a) Identify the decision variables, objective function, and constraints in simple verbal expressions. b) Mathematically formulate a linear optimization model. c) Use Solver to find an optimal solution.
Q: Simplex Method Solve the following LP problem using the simplex method. Maximize: P = 9x + 7y…
A: Given- LP problem - Maximize: P = 9x + 7ySubject to:2x + y ≤ 40x + 3y ≤ 30x, y ≥ 0
Q: Construct one example for each of the following types of two-variable linear programs. •Infeasible.…
A: Below is the solution:-
Q: a. Formulate a linear programming model to determine the number of basketballs and footballs to…
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A: It is given that the # of employees are 9 and the # of jobs are 9. So, total number of decision…
Q: b) Consider the following LP problem: Maximize z = 5x, + 2x2 Subject to 4x, - 2x2 < 40 X1 + 2x2 25…
A: Given: Max Z = 5 x1 + 2x2 subject to4 x1 - 2 x2 ≤ 40x1 + 2 x2 ≥ 5and x1,x2≥0;
Q: A plumbing repair company has 6 employees and must choose which of 6 jobs to assign each to (each…
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Q: . Solve the following linear program graphically: Maximize P = - 4X1 + 3X2 Subject to 6X1 + 3X2 10…
A: *** I have answered the first question as it includes total three question, according to guideline,…
Q: Formulate a linear program for this problem. 2) A hydroelectric dam needs to schedule how much power…
A: LPP is used to minimize or maximize the constraints such as workforce, cost, time, profit, losses…
Q: Set up and solve the following simple linear optimization model: MAX: 23.0 x + 16.9 y subject to: 3x…
A: Given that - MAX: 23.0x + 16.9y Subject to 3x + 4y ≥ 20 4x ≥ 10 5x + 1y ≤ 71 xy ≥ 0
Q: a) Using solver find the optimal solution and generate the sensitivity report for each case. b)…
A: Given Maximize P=6m+2n+4sSubject 3m+6n ≤30 6m+4s ≤12 2m+3n+s≤20…
Q: What is Optimization? How many methods are there to calculate it? Explain this?
A: Hello thank you for the question. As per guidelines, we would provide only one answer at a time.…
Q: e optimality principle.
A: The principle of Optimality is met if the subsolutions of an optimal solution of the issue are…
Q: What are the benefits and limitations fo the graphical method for solving linear programming…
A: Graphical method for solving linear programming problems: The graphical method of linear programming…
Q: Solve this using Simplex method Maximize: 4x1 + 2x2 + 5x3 S.t. x1 + 2x2 + x3 =0
A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…
Q: Consider the following Pareto maximization problem with decision variables x and y: vmax (x2 + x, -…
A: VMax ( x^2 + x , -2y ) Now, (x) is Positive, hence its value must be as higher as much possible to…
Q: Consider the following linear programming formulation: Min 5x + 2y Subject to (1)…
A: Note: Since you have posted multiple independent questions in the same request, we will solve the…
Q: When drawing a graph to solve a linear programming by the graphical method, what do the two axes…
A: Linear programming is a technique for obtaining optimal product mix for companies. The graphical…
Q: A plumbing repair company has 10 employees and must choose which of 10 jobs to assign each to (each…
A: Given data: A plumbing repair company Employees = 6 Jobs to each = 6 Condition : 1 job to assign…
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A: Linear programming is a mathematical technique that is also used in operations management…
Q: 1. Maximize Z = 2X1 + X2 Subject to: X2 < 10…
A: Note: “Since you have asked multiple questions, we will solve the first question for you. If you…
Q: (a) Formulate a BIP model for this problem. (b) Display this model on an Excel spreadsheet.
A: Linear programming is a mathematical technique that is also used in operations management…
Q: a. How many decision variables are there? b. Give the names of the decision variables. c. How many…
A: There are three decision variables.
Q: How are mathematical models helpful in determining the objective function & constraints equations in…
A: A linear programming problem represents a mathematical model that aids in the conversion of verbal…
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A: Let Xj be the binary integer such that the Xj=1 when the j-th course is selected and Xj=0 otherwise;…
Q: 2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be…
A: Below is the solution:-
Q: The first question answer the following questions: 1. What is the optimization (Optimization)? How…
A: Optimization refers to the process of making something fully potential, functional, and effective.
