harness and feedbag. What is the optimal time to sell the unicorn to the Jewel Riders? I need to use the Five Step Method for mathematical modeling. Ask the Question. The Question must be phrased mathematically and object must be stated in precise mathematical terms. List all variables and assumptions you are making about them. Do not confuse variables with constants in the problem. Check units for consistency. Select a modeling approach. This could be optimization in one or more variables, linear programming, or many other approaches available in the field of math. Formulate the model. Restate…
What is the end behavior of each of the following 1. y = -4x3 + 2x? + 7 2. y = 2x - 3x* + 4 3. y = -x³ + 2x5 – 1 4. y =Ox (x - 7)(x + 5)* (55 y = x(x + 1)(x - 8)
What is the end behavior of each of the following 1. y = -4x3 + 2x? + 7 2. y = 2x3 - 3x6 + 4 3. y = -x³ + 2x5 – 1 4. y =Ox (x - 7)(x + 5)* 5. y = x(x + 1)(x - 8)
If there are three kinds of cat food an experimenter will be feeding to cats and measueing the amount, they are feed, to then predict the number to active minutes the cat has in a day. They want to include the kind of cat food as a dummy variable. (a) Propose a scheme with 2 dummy variable in addition to the constant that would work and show it works? (b) Do the following propsed dummy variable schemes work? (show your work)
A farmer in the magical land of Avalon is raising a unicorn to sell to a band of Jewel Riders. The market price for unicorn is $12 per pound, but is falling 10 cents per day. The rapidly growing unicorn is currently weighing 400 pounds and is expected to gain 5 pounds per day for the next two to three weeks. The costs to raise a typical unicorn are $5 per day plus $100 for a special unicorn harness and feedbag. What is the optimal time to sell the unicorn to the Jewel Riders? P(x)= -.5x2+15x+4700 P'(x)= -x+15 p"(x)= -1 < 0 SENSITIVITY ANALYSIS: (This is the part I am a bit uncertain about. The questions below.) Any help is much appreciated. 1. Preform a sensitivity analysis of the optimal time to sell versus the variable cost to raise a unicorn (harness still $100). 2. So if the actual variable cost was $4.00 per day instead of $5.00 (20% decrease), what would you estimate for the best time to sell based on your sensitivity results? 3. Finally, substitute $4.00 for the variable…
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