Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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use graphical methods to solve the linear programming problem.
Minimize z = 4x +5y subject to 2x-4y less than or equal to 10, 2x+y greater than or equal to 0, and y greater than or equal to 0
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- Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 2800 board feet of wood available and 560 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0arrow_forwardSolve the following linear programming problem. STEPS PLEASE Maximize P = 4x + 5y Subject to: 2x - 4y ≤ 10 2x + and ≥ 15 x, y ≥ 0arrow_forwardSolve the linear programming problem. Maximize P = 4x + 4y Subject to 2x+ys 20 x + 2y ≤ 16 x, y 20arrow_forward
- Just make the linear programming model of the next exercise: A company manufactures and sells two lamp models L1 and L2. For its manufacture, a manual work of 30 minutes is needed for the L1 model and 45 minutes for the L2, and a machine work of 25 minutes for L1 and 15 minutes for L2. 150 hours per month are available for manual work and 120 hours per month for the machine. Knowing that profit per unit is $150 and $100 for L1 and L2 respectively, plan production to maximize profit. Please be as clear as possible and show all the steps. Thank you very mucharrow_forwardFormulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 5 labor-hours. In a certain week, the company has 2800 board feet of wood available and 500 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0arrow_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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