An insurance company has hired you to determine the number of sales divisions into which the country should be divided. Each division will need a president, a vice president, and a divisional staff. The time needed to call on a client will depend on the distance of the salesperson from the client. Discuss how you would determine the optimal -number of sales divisions and the allocation of the company’s sales force to the various divisions

Q: An electronics company manufactures two types of products: component 1 and component 2. Producing a…

A: Variables: x1 = number of component 1 produced x2 = number of component 2 produced di+ = Is the…

Q: Mrs. Reyes needs a diet that will supply her with at least 1,200 calories and at least 700 units of…

A: Objective Functions and Constraints:                 Based on the given details, we found the…

Q: The Pine Valley Board of Education must hire teachers for the coming school year. The types of…

A: Formulate Goal programming (GP) model as under Decision variables: Let x1, x2, x3, x4, x5, x6 be the…

Q: A marketing research profossor is conducting a telephone survey and needs to contact at least 160…

A: The objective function is usually focussed on the minimization of costs, time, and maximization of…

Q: The Biggs Department Store chain has hired an advertising firm to determine the types and  amount of…

A: Based on the given data  we formulate the problem as given below

Q: Eastinghouse sells air conditioners. The annual demand for air conditioners in each region of the…

A: Let the following be the representation   Newyork = 1 Atlanta = 2 Chicago = 3 Los Angeles…

Q: During the next two months an automobile manufacturer must meet (on time) the following demands for…

A: Given information,  Month 1 - Truck - 400                   Car - 800    Month 2 - Truck  - 300…

Q: VOOM has four warehouses 1, 2,3, and 4. VOOM needs to supply 100 Tons to retailer P, 300 Tons to…

A: formulate a spreadsheet to solve the problem using linear programming as follows:

Q: A plumbing repair company has 3 employees and must choose which of 3 jobs to assign each to (each…

A: linear programming, numerical demonstrating strategy in which a linear capacity is amplified or…

Q: An oil company produces gasoline from five inputs. The cost, density, viscosity, and sulfur content,…

A: For the given question, the first part will be answered as per policy. If you need any other…

Q: The production line employees at Grummins Engine work four days per week, 10 hours per day. Each day…

A:

Q: A factory operates 7 days a week.  Due to labor union regulations, employees are allowed to work a…

A: Decision Variables: Let Xi be the number of employees assigned on a particular day of the week.…

Q: An oil company produces regular and premium gasolinelfor stations in the southeast United States.…

A:

Q: A company plans to make 3 models (A, B, and C) of their main product next month. Production capacity…

A: Objective Functions:                 Based on the given details, the objective function is  Decision…

Q: Formulate a goal programming model to determine the number of acres of each crop the farmer should…

A: Assume that,x  acres for corny acres for wheatz acres for soyabeans.The profit…

Q: An Electrical Utility Startup Problem A problem faced by an electrical utility company each day is…

A: Let us consider the variables A, B, C,D & E represent the Generators A,B,C,D & E. Now, let…

Q: A company is considering opening warehouses in four cities: Ankara, Istanbul, Izmir, and Antalya.…

A: We will be using the given problem as an integer programming model as mentioned in the below steps:…

Q: TIME (Hours) Task 1 Task 2 Task 3 Task 4 Machine 1 130 40 70 60 Machine 2 10 110 50 40 Machine 3 60…

A: Given Information:

Q: A plumbing repair company has 3 employees and must choose which of 3 jobs to assign each to (each…

A: Formula:

Q: GulfOil Company (GOC) can buy two types of crude oil: light oil at $49/barrel and heavy oil…

A: Part (A): Decision Variable:   Suppose-X1= Barrels of light oil to purchaseX2= Barrels of heavy oil…

Q: A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair…

A: Decision variables- Let x be the no. of the desk to be produced and y be the no. of the chairs to be…

Q: A manufacturer produces bicycles and motorcycles, each of which must be processed through two…

A:

Q: Nike manufactures three types of shoes on two different production lines. Each line can be utilized…

A: Let, A and B are the production line and  X,Y,Z are three types of shoes (typw1, type2, type3) [AX…

Q: The production manager for the Classic Boat Corporation must determine how many units of the Classic…

A: Part (A): Decision Variable:   Suppose-x1 be the no. of units to manufacture in quarter 1x2 be the…

Q: Mac’s Warehouse is a large discount store that operates 7 days per week. The store needs the…

A: So, forming an LP with decision variable as the day of starting their work on specific day as x1, x2…

