Linear Programming:I got started on it, please follow up with my solution or give a better one too1.12X₁Unit of materialsunits of laborselling pricemaxX4X5X₁N - 002. transform using slack variables-10 100ㅎㅎ10stereo15866045X₁, X₂, X3 denotes radio, tv, stereo respectivelyex₁ + 60 x₂ + 45 X 3s.t.maxradio2182x₁ + 12x₂ + 15x3 = 15006×3- 1X₁ + 8x₂ + 6x3 = 920X₁₁ X ₁₂ X 3 = 0X₂12860O2X₁ +22x₂ + 15 x3 + X4 = 15008X₂ +6×3 +X5 = 920X₁ +X4X315645tv12SE151222solution is optimal음-돔86-13/22 7/227SY1/2ㅎㅎS= 125XsO-0-1000L1500129208125 1. Formulate the following problem as an LP problem and solve it. Any vari-ables you introduce must be defined:An electronic firm manufactures integrated circuits for radios, televisions,and stereos. For the next nine months it has available 1500 units of ma-terials and 920 units of labor.The requirements and selling price of one ofeach of the above products are given in the following table:ProductsRadioTelevisionStereoUnits of Mate- Units of Labor SellingrialsPrice ($)2121518686045Determine a production schedule that maximizes income.

We will solve the linear programming problem using the simplex method.

Answered: Unit of materials units of labor…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Could you help me with this exercise, the subject is linear programming by the graphical method, please.A shoemaker makes boots, men's and women's shoes, and can make 600 pairs per unit of time. Theshoemaker made 150 pairs for men and 240 pairs for women, and he can sell at most 100 pairs for men and 300 pairs for women.How many pairs of each type must he make to make the maximum profit, if the profit on boots is $3.00 per pair.on boots is $3.00 per pair; on men's shoes $2.50 per pair; and on women's shoes $1.75 per pair?
Please answer last 3 parts
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $500 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do enter your response here shock replacements and enter your response here brake replacements every week to maximize his weekly income.
Does the average person really need to deal with the complexities of dynamic programming?
A cobbler family makes mainly two types of shoes for Gents and Ladies. The Gents' shoe takes 1.5 hours of machining time and 3 hours of manual labour. For the Ladies' shoe it takes 3 hours of machining time and 1 hour of manual labour. Maximum machine-time available in a day is 42 hours and man-hours available is 24 hours. The profit on the Gents' shoe and Ladies' shoe are RO 6 and RO 3 respectively. Determine the number of shoes of each type that must be made so as to maximize the profit by optimizing the resources. What is the maximum profit that could be made?
Linear programming model
Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours of testing. Each soccer game requires 3 labor-hours of assembly and 1 labor-hour of testing. Each day there are 48 labor-hours available for assembly and 36 labor-hours available for testing. How many of each game should Infotron produce each day to maximize its total daily output?
UB is hosting a charity event and makes a profit of $14 on each faculty in attendance and $6 on each student in attendance. The number of faculty attending must be between 25 and 65, and the number of students should be between 20 and 35. The total number of attendees should not exceed 80. How many faculty should attend to maximize profit?
The firm WebsAreUs creates and maintains Web sites for client companies. There are two types of Web sites: “Hot” sites change their layout frequently but keep their content for long times; “cool” sites keep their layout for a while but frequently change their content. Maintaining a hot site requires 1.5 hours of layout time and 2 hour for content changes. Maintaining a cool site requires 1 hour of layout time and 2 hr for content changes. Everyday WebsAreUs has 12 hrs available for layout changes and 16 hr for content changes on a hot site. Net profit is $50 for a set of changes on a hot site and $250 for a set of changes on a cool site. To maximize profit, how many of each type of site should WebsAreUs maintain daily? How, if at all, do the maximum profit and optimal policy change if the company must maintain at least two hot and 3 cool sites daily?
Q3- You may need to use the appropriate technology to answer this question. The product development group at Landon Corporation has been working on a new computer software product that has the potential to capture a large market share. Through outside sources, Landon's management learned that a competitor is working to introduce a similar product. As a result, Landon's top management increased its pressure on the product development group. The group's leader turned to PERT/CPM as an aid to scheduling the activities remaining before the new product can be brought to the market. The activity time estimates (in weeks) are listed in the following table. Activity Optimistic Most Probable Pessimistic A 3 4 5 B 3 3.5 7 C 4 5 6 D 2 3 4 E 5 8 11 F 8.5 9.5 13.5 G 4.5 6 7.5 H 6 7 14 I 2 2.5 6 J 4 5 6 (a) Develop an activity schedule for this project and identify the critical path activities. (Enter your answers as a comma-separated list.) (b) Based solely…
A bakery gets milk from two dairies then blends the milk to get the desired amount of butterfat for use in the company's best selling product. Milk from dairy I costs $2.10 per gallon, and milk from dairy Il costs $0.70 per gallon. The company has at most $140 available for purchasing milk. Dairy I can supply at most 54 gallons of milk averaging 3.8% butterfat and dairy II can supply at most 88 gallons of milk averaging 3.2% butterfat. The blend can contain no more than 100 gallons of milk and should contain the maximum amount of butterfat. (a) Let x be the number of gallons of milk from dairy I and let y be the number of gallons of milk from dairy II. State the objective function. Maximize z= (b) Excluding nonnegativity constraints, how many constraints are needed for this model? (b) How much milk from each dairy should the bakery use? Round your answers to the nearest integer as needed. gallons from dairy I and gallons from dairy II. (c) What is the maximum amount of butterfat? Round…

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