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# Linear Programming

### Linear Programming: Maximizing Revenue

Problem 3 Consider the following linear programming problem: Max Z = \$15x + \$20y Subject to : 8x + 5y <= 40 0.4x + y >= 4 x, y >= 0 Determine the values for x and y that will maximize revenue. See the following attached file.

### Optimal Transhipment Plan as Linear Programming Model

Please help to understand the study guide and see how we arrive at these solutions - see attachments.

### Definitions of the Linear Programming Formulation Variables

I need some help understanding the following: Definitions of the Linear Programming Formulation Variables The Objective Function. The Constraints This needs to be explain in ms-word

### Margaret Black's family owns five parcels of farmland broken into a southeast sector, north sector, northwest sector, west sector, and southwest sector.

Margaret Black's family owns five parcels of farmland broken into a southeast sector, north sector, northwest sector, west sector, and southwest sector. Margaret is involved primarily in growing wheat, alfalfa, and barley crops and in currently preparing her production plan for next year. The Pennsylvania Water Authority has ju

### Woofer Pet Foods Vitamin Content

Woofer Pet Foods produces a low-calorie dog food for overweight dogs. This product is made from beef products and grain. Each pound of beef costs \$0.90, and each pound of grain costs \$0.60. A pound of the dog food must contain at least 9 units of Vitamin 1 and 10 units of Vitamin 2. A pound of beef contains 10 units of Vitamin 1

### Linera Programming : Matrix Methods: finding inverse, transpose and determinant. Solve a linear system by Gaussian ellimination and Cramer's rule.

1. Matrix methods can be used to solve linear programming problems. A linear programming problem is used to find an optimal solution, subject to stated restraints. For example, consider an accountant who prepares tax returns. Suppose a form 1040EZ requires \$12 in computer resources to process and 22 minutes of the accountant'

### Assignment Linear Programming

I think I figured this one out but wanted to be sure. I came up with 24. I have attached the problem. The table above represents the average number of sales for each of three people (A, B, C) at each of four stores (1, 2, 3, 4). With three people and four stores, assigning one person per store will mean that one store is clo

### Trasportation Linear Programming

Here is a review problem for my exam. Having trouble with setting up the Excel spreadsheet. Determine how many cases should be shipped from Factory C to Assembly Plant 3. I have attached the problem (see attachment).

### Transshipment Linear Programming

Please help in solving a review problem for a final exam. I am having trouble setting up the problem in Excel. The goal of the problem is to find the minimum transportation cost associated with the network. I have attached a diagram (see the attachment). The following diagram shows a transshipment network. Nodes 1, 2, and 3

### Linear Programming : Objective Function

Question: A croissant shop produces 2 products: bear claws (B) and almond filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS (tablespoons) of almond paste. An almond- filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of f

### Ye Olde Cording Winery in Peoria, Illinois, makes three kinds of authentic German wines: Heidelberg Sweet, Heidelberg Regular, and Deutschland Extra Dry.

Hi, Could you please assist with the question attached. Regards Q1 - Linear Programming Ye Olde Cording Winery in Peoria, Illinois, makes three kinds of authentic German wines: Heidelberg Sweet, Heidelberg Regular, and Deutschland Extra Dry. The raw materials, labour, and profit for a 5 litre container of each

### Quantitative Methods/Linear Problem - Mary Kelly is a scholarship soccer player at state university.

Mary Kelly is a scholarship soccer player at state university. During the summer she works at youth allsports camp that several universitie's coaches operate. the sports camp runs for 8 weeks during July and August. Campers come for one week period, during which time they live in the State dormitories and use the state athlectic

### Quantitative Methods : Linear Programming

1. For the linear program: Max 4A + 1B s.t. 10A + 2B < 30 3A + 2B < 12 2A + 2B < 10 A, B > 0 a. write this in standard form. b. solve the problem using the graphic solutions procedure. c. what are the values of the three slack variables at the optimal solutions? 2. Consider the follwoing linear program: Min 2A

### Quantitative Methods - Linear Program Graphic Solution Procedure

1. For the linear program: Max 2A + 3B s.t. 1A + 2B < 6 5A + 3B < 15 A,B > 0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? 2. Solve the following linear program using the graphical solution procedure. Max 5A + 5B s.t. 1A <

