same approa(3.8] Consider a maximization linear programming problem with extreme pointsX₁, X2, X3, and x4, and extreme directions d₁, d2, and d3, and with anobjective function gradient c such that cx₁ = 4, cx₂ = 6, cx3 = 6, cx4 = 3, cd₁= 0, cd₂ = 0, and cd3 = -2. Characterize the set of alternative optimal solutionsto this problem.ing linear programming problem:

Given: Let an objective function gradient c such that cx1=4, cx2=6, cx3=6, cx4=3, cd1=0, cd2=0 and…

Answered: same appr 13.8] Consider a maximization…

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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In solving a problem where 100 different products (100 real variables) are produced using just two resources (2 slack variables), then the combination that will yield the optimal profis A. to produce all 100 products if both resources are used to full capacity. B. to produce, at most 2 products. C. none of the choices are correct. D. to produce only one product.
6.2 5 please help with A B C
A linear programming problem is one that is concerned with finding the [Select] of a linear [Select] z = ax + by, where a and b do not both equal zero, and the [Select] variables and y are subject to the [Select] in the form of linear inequalities and equations. In addition, they must satisfy the nonnegative constraints of a > 0 and y ≥ 0. z of the form
1. . Solve the following linear programming model graphically: minimize Z = 3x, + 6x2 pubject to 3x1 + 2x2 s 18 X1 + x2 2 5 X2 s7 X2/x, s 7/8 X1, X2 0
A company manufactures two products. If it charges price p1 for product 1 and price p2 for product 2, it can sell quantities q1 = 55 − 3p1 + 2p2 and q2 = 75 + 2p1 − 2p2 for products 1 and 2, respectively. It costs the company $20 to produce a unit of product 1 and $65 to produce a unit of product 2. How many of product 2 should be produced to maximize profit?
A LP model is given as Max z = 3x1+ 2x2 Subj to 2x1 + 2x2 0 Obtain the dual of the model. Use the variables y1, Y2, Y3, · . . Objective function: Min w= Constraint 1: Constraint 2: With: >0
Formulate but do not solve the following exercise as a linear programming problem.A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $3 on each unit of Product A and $5 on each unit of Product B. To manufacture a unit of Product A requires 5 min on Machine I and 5 min on Machine II. To manufacture a unit of Product B requires 9 min on Machine I and 5 min on Machine II. There are 269 min available on Machine I and 205 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars? Maximize P = subject to the constraints Machine I Machine II x ≥ 0 y ≥ 0
Huhuhuu solve for me all plz .....
For this linear programming problem, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. i.e: Max Z = 500x + 300y Subject to: 4x + 2y <= 60 (1st constraint) 2x + 4y <= 48 (2nd constraint) x, y >= 0 (non-negativity) Problem: Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour respectively. Under certain production plan, the total number of items needed is at least 1,000 items, the total number of hours available for running the machines is at most 24 hours. If the hourly cost is ₽300 for machine A and ₽250 for machine B, how many hours should each machine be used in order to minimize the cost?
The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2.- Formulate a linear programming model to determine how much of each type of pipe should be produced to maximize contribution to profits and to overhead, assuming that everything produced can be sold.- Find the optimal solution algebraically for the Moldex Company problem. What is the Z value when the decision variables have optimal values?

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