Q: a. Formulate a linear programming model for this problem. b. Solve this model by using graphical…
A: A linear programming method is used for the optimization of the operations while working under few…
Q: 1(a) Given the Linear Programming (LP) problem below, Max Z = 5x + 4y s.t 6x + 4y s 24 6x +3y s 22.5…
A: Given data is Objective function: Max Z=5x+4y Subject to 6x+4y≤246x+3y≤22.5x+y≤5x+2y≤6-x+y≤1y≤2x,y≥0
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A: Linear Programming - It is the mathematical programming which is used to solve the optimal value of…
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A: Eagles produced is 1400.
Q: Simplex Method Solve the following LP problem using the simplex method. Maximize: P = 9x + 7y…
A: As there are less than or equal to conditions in constraints, slack variable needs to be added. 2x +…
Q: . What are the general classifications of Optimization? 2. What is the main objective of a facility…
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
Q: The Carver Family did choose Warehouse Space A. The warehouse includes 8000 sq. ft. of showroom and…
A: here, in the question, I have following information, these are size of the warehouse, size of the…
Q: Find solution using BigM (penalty) method. Maximize Z = x1 + 2x2 + 3x3 - x4 subject to the…
A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…
Q: . Solve each of these problems by computer and obtain the optimal values of the decision…
A: Excel model and formula: Solver input: Answer:
Q: Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1…
A:
Q: 3. Consider the following linear program: Min 8X + 12Y s.t. IX + 3Y 9 2X+ 2Y 10 6X + 2Y 18 X, Y 0…
A: Note: - Since we can answer only up to three subparts we will answer the first three(a, b, and c)…
Q: Which of the following is the key identifier of a resource-allocation problem? I. Constraints with…
A: The issue of allocation of resources emerges because of the shortage of resources and alludes to the…
Q: Carefully examine the following ASSIGNMENT problem. Which of the following constraints is not true?…
A: In assignment problem we assign one job to machine to get all the job done with a minimum cost…
Q: between the left and right sides of a constraint. b. is the amount by which the left side of a ≤…
A: Answers are given below:
Q: A manufacturing company is putting out four new products. Each of this company's four plants has the…
A: Find the Given details below: Given details Plants A B C D New Products Pr1 17 12 13 11…
Q: WhAt is Integer Linear Optimization and how it is solved?
A: Linear optimization is one of the most popular techniques in linear programming. ILO was first…
Q: Urgently needed.. Asap
A: Decision Variable: Suppose-A be the proportion of raw material A per gallon of productB be the…
Q: Task type 1 3 4 1 10 2 3 15 9 2 Machine category 3 5 10 15 2 4 15 5 14 7 15 4 20 15 13 8 2.
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- The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown: Constraint Television Radio Online Audience per advertisement 150,000 17,000 35,000 Cost per advertisement $1,500 $250 $500 Maximum media usage 12 18 11 To ensure a balanced use of advertising media, radio advertisements must not exceed 45% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. (a) If the promotional budget is limited to $24,000, how many commercial messages should be run on each medium to maximize total audience contact? If your answer is zero enter “0”. Advertisement Alternatives No of commercialmessages Television…The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown. Constraint Television Radio Online Audience per advertisement 200,000 36,000 80,000 Cost per advertisement $2,000 $300 $600 Maximum media usage 10 20 10 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. (a) If the promotional budget is limited to $25,100, how many commercial messages should be run on each medium to maximize total audience contact? Television ___ Radio____ Online____ What is the allocation of the budget among the three media, and what is the total audience reached?…Marcus is a computer engineer who has recently developed an app which helps userskeep track of medical information, doctor’s appointments, and prescriptions.Information about the user is stored in this app, including what prescriptions they aretaking and how frequently they schedule doctor’s appointments. As the developers ofthe app, Marcus and his company have access to this information.The marketing department requests Marcus supply them with customer-specificinformation so they can better target ads and app suggestions to the users. Marcusunderstands that he is part of a company, but also feels that the privacy of the appusers should be protected. Additionally, Marcus feels that as an engineer, he should beresponsible to those who use his technology.Note that Marcus is not a healthcare provider, nor does he work for a medicalfacility. As you plan your answer, consider the current healthcare and legal climatesand concerns that may exist relating to individuals' healthcare choices. 1.…
- SoulFood.com is a new entrant in the vegan packaged food space. They have developed their online store from a professional website development company. They have also hired a social media executive to create brand pages on Facebook, Instagram, Pinterest, YouTube and Twitter. They have a dedicated content developer who posts content on these platforms every day and writes a blog article once a week. Moreover, they have adigital marketing agency who is running a Google ads campaign, Facebook and Instagram ad campaigns. SoulFood collaborated with 50 Instagram influencers by sending them free products and no monetary exchange. These influencers have posted content about the brand on their individual accounts. Customers are also giving positive reviews for on SoulFood’s website and social media pages. All these marketing efforts have resulted in generating buzz about SoulFood. What is the POEM framework? Identify the paid, owned, earned media for SoulFoodSoulFood.com is a new entrant in the vegan packaged food space. They