### Linear Programming Models with Constraints

1. Which of the following mathematical relationships could be found in a linear programming model? And which could not (why)? a. -1A + 2B < 70 b. 2A - 2B = 50 c. 1A - 2B2 < 10 d. 3 squareroot A + 2B > 15 e. 1A + 1B = 6 f. 2A + 5B + 1AB < 25 2. Find the solutions that satisfy the following const

### Vector Space Axioms, Zero Element and Geometric Method of Linear Programming

Please see the attached file for the fully formatted problems. 1) Let R+={x/0<x} (that is, the set of positive real numbers). Define the operation of addition on this set by x+y=xy. Show that with this definition there is a zero element, and that every x in R+ has an inverse. Determine what the zero element is, and for any gi

### Linear Programming - Staffing

How would you define in linear programming format that an employee has to work 5 consecutive days, and then has 2 days off?

### Linear Programming Model - A Company produces two products, A and B, which have profits of \$9 and \$7, respectively.

A Company produces two products, A and B, which have profits of \$9 and \$7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. _________________________ Hours/Unit _________________ Product Line 1 Line 2 ____________

### Subsets, Projection Maps, Basis and Direct Sums

Let n >= 1. Define the subsets U and W in V = F^n as follows: U = {(x_1, . . . , x_n) : x_1 + . . . + x_n = 0} W = {(x_1, . . . , x_n) : x_1 = . . . = x_n} a) Prove that U and V are subspaces of V . b) Prove that V = is the "direct sum" of U and W. c) Let (v_1, . . . v_n) = ((1, 0, . . . , 0), (0, 1, . . . , 0), . . . ,

### Linear programming

I'm not sure how to go about finding the optimal solution for part a and b ( please see the attached file it includes my partial solution to the question)

### Quantitative Methods - Tom's Inc.

Tom's Inc., produces various Mexican food products and sells them to Whole Foods, a chain of grocery stores located in the United States. Tom's Inc. makes two salsa products: Whole Foods Salsa and Mexico City Salsa. The two products have different blends of whole tomatoes, tomato sauce, and tomato paste. The Whole Foods Salsa

### Linear programming: The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2.

The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2. Max 2x1 + x2 s.t. 4x1 + 1x2 < 400 4x1 + 3x2 < 600

### Constraints: The LP problem whose output follows determines how many necklaces, bracelets, rings, and earrings a jewelry store should stock. The objective function measures profit; it is assumed that every piece stocked will be sold.

The LP problem whose output follows determines how many necklaces, bracelets, rings, and earrings a jewelry store should stock. The objective function measures profit; it is assumed that every piece stocked will be sold. Constraint 1 measures display space in units, constraint 2 measures time to set up the display in minutes.

### Computing the Dual Prices for Optimal Linear Program Solution

The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2. Max 2x1 + x2 s.t. 4x1 + 1x2 < 400 4x1 + 3x2 < 600

### Linear Programming Objective Function

Which of the following could be a linear programming objective function? Z = 1A + 2B / C + 3D Z = 1A + 2BC + 3D Z = 1A + 2B + 3C + 4D Z = 1A + 2B2 + 3D all of the above.

### Slope of Objective Function

In a linear programming problem, the binding constraints for the optimal solution are 5X + 3Y < 30 2X + 5Y < 20. Fill in the blanks in the following sentence: As long as the slope of the objective function stays between _______ and _______, the curren

### Linear Programming

The owner of Chips etc. produces 2 kinds of chips: Lime (L) and Vinegar (V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of salt, 6 ounces of flour, and 1

### Linear programming

The linear programming problem whose output follows is used to determine how many bottles of fire red nail polish (x1), bright red nail polish (x2), basil green nail polish (x3), and basic pink nail polish (x4) a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be sol

### Linear programming

The linear programming problem whose output follows is used to determine how many bottles of fire red nail polish (x1), bright red nail polish (x2), basic green nail polish (x3), and basic pink nail polish (x4) a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be so

### Linear Programming

Cully furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs \$500 and requires 100 cubic feet of storage space, and each medium shelf costs \$300 and requires 90 cubic feet of storage space. The company has \$75000 to invest in shelves this week, and the warehouse has 18000 cubic feet