Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Solve the linear programming problem.
Maximize
P = 40x + 50y
Transcribed Image Text:problem
Maximize
Pc YOx t 50y
Sulject to 2x+ y< l6
メ+2y< M
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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 $26. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. How many tables and chairs should Winston manufacture to maximize its profit? tables chairs What is the maximum profit?$arrow_forwardSolve 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 8/15/2022arrow_forward6 what are the coordinate ?arrow_forward
- only HANDWRITTEN answer needed ( NOT TYPED)arrow_forwardKevin 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.arrow_forwardUse 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) + ||arrow_forward
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