Solve the linear programming problem.MaximizeP = 40x + 50y problemMaximizePc YOx t 50ySulject to 2x+ y< l6メ+2y< M

We have to find the maximum value of p

Answered: Solve the linear programming problem.…

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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A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 5 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $45, and the profit for each chair is $26. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. How many tables and chairs should Winston manufacture to maximize its profit? tables chairs What is the maximum profit?$
Solve the linear programming problem. Maximize P = 8x + 8y Subject to example E L 2x+y ≤ 10 x+2y ≤ 8 x, y ≥ 0 Get more help. O SAIL L SP 11 W Select the correct choice below and fill in any answer boxes present in your choice. What is the maximum value of P? OA. P= 144 (Type an integer or a fraction.) O B. There is no maximum value of P. a $ 0 G Clear all Check answer 82°F ^ @ ✨³ ( 4») 11:09 PM 8/15/2022
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Solve the linear programming problem. Maximize 2=15x15 Subject to 8x+7y 2 128. 13x-11y 2 29 x+y s 41 xy 20 What is the maximum value of z? Select the correct choice below and fill in any answer boxes present in your choice. A z=615 (Type an integer or a fraction.) OB. There is no maximum value of z. At what comer point(s) does the maximum value of z occur? Select the correct choice below and fill in any answer boxes present in your choice ⒸA. The maximum value of z occurs at the corner point(s) (Type an ordered pair. Use a comma to separate answers as needed.) OB. There is no maximum value of z.
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 48 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $200 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and brake replacements every week to maximize his weekly income.
Use the simplex method to solve the linear programming problem. Z = X₁ +4x₂ + x3 + 5x4 X₁ + 8x₂ + 5x₁ + x₂ + x₁20, X₂20, X3 20, x4 20 80 F3 Maximize subject to 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum is OB. There is no maximum. View an example Get more help. 22 श्री R F % 5 t x3 + x4≤10 3x3 + x4 ≤200 G 6 when x₁ = Y H & 7 x₂ = U X3 = * 8 ▶II X4 = · ( 9 K S₁ = and $₂ =. Clear all O 0 L F10 P Check answer 4) + ||
Solve the linear programming problem using the simplex method. Maximize P = -x₁ + 2x₂ subject to x₁ + x₂ ≤2 -X₁ + 3x₂ ≤18 X₁-4x2 ≤8 X₁, X₂ 20 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum value of P is P= (Simplify your answers.) OB. There is no optimal solution. when x₁ = *** and X₂=

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Solve the linear programming problem. Maximize P = 40x + 50y