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# Linear Programming

### TWO QUESTIONS ON LINEAR PROGRAMMING

The problems/questions below must be answered by using these steps: a. Formulate linear program b. Calculate constraint intercepts c. Graph Lines d. Use test values to find feasible region e. Identify corner points f. Substitute corner points into objective function g. Identify the solution ______________________

### Graphing

I need help with the following problems. As much detail you can give me to help me understand how to work the problems would be great. 1. Henry is raising money for the homeless animals, and discovers each shelter requires 2 hours of volunteer service and 1 hr of contacting possible owners, which each homeless shelter need

### Determine Optimal Solution and Objective Funtion Value

Problem 1 consider the following problem: Min x + 2y s.t. x+4y<=21 2x+y>=7 3x+111.5y<=21 x,y >= 0 Using the graphical method, determine the optimal solution and the optimal objective function value. You must provide a graph indicating the feasible region, an objective function line, the optimal direction and the opti

### Mechanics and velocity of bouncing ball

If possible, the program needs to work without any added input. A ball is dropped with a velocity v0 at an angle a with the vertical onto the top step of a flight of stairs consisting of 8 steps. The ball rebounds and bounces down the steps as shown. Each time the ball bounces, at points A, B, C, . . . , the horizontal compon

### Linear Programming: Roylon Corporation

Rylon Corporation manufactures Brute and Chanelle perfumes. Raw material costs \$3.00 per pound to process. Processing a pound of raw material takes one hour of laboratory time, and yields 3 ounces of regular Brute and 4 ounces Regular Chanelle perfume. Regular Brute can be sold for \$7/ounces, and Regular Chanelle can be sold for

### Linear Programming

Jillian Scott sells three items. A, B and C in a gift shop. Each unit of A costs her \$5 to buy, \$1 to sell and \$2 to deliver. For each unit of B, the costs are \$3, \$2, and \$1 respectively, and for each unit of C, the costs are \$6. \$2, and \$5 respectively. The profit on A is \$4; on B \$3 and on C \$3. How many of each should she or

### High Tech Services - Linear Programming Model

Management of High Tech Services (HTS) would like to develop a model that will help allocate their technicians' time between service calls to regular contract customers and new customers. A maximum of 80 hours of technician time is available over the two week planning period. To satisfy cash flow requirements, at least \$800 in

### Beginning Linear Programming Question

Question 4: Applied Technology, Inc (ATI), produces bicycle frames using two fiberglass materials that improve the strength-to-weight ratio of the frames. The cost of the standard grade material is \$7.50 per yard and the cost of the professional grade material is \$9.00 per yard. The standard and professional grade materials c

### Beginning Linear Programming Question

Question 3: Blair & Rosen, Inc (B&R), is a brokerage firm that specializes in portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of \$50,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an i

### Linear programming: Modeling examples

The law firm of Smith, Smith, Smith, and Jones is recruiting at law schools for new layers for the coming year. The firm has developed the following estimate of the number of hours of casework it will need its new lawyers to handle each moth ofr the following year: Month casework(hr.) month casework (h

### Problem

You can use either Excel/solver or QM for windows to solve the problem Brooks City has three consolidated high schools,each with a capacity of 1,200 students. THe school board has partitioned the city into five busing districts north, south, east, west and central each with different high school student populations. The three

### Linear Programming using Excel Solver or QM for Windows

4. Solve the following mixed integer linear programming model by using the computer Maximize Z = 5X1 +6X2 + 4X3 Subject to 5X1 +3X2 + 6X3 &#8804; 20 X1 + 3X2 + &#8804;12 X1, X3 &#8805;0 X2 &#8805;0 and integer 6. Brooks City has three consolidated high schools, each with a capacity of 1,200 students. The schoo

### Linear Program For an Investment Using Excel Solver

Please solve the following problem in Excel 97-2003 using solver. Please show detailed breakdown of the problem to answer the following questions. A credit union wants to make investments in the following: Type of Investment Annual Rate of Return (%) _______________________________________________ Vehicle Loans

### Linear program Investment

Please solve the following problem in Excel 97-2003 using solver. Please show detailed breakdown of the problem to answer the following questions. A credit union wants to make investments in the following: Type of Investment Annual Rate of Return (%) _______________________________________________ Vehicle Loans

### Linear program transportation example

Please solve the following transportation problem using Excel 97-2000 using solver. Please post the Excel spreadsheet that answers the following questions. A logistic specialist for Wiethoff Inc. must distribute cases of parts from 3 factories to 3 assembly plants. The monthly supplies and demands, along with the per-case t

### Linear Integer Programming Model

The Livewright Medical Supplies company has a total of 12 salespeople it wants to assign to three regions the south, the east, and the Midwest. A salesperson in the south earns \$600 in profit per month for the company, a salesperson in the east earns \$540, and a salesperson in the Midwest earns \$375. The southern region can have

### An Integer Programming Model That Minimizes the Total Cost

Consider a capital budgeting problem with 5 projects from which to select. Let Xi = 1 if project i is selected, 0 if not, for i = 1, 2, 3, 4, 5. Projects cost \$100, \$200, \$150, \$75, and \$300 respectively. The decision-maker must choose no fewer than 3 projects, and if project 3 is chosen, then project 4 must also be chosen. Fu

### Formulation of Linear Programming Problem

Convert the following to a maximization problem. Minimize: w = 2x + 3y + 5z Subject to: x + y + z &#8805; 5 X + y &#8805; 7 2x + y + 3z &#8805; 6 Do not need to solve. Just answer with the maximization problem.

### Kinematics and Tension of a Pulley

The position of the L- shaped rod shown is controlled by a cable attached at B. Knowing that the rod supports a load of magnitude P = 50 lb, write a computer program that can be used to calculate the tension T in the cable for values of O from 0 to 120° using 10° increments. Using appropriate smaller increments, calculate the

### Linear Programming

Lawns Unlimited is a lawn care and maintenace company. One of its services is to seed new lawns as well as bare or damaged areas in established lawns. The company uses three basic grass seed mixes it calls Home 1, Home 2, and Commerical 3. It uses three kinds of grass seed tall fescue, mustang fescue, and bluegrass. The requirem

### Quantative Methods

A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and prduct 2 requires 3 hours. The profit for product 1 is \$6 per u

### Solving Linear Programming using QM for windows or Solver in Excel

Formulate a linear programming model for the below set of problems. For those problems, solve the linear programming model by using the computer. You can use either QM for Windows or Solver (in Excel) to solve these problems. If using QM for Windows, you can capture the results and a graph in one of two ways: ? By doing a

### Need the following problem solved using excel (See attachments).

Using Excel, Solve for the following: The manager of a Burger Doodle franchise wants to determine how many sausage biscuits and ham biscuits to prepare each morning for breakfast customers. Each type of biscuit requires the following resources... (See attachments).

### Quantative Methods

Problems A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1

### Linear Programming

A. Two variable - maximization problems 1. Maximize z = 16x + 8y subject to: 2x + y &#8804; 30 x + 2y &#8804; 24 x &#8805; 0 y &#8805; 0 a.Graph the feasibility region. b.Identify all applicable corner points of the feasibility region. c.Find the point(s) (x,y) that maximizes the objective function z = 16x + 8

### Batteries vs. Power Plants

(This question has little to do with optimization; it's just about the electric power industry). Visit http://www.midwestiso.org/page/LMP+Contour+Map+%26+Data and look up the 5-minute real-time "LMP" (Locational Marginal Price) at the location DECO.MONROE3 I think that's the large coal-fired power plant in Monroe, MI. The LMP i

### Formulate an NLP

The energy used in compressing a gas in 3 stages from an initial pressure "I" to a final pressure "F" is given by the formula K*(sqrt(p1/I) + sqrt(p2/p1) + sqrt(F/p2) - 3) where K is some arbitrary positive constant. Formulate an NLP whose solution describes how to minimze the energy used in compressing the gas. a) Using

### From Winston. travel from New Jersey to New York City

Each morning during rush hour, 10,000 people want to travel from New Jersey to New York City. If a person takes the subway, the trip lasts 40 minutes. If x thousand people per morning drive to NYC, it takes 20+5x minutes to make the trip. This problem illustrates a basic fact of life: if people are left to their own devic

### Linear programming

Please answer these 3 questions. Write a word or phrase that best completes each statement .... Rewrite the objective function into a maximazation function .... Each day, Larry needs atleast 10 units of Vitamin A, 12 units of .... Solve the system of Equations by using the inverse of coefficient matrix ... (please see t