BUSS211 Operations ManagementHW#4Due 6/3 (Fri) 11:59 pm#1.A business student at Nowledge College must complete a total of 65 coursesto graduate. The number of business courses must be greater than or equal to 23.The number of nonbusiness courses must be greater than or equal to 20. Theaverage business course requires a textbook costing $60 and 120 hours of study.Nonbusiness courses require a textbook costing $24 and 200 hours of study. Thestudent has $3,000 to spend on books.a. Create a set of linear equations to describe the objective function and theconstraints.b. Use graphic analysis to find the visual solution.c. What combination of business and nonbusiness courses minimizes totalhours of study?d. Identify the slack or surplus variables.#2.In Problem 1, suppose that the objective is to minimize the cost of books andthat the student's total study time is limited to 12,600 hours.a. Use graphic analysis to determine the combination of courses thatminimizes the total cost of books.b. Identify the slack or surplus variables. #3.The Sports Shoe Company is a manufacturer of basketball and football shoes.The manager of marketing must decide the best way to spend advertisingresources. Each football team sponsored requires 120 pairs of shoes. Eachbasketball team requires 32 pairs of shoes. Football coaches receive $300,000for shoe sponsorship, and basketball coaches receive $1,000,000. Themanager's promotional budget is $30,000,000. The company has a limitedsupply (4 liters, or 4,000 cubic centimeters) of flubber, a rare and costlycompound used in promotional athletic shoes. Each pair of basketball shoesrequires 3 cc of flubber, and each pair of football shoes requires 1 cc. Themanager wants to sponsor as many basketball and football teams as resourceswill allow.a. Create a set of linear equations to describe the objective function and theconstraints.b. Use graphic analysis to find the visual solution.c. What is the maximum number of each type of team that the company cansponsor?#4.Mile-High Microbrewery makes a light beer and a dark beer. Mile-High has alimited supply of barley, limited bottling capacity, and a limited market for lightbeer. Profits are $0.20 per bottle of light beer and $0.50 per bottle of dark beer.a. The following table shows resource availability of products at the Mile-High Microbrewery. Use the graphic method of linear programming tomaximize profits. How many bottles of each product should be producedper month?PRODUCTLight BeerDark BeerResourceResource Availability(per month)(x₁)(x₂)Barley0.1 gram0.6 gram2,000 gramsBottling1 bottle1 bottle6,000 bottlesMarket1 bottle4,000 bottlesb. Identify any constraints with slack or surplus.

Linear programming is a mathematical technique that is also used in operations management…

Answered: a. Create a set of linear equations to…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Explain FIVE (5) examples of solving business problems using LinearProgramming (LP)
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a. Create a set of linear equations to describe the objective function and the constraints. b. Use graphic analysis to find the visual solution. c. What combination of business and nonbusiness courses minimizes total hours of study?