5. Find the indicated maximum or minimum value of the objective function in the linearprogramming problem.Maximize f=50x + 70y subject to the following.+2548yX+y 302+ ≤y 50Xx20, y20f=

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Answered: 5. Find the indicated maximum or…

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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An investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields 7%. The investor requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x= dollars invested in bond Ay= dollars invested in bond B Compute x+y. $ . Round to the nearest cent. Investor Matt has $152,000 to invest in bonds. Bond A yields an average of 9.2% and the bond B yields 8.4%. Matt requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. What is the maximum return? $ per year. Round to the nearest cent. Investor Dan has $607,000 to invest in bonds. Bond A yields an average of 8.5% and the bond B yields 8.4%. Dan requires that at least 4 times as much money be invested in bond A as in…
Solve the following linear programming problem. Maximize: z= 8x+10y subject to: 2x + 7y≤ 14 8x + y ≤ 14 x ≥0, y ≥0 The maximum value is
Use graphical methods to solve this linear programming problem. OA. The maximum value is (Simplify your answer.) OB. There is no maximum. Maximize subject to: ... What is the maximum value of z? Select the correct choice below, and if necessary, fill in the answer box to complete your choice. z = 5x + 6y 2x-3y ≤ 12 x + y24 3x + 4y ≥ 32 x20 y20 At what point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value of z occurs only at the point(s) OC. There is no maximum value of z. (Type an ordered pair. Use a comma to separate answers as needed.) OB. The maximum value of z occurs at the points and at all points on the line segment connecting them. (Type an ordered pair. Use a comma to separate answers as needed.)
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
3. Solve the following linear programming problem. Maximize: z= 4x + 5y Subject to: x+ys4 x-y2-2 x<3 x20, y 20
Solve the linear programming problem. Maximize and minimize z = 4x + 5y Subject to attempted 2x + y ≥ 30 x + 2y 2 24 x, y 20 What is the maximum value of z? Select the correct choice below and fill in any answer boxes present in your choice. OA. Z= (Type an integer or a fraction.) OB. There is no maximum value of z. What are the coordinates of the corner point where the maximum value of z occurs? Select the correct choice below and fill in any answer boxes present in your choice. OA. The coordinates are (Type an ordered pair.) OB. There is no maximum value of z.. What is the minimum value of z?
1a and 2a please written out
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Find the corner point that gives the optimal solution for the objective profit function.
Solve the following linear programming problem. z = 2x + 7y 5x + 4y ≤ 20 8x + y ≤ 20 x ≥ 0, y 20 Maximize: subject to: The maximum value is The maximum occurs at the point (Type an ordered pair. If the maximum occurs at more than one point, type either answer. Type an integer or a fraction.)

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5. Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f=50x + 70y subject to the following. +25 48 y X + y 30 2+ X x20, y20 f= ≤ y 50