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Linear Programming

Linear Programming

6. Consider the linear programming problem: max 4x &#8722; 3y x + y <= 5 6x &#8722; 3y <= 12 x, y >= 0 The graph of the constraints is given below with the feasible region shown in grey. y-axis x-axis (a) Determine the coordinates of all four corner points of the feasible region and label them

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

Linear Programming

I wanted to make sure I came up with the correct answer. I need to find the minimum cost for the attached problem. I came up with 13,250 but not sure if that is correct. The contract calls for 10,000 hoses.

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

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

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 <

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 and Profit Function

An industrial home-improvement shop produces custom atrium arches, window frames, and doors. These products are made from mahogany and maple wood. The cost per square foot of mahogany is $ 38 and per square foot of maple is $ 19. The doors are seven feet tall and 4 feet wide and are 50% mahogany and 50% maple. The window

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

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.

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), 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: Finding Maximum Profit

Question: 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 c

Linear Programming Model

Golf Shafts Inc (GSI) produces graphite shafts for several manufacturers of golf clubs. Two GSI manufacturing facilities one located in San Diego and the other in Tampa, have the capability to produce shafts in varying degrees of stiffness ranging from regular models used primarily by average golfers. GSI just received a contrac


See attached file for full problem description. 13. Diet Mix Problem 1 The dietician for the local hospital is trying to control the calorie intake of the heart surgery patients. Tonight's dinner menu could consist of the following food items: chicken, lasagna, pudding, salad, mashed potatoes and jello. The calories per s

Feasible or not feasible solutions

1. Linear Programming Properties Which of the following statements is not true? a) An infeasible solution violates all constraints. b) A feasible solution point does not have to lie on the boundary of the feasible solution. c) A feasible solution satisfies all constraints. d) An optimal solution satisfies all constraints

Linear Programming Models

Steelco manufactures two types of steel at three different steel mills. During a given month, each steel mill has 200 hours of blast furnace time available. Because of the differences in the furnaces at each mill, the time and cost to produce a ton of steel differ for each mill, as listed in the file P04_62.xls. Each month Steel

Quantitative Analysis - 50 Multiple choice Questions

1. Which of the following is not a reason for the failure of a particular Quantitative analysis technique in solving a problem? a. underestimating the total cost of using quantitative techniques b. failure to define the real problem c. under-emphasis on theory and over-emphasis on application d. underestimating the total