a. Set up the initial simplex tableau for this linear programming problem.b. Use the simplex method to solve the linear programming problem.Maximize z = 8x₁ + 2x₂ + x3subject to:witha. Set up the initial simplex tableau.x2S20X₁1x₁ + 3x2 + 10x3 ≤ 116X₁ + 2x₂ + 11x3 ≤250X₁ ≥ 0, X₂ ≥ 0, X3 ≥ 0.- 2X311100 0b. The maximum is(Simplify your answers.)when X₁=Z001250x₂ = ₁ and X3=FABU3:18to [] para a apaan va

Answered: Image /qna-images/answer/fe44874f-b3cd-4f11-b077-c860847c3d0d.jpg

Answered: a. Set up the initial simplex tableau…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Solve the following linear programming problem. Maximize: z = 3x+4y subject to: 4x + 3y ≤ 12 6x + y ≤ 12 x20, y 20 The maximum value is 16. 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.)
Solve the linear programming problem a. Mrs. Reyes intense to make 500 boxes of chocolates with brand (or class) A, B, and C. It costs him P 60 for box A, P 40 for box B, and P 20 for box C. He has a maximum of P 20,000 to spend. If he makes a profit of P 40 for box A, P 20 for box B, and P 10 for box C, how many boxes of each kind should he make?
Let x represent the number of standard models made and let y represent the number of deluxe models made. Write the inequality that best describes the finishing time constraint Show your work!
State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A car repair shop blends oil from two suppliers. Supplier I can supply at most 48 gal with 3.6% detergent. Supplier II can supply at most 66 gal with 3% detergent. How much can be ordered from each to get at most 100 gal of oil with maximum detergent? OA. Maximize 0.030x + 0.036y Subject to: xs48 y≤ 66 x+y≤ 100 OC. Maximize 48x + 66y Subject to: x248 y266 0.036x +0.03y2 100 OB. Maximize 0.036x+0.03y Subject to: 0≤x≤48 0sys 66 x+ys 100 D. Maximize 48x + 66y Subject to: xs48 y≤ 66 0.036x +0.03y ≤ 100
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…
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.)
Formulate a linear programming problem that can be used to solve the following question. A company has three plants that produce three different sizes of their product. The North plant can produce 2000 items in the small size, 2000 in the medium size, and 1000 in the large size. The Center plant can produce 1000 items in the small size, 2000 in the medium size, and 2000 in the large size. The South plant can produce 1000 items in the small size, 1000 in the medium size, and 1000 in the large size. The company needs to produce at least 8000 of the small items, 9000 of the medium items, and 7000 of the large items on a given day. The cost of producing the small item is $3, the medium item $5, and the large item $4. Find the number of items each plant should produce in order to minimize the cost. Let X₁, X₂, and x3 be the number of small, medium, and large items produced by the North Plant, respectively. Let Y₁, 2, and y3 be the number of small, medium, and large items produced by the…
Use the simplex method to solve the linear programming problem. Maximize subject to: A. The maximum is when x₁ = ₁ X₂ = ₁ S₁ = (Type integers or simplified fractions.) B. There is no maximum. with z = 10x₁ + 12x2 , S₂ = 4x₁ + 2x₂ ≤24 6x₁ + x₂ ≤50 2x₁ + 2x₂ ≤26 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. X₁ ≥ 0, X₂ ≥ 0 and s3 =
Formulate but do not solve the following exercise as a linear programming problem. A financier plans to invest up to $400,000 in two projects. Project A yields a return of 10% on the investment of x dollars, whereas Project B yields a return of 13% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, the financier has decided that the investment in Project B should not exceed 40% of the total investment. How much should she invest in each project to maximize the return on her investment P in dollars? MaximizeP= subject to the constraints ? amount available for investment? allocation of funds?
Find the solution to the following linear programming problem using the simplified method: Max Z: 5X1 + 10X2S.T X1 + 3X2 ≤ 62X1 + 2X2 ≤ 4x1, x2 ≥ 0
Formulate a linear programming problem that can be used to solve the following question. An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 70 first-class, 52 tourist, and 108 economy-class passengers. The first plane costs $4100 for the trip and can accommodate 36 first-class, 16 tourist, and 18 economy-class passengers; the second plane costs $4800 for the trip and can accommodate 8 first-class, 10 tourist, and 42 economy-class passengers; the third plane costs $6300 for the trip and can accommodate 18 first-class, 36 tourist, and 16 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? X = ---Select--- y = ---Select--- ---Select--- Z |||| ---Select--- | F = AC UB Subject to X ---Select--- 0, y ---Select--- (objective function) (first-class passengers) (tourist passengers) (economy-class passengers) 0, z ---Select--- 0 (nonnegativity constraint)
Use Excel to solve the linear programming problem.At one of its factories, a manufacturer of televisions makes one or more of four models of HD units (without cases): a 20-in. LCD, a 42-in. LCD, a 42-in. plasma, and a 50-in. plasma. The assembly and testing time requirements for each model are shown in the table, together with the maximum amounts of time available per week for assembly and testing. In addition to these constraints, the supplier of cases indicated that it would supply no more than 290 cases per week and that of these, no more than 40 could be for the 20-in. LCD model.Use the profit for each television shown in the table to find the number of completed models of each type that should be produced to obtain the maximum profit for the week. Find the maximum profit. 20-in. LCD sets 42-in. LCD sets 42-in. plasma sets 50-in. plasma sets profit $ 20-in.LCD 42-in.LCD 42-in.Plasma 50-in.Plasma TotalAvailable Assembly time…

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS