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##### Module 7 assignment

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Question;Module 7;12. Betty Mallow, owner of the Eagle Tavern in Pittsburgh, is preparing for;Super Bowl Sunday, and she must determine how much beer to stock. Betty stocks;three brands of beer- yodel, shotz, and rainwater. The cost per gallon (to the;tavern owner) of each brand is as follows;Brand Cost/Gallon;Yodel \$1.50;Shotz \$0.90;Rainwater \$0.50;The tavern has a budget of \$2,000 for beer for Super Bowl Sunday. Betty sells;Yodel at a rate of \$3.00 per gallon, Shotz at \$2.50 per gallon, and Rainwater;at \$1.75 per gallon. Based on past football games, Betty has determined the;maximum customer demand to be 400 gallons of Yodel, 500 gallons of Shotz, and;300 gallons of Rainwater. The tavern has the capacity to stock 1,000 gallons of;beer, Betty wants to stock up completely. Betty wants to determine the number;of gallons of each brand of beer to order so as to maximize profit.;A. Formulate a linear programming model for this problem.;B. Solve the model by using the computer.;problem;Brooks City has three consolidated high;schools, each with a capacity of 1,300 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 schools are;located in the central, west, and south districts. Some students must be bused;outside of theri district, and the school board wants to minimize the total bus;distance traveled by these students. The average distances from each district;to the three schools and the total student population in each district are as;follows.;Distance;(Miles);District Central School West School South School Student Population;District Distance (miles) Student Central West South Population School;School School North 8 11 14 700 South 12 9 - 300 East 9 16 10 900 West 8 - 9;600 Central - 8 12 500 The school board wants to determine the number of;student to bus from each district to each school to minimize the total busing;miles traveled.;a);formulate a linear programming model for this problem;b);solve the model by using the computer PLEASE use excel solver. Joe Henderson runs a small metal part;shop. The shop contains three machines- a drill press, a lathe, and a grinder.;Joe has three operators, each certified to work on all three machines. However;each operator performs better on some machines than on other. The shop has;contracted to do a big job that requires all three machines. The times required;by the various operators to perform the required operations on each machine are;summarized as follows.;Operator;Drill Press (min) Lathe (min) Grinder (min);1 22 18 35;2 41 30 28;3 25 36 18;16.;The athletic boosters club for Beaconville has planned a 2-day fund-raising drive;to purchase uniforms for al the local high schools and to improve facilities.;Donations will be solicited during the day and night by telephone and personal;contact. The boosters club has arranged for local college students to donate;their time to solicit donations. The average donation from each type of contact;and the time for a volunteer to solicit each type of donations are as follows;Average donation (\$) Average Interview Time (min.);Phone;Personal Phone Personal;Day 16 33 6 13;Night 17 37 7 19;The boosters club has gotten several businesses and car dealers to donate;gasoline and cars for the college students to use to make a maximum of 575;personal contacts daily during the fund-raising drive. The college students;will donate a total of 22 hours during the day and 43 hours at night during the;drive.;The president of the booster club wants to know how many different types of;donor contacts to schedule during the drive to maximize the total donations.;Formulate and solve an integer program between the integer and non-integer;rounded-down solutions to this problem?;24 Harry and Melissa Jacobson;produce handcrafted furniture in a workshop on their farm. They have obtained a;load of 600 board feet of birch from a neighbor and are planning to produce;round kitchen tables and ladder-back chairs during the next 3 months. Each;table will require 30 hours of labor, each chair will require 18 hours, and;between them they have a total of 480 hours of labor available. A table;requires 40 board feet of wood to make, and a chair requires 15 board feet. A;table earns the couple \$575 in profit and chair earns \$120 in profit. Most;people who buy a table also want four chairs to go with it, so for every table;that is produced, at least four chairs must also be made, although additional;chairs can also be sold separately. Formulate and solve an integer programming;model to determine the number of tables and chairs the Jacobsons should make to;maximize profit.

Paper#61894 | Written in 18-Jul-2015

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