have developed their online store from a professional website development company. They have also hired a social media executive to create brand pages on Facebook, Instagram, Pinterest, YouTube and Twitter. They have a dedicated content developer who posts content on these platforms every day and writes a blog article once a week. Moreover, they have a digital marketing agency who is running a Google ads campaign, Facebook and Instagram ad campaigns. SoulFood collaborated with 50 Instagram influencers by sending them free products and no monetary exchange. These influencers have posted content about the brand on their individual accounts. Customers are also giving positive reviews for on SoulFood’s website and social media pages. All these marketing efforts have resulted in generating buzz about SoulFood. What is the POEM framework? Identify the paid, owned, earned media for SoulFood Ramya is passionate about running…The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown: Constraint Television Radio Online 100,000 16,000 35,000 Audience per advertisement Cost per advertisement $1,500 $250 $650 Maximum media usage 10 24 14 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized. (a) If the promotional budget is limited…
- Tip Top Toys is a relatively small division of Worldwide Enterprises. Worldwide has nine other divisions, which include insurance, health-care products, and financial planning services, to name a few. The corporate marketing director for Worldwide has requested Tip Top’s customer shopping data to target people who might be likely to purchase items or services from other Worldwide divisions. The database manager is not totally comfortable with this and pointed out Tip Top’s web privacy policy, which states “Tip Top Toys, a division of Worldwide Enterprises, will not share personal data with other companies without a customer’s consent.” The marketing director replied that the statement only applies to outside companies— not other Worldwide divisions. He said he checked with the corporate legal department, and they agreed. The database manager replied, “Even if it is legally OK, it’s not the right thing to do. Many people take our statement to mean that their data does not leave Tip Top.…Tip Top Toys is a relatively small division of Worldwide Enterprises. Worldwide has nine other divisions, which include insurance, health-care products, and financial planning services, to name a few. The corporate marketing director for Worldwide has requested Tip Top’s customer shopping data to target people who might be likely to purchase items or services from other Worldwide divisions. The database manager is not totally comfortable with this and pointed out Tip Top’s web privacy policy, which states “Tip Top Toys, a division of Worldwide Enterprises, will not share personal data with other companies without a customer’s consent.” The marketing director replied that the statement only applies to outside companies— not other Worldwide divisions. He said he checked with the corporate legal department, and they agreed. The database manager replied, “Even if it is legally OK, it’s not the right thing to do. Many people take our statement to mean that their data does not leave Tip Top.…Answer the following scenarios by providing the applicable analysis type and benefits: a. The Marketing Department is planning a "direct mailing" campaign. To minimize the cost of the campaign it should determine which customers are most likely to respond to the offer. b. The Sales Department, in order to increase sales, has to decide which combination of products should be recommended to a particular customer. c. The Marketing Department is to prepare or modify the products and services offer so that it optimally matches the needs of different customers. d. The CRM Department is to determine the profile of clients who intend to resign from our services, and then take actions to keep them
- A marketing firm would like to test-market the name of a new energy drink targeted at 18- to-29-year-olds via social media. A study by the Pew Research Center found that 37.6% of U.S. adults (18 and older) do not use social media as of Oct. 2015. The percentage of adults age 30 and older is 70.1% of the population. In addition, we know that the percentage of the U.S. adult population that is either 18-29 or uses social media is 67.7%. You should construct fill out a contingency table for this information. You can construct a hypothetical 1000s table or a probability table. To answer the following question What is the probability that a randomly selected U.S. adult is aged 18-29?The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $1000 between digital advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media, and that the amount of money spent on digital advertising must be at least twice the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for digital advertising is 50 and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget in order to maximize the value of total audience exposure? Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure. Solve the problem using…Hi can u pls make this answer in short only add main points pls Product Analysis: The product analysis helps to identify what products are being offered by the company and what products does the company specializes in. Starbucks offers a wide range of coffees at its multiple outlets. It offers coffee in around 30 variants that have completely differentiable tastes. Customers have a choice to make a choice among all these available variants. The focus of Starbucks has always been to provide unique and creative products to its customers. Marketing/Promotion Analysis: The objective of all marketing activities remain in providing the best experience to their customers. And Starbucks has always been doing this by providing friendly and accommodating customer service through their selling representatives. The marketing strategy of word-of-mouth has worked wonders for the company and investing in non-profit organizations has helped the company in making a good social image of the brand.