b) Using the simplex method, examine and solve the problemc) Haven solved the problem in (b), identify the basic and non-basic variable and ifeach such variableenters the basic solution, determine the associated leaving variable.d) What will be your recommendation to management based on your solution in (b). Question 3Consider the following LP problem:МАX 40X, + 50X2Subject to:Х, + 2X, S 404X1 + 3X2 s 120X1, X2 2 0a) Create the initial simplex tableau

Note: According to Bartleby we have to solve the first three subparts of the given question please…

Answered: b) Using the simplex method, examine…

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 dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, and 2 units of fat, and will contain 40 calories. Each ounce of nuts will supply 2 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 50 calories. Every package must provide at least 2 units of protein, at least 13 units of carbohydrates, and no more than 16 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of calories? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? Z=
A manufacturer of skis produces two models: a regular ski and a slalom ski. A set of regular skis produces a $25 profit and a set of slalom skis produces a profit of $50. The manufacturer expects a customer demand of at least 200 pairs of regular skis and at least 80 pairs of slalom skis. The maximum number of pairs of skis that can be produced by this
There are 5 apples, 6 bananas, and 10 grapefruits in the produce section of a grocery store. The apples look identical. The bananas look identical. The grapefruits look identical. In how many ways can a fruit basket be filled with these fruits. The only constraint is the basket is not allowed to be empty. How does this question change if all the fruits looked different? In how many ways can the basket be filled then?
An individual needs a daily supplement of at least 405 units of vitamin C and 210 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 30 units of vitamin C and 14 units of vitamin E, while each ounce of food II contains 15 units of vitamin C and also 28 units of vitamin E. The total supplement of these two foods must be at most 33 ounces. Unfortunately, food I contains 24 units of cholesterol per ounce and food II contains 28 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized. Find the minimum amount of cholesterol. amount of food I oz amount of food II oz minimum cholesterol units
1
4. . Solve the linear equation systems 2x, +5x₂ + 2x, = -8 by using Crout method, where (x₁+2x₂ + 3x₂ = -3 fed arti hai (25) 3x₁ + x₂ + 5x₂ = 1 [1 2 3 -4 U = 0 1 001
A Virginia Beach farmer has 480 acres of land on which to grow either corn or soybeans. He figures he has 800 hours of 3) (а) labor available during the crucial summer season. The farmer can expect a profit of $40 per acre on corn and $30 per acre on soybeans. He knows that corn requires 2 hours per acre to raise, and soybeans require 1 hour per acre to raise. How many acres of each should he plant to maximize profit? What is his maximum profit x+2 (b) Graph the rational function R(x) =- x² -4 (c) Use the determinant or the Gaussian Elimination method to solve 2x +3y+z = -1 3x+3y + z = 1 2x + 4y+ z = -2
A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, and 2 units of fat, and will contain 40 calories. Each ounce of nuts will supply 3 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 50 calories. Every package must provide at least 3 units of protein, at least 7 units of carbohydrates, and no more than 12 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of calories? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized?
At Long John Silver’s (LJS), Platter 1 comes with 2 pieces of fish, 3 pieces of chicken, and 5 fried shrimp, while Platter 2 comes with 3 pieces of fish, 1 piece of chicken, and 8 fried shrimp. Platter 1 sells for 8 dollars and platter 2 sells for 10 dollars. If LJS has access to 1000 pieces of fish, 1200 pieces of chicken, and 2600 fried shrimp, what is the optimal number of platters LJS should make in order to maximize its profit? Note that the constraints relate to (please use these in order) fish, chicken, and shrimp. Note that problem 7 had three constraints (excluding the non-negativity constraints), and setting two pairs of those constraints to equality led to two extreme points on the feasible region. What INFEASIBLE point was at the intersection of the other pair of constraints? In the optimal solution to problem 7, the optimum was found at the intersection of two of the constraints that were not non-negativity constraints. Call these “binding” constraints. One of those…

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b) Using the simplex method, examine and solve the problem c) Haven solved the problem in (b), identify the basic and non-basic variable and if each such variable enters the basic solution, determine the associated leaving variable.