Q: A farmer has 1000 acres of land on which he can grow corn, wheat, and soybean. The following table…

A: Solution: Let us define the variables, x1 = acres of corn x2 = acres of wheat x3 = acres of soybean.…

Q: A production department requires different numbers of full-time employees on different days of the…

A: Please note we are integrating all the part in to a and B.] a) Min C1X1 + C2X2 + C3X3 + C4X4 + C5X5…

Q: A rancher is mixing two types of foods, Brand X and Brand Y, for his cattle. Each serving for cattle…

A: Objective Functions and Constraints:                 Based on the given details, the objective…

Q: A company blends nitrogen and phosphorous to produce two types of fertilizers. Fertilizer 1 must be…

A: Let Xn1 be the amount in pounds of nitrogen used in fertilizer 1 and Xn2 be the amount in pounds of…

Q: A large department store operates seven days a week. The manager estimates that the minimum number…

A: Decision variable:   Suppose-X1 be the no. of salespersons having off-days on Monday & TuesdayX2…

Q: A plumbing repair company has 3 employees and must choose which of 3 jobs to assign each to (each…

A: Assignment ModelThe decision variables (DVs) are A1,A2 and A3 denoting the assignment of employee A…

Q: Exit A plumbing repair company has 3 employees and must choose which of 3 jobs to assign each to…

A: Data Given JOB 1 51 43 51 JOB2 48 50 41 JOB 3 38 49 51

Q: A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It…

A: x = units of product A y = units of product B Objective function: Max Z = 2x+7y Constraints: 1.…

Q: A bakery makes three sizes of cakes: small, medium, or large.  Cakes require three major…

A: Framing the Linear Equation:  Let x be small cake, y be medium cake and z be large cake Objective…

Q: Formulate an LP

A: For the above question, we can assume the variables as follows: Let X1 be the number of workers who…

Q: A company has three manufacturing plants (in Atlanta, Tulsa, and Springfield) that produce a product…

A: Given that: Plant A B C D Atlanta $800 $1,300 $400 $700 Tulsa $1,100 $1,400 $600 $1,000…

Q: Each day, workers at the Gotham City Police Department work two 6-hour shifts chosen from 12 A.M to…

A: Constraint 1                                     x1 + x2 + x3  ≥ 15 Constraint 2…

Q: A large department store operates 7 days a week. The manager estimates that the   minimum number of…

A: A Small Introduction about Sales Management   Deals the board is the method involved with getting…

Q: A furniture manufacturer produces three types of chairs. Model A requires 1.2 hours of labor and…

A: Decision Variable- Suppose, X be the no. of Chairs model A                 Y be the no. of Chairs…

Q: Monroe County is trying to determine where to place the county fire station. The locations of the…

A: This is what is known from the problem: The locations of the county’s four major town are: (10, 20),…

Q: Using the information in the table above, write a system of three equations. (ii) Write the system…

A: It is given that the dietitian desires each meal to meet exactly the daily requirement of proteins…

Q: Mondo Motorcycles is determining its production schedule for the next four quarters. Demand for…

A:

Q: A customer requires during the next four months, respectively, 50, 65, 100, and 70 units of a…

A: Summarized data: Month Cost of Production/Unit Demand 1 $5 50 2 $8 65 3 $4 100 4 $7 70…

Q: A furniture company makes three kinds of office furniture: (a) desks, (b) tables, and (c) chairs. In…

A: Given data is Furniture Labor hours required Lumber required Selling price Variable cost Desk 4…

Q: A rancher is mixing two types of foods, Brand X and Brand Y, for his cattle. Each serving for cattle…

A: Here, we would determine total units of Brand X and Brand Y that would finally minimize the total…

Q: A company produces two types of transformer. If X1 is the number of type-A transformers and X2 is…

A: Given that: Profit = 924 x1(Type A) = 32 x2(Type B) = ?

Q: A portfolio management company must develop an investment strategy for its customer during the next…

A:

Q: Bevco manufactures an orange flavored soft drink called Qrani by combining orange soda and orange…

A: Let 10 oz bottle of Oranj is manufactured by combining x1 oz of orange soda and x2 oz of orange…

Q: A production department requires different numbers of full-time employees on different days of the…

A: a) Min C1X1 + C2X2 + C3X3 + C4X4 + C5X5 + C6X6 + C7X7 Subject to 1X1 + 0X2 + 0X3 + 1X4 + 1X5 + 1X6 +…

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.