Determine the corresponding linear system and restate the linear programming problem in terms of the linear system. Maximize 7x+12y subject to the listed constraints.25x+34y ≤ 3,00047x+12y ≤ 4,000x20y20Write the initial system for the linear programming problem.y+ u = 3,000y+v = 4,000x +v +M = 0x≥ 0, y 20, u≥0, v≥0x+x +

Answered: Determine the corresponding linear…

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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Use the simplex method to solve the linear programming problem. Maximize z=3x, +5x2 subject to: x, -4x2 5 55 4x, - 2x2 5 33 X, 20, x2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answers.) O A. The maximum is when x1 = and x2 = O B. There is no maximum.
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 ≥ 0
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.
Solve the linear programming problem. Maximize P = 4x + 4y Subject to 2x+ys 20 x + 2y ≤ 16 x, y 20
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 much
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 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 ≥ 0
A farmer wishes to buy some goats and cows. He has pasture for only 50 animals. Goats cost $300 each and cows $600 each. He can expect to make a profit of $250 on each goat and $350 on each cow. If he has $24000 to spend and he buys g goats and c cows, I. Formulate a linear programming model for this situation. II. Using a graph, find the numbers of goats and cows that will maximize profit. III. State the maximum profit.
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