1. Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The fim has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Production Time (hours) Cutting Packaging Model and Sewing Finishing and Shipping Profit/Glove Regular model 1/2 1/8 55 Catcher's model 3/2 1/3 1/4
Q: A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the…
A: Given data is
Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Problem 2 . A hospital outpatient clinic performs four types of operations. The profit per…
A: xj be the number of operation-j. j=1,2,3,4 Priority 1 - Goal 1: Min G1s.t.200 x1 + 150 x2 + 100 x3 +…
Q: J.C. Howard's medical testing company in Kansas wishes to assign a set of jobs to a set of…
A: Assignment problems are special types of linear programming problems. It can be solved using a…
Q: Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have…
A: Let's define the variables. Formulation: x1 - No. of chairs to producex2 - No. of tables to…
Q: Macro farms Ltd can purchase two types of fertilizer which contain the following percentage…
A: Given Information: The minimum quantities required are: Nitrate: 100 kgs Phosphate: 50 kgs…
Q: The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats…
A:
Q: The aim of the objective function for Par Inc., should be to Maximize / Minimize the objective…
A: From the above-provided data the question is solved as follows:
Q: Kellogg wants to maximize their profits from their main products: Strawberry Krisples (SK) and…
A: Given that - Kellogg uses- Fiber = 300 pounds per week Sugar = 200 pounds per week Profits for the…
Q: Green Valley Mills produces carpet at plants in (1)St. Louis, (2)Richmond, and (3)Nashville. The…
A: Given data is
Q: Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a…
A: Note: - As per the guidelines, we can answer only up to three subparts we will answer the first…
Q: Fred Sporting Equipment, Inc. makes two different types of baseball gloves: a regular model and a…
A: PLEASE NOTE AS PER THE BARTLEBY POLICY I HAVE SOLVED THE FIRST THREE PARTS. PLEASE POST OTHER PARTS…
Q: BS Oil manages a refinery in the Gulf of Mexico. The refinery distills crude oil from two sources,…
A: Country A Country B Cost 20 15 Barrel available per day 9000 6000 Content Per…
Q: Irwin Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier…
A: Let Denim = D and Corduroy = C Maximize profit = 2.25D + 3.10C subject to 5D + 7.5 C <=…
Q: A high-speed train operator schedules six trains per day departing from City A. The destination of…
A: An optimal solution is a possible solution in which the objective function obtains its maximum (or…
Q: A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the…
A: Table-1 cus→mer1 cus→mer2 cus→mer3 Supply Row Penalty Factory A 8 14 15 190 6=14-8 Factory…
Q: on
A: let the number of the first product 1 be xlet the number of the 2nd product by y Objective Function…
Q: Nkrumah Farms encompasses 900 acres, and is planning to grow groundnut, soybeans, corn, and wheat in…
A: Part (A): Decision Variable:Suppose-G be the no. of acres of land allocated to grow groundnutS be…
Q: A furniture manufacturer produces two types of tables – country and contemporary – using three types…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Lakeside Boatworks is planning to manufacture three types of molded fiberglass recreational boats –…
A: THE LINEAR PROGRAMMING MODEL IS COMPUTED AS: The decision variables of the given problem are: X1 =…
Q: Colonel Alexander Hamilton is on a low cholesterol diet. During lunch at the HQ cafeteria, he always…
A: Objective Functions and Constraints: Based on the given details, we found the…
Q: Weenies is a food processing plant which manufactures hot dogs and hot dog buns. They grind their…
A: A. In the above case, Weenies is a company which produces hot dogs and buns. Toproduce buns they…
Q: The Enormous State University History Department offers three courses- Ancient, Medieval and Modern…
A: Given that, Number of sections allowed - 43 No. of students ikes to take course - 4700 No. of…
Q: Solve the following. Follow the Linear Programming Model Formulation Steps. 1. Moore’s Meatpacking…
A:
Q: The ABC Company manufactures three products A, B, and C. Following table lists the labor and…
A: The question is to find out the number of units that should be produced to maximize profit. Let A=…
Q: Taco Loco Taco Loco is considering a new addition to their menu. They have test marketed a number…
A: The sensitivity report from the computer model is given below-
Q: The problem below involves three variables. Solve it with the simplex method, Excel, or some other…
A: Let, A = Units of Aries to be built B = Units of Belfair to be built W = Units of Wexford to be…
Q: A garment factory manufactures men’s shirts and women’s blouses. The production process includes…
A: Given Information:
Q: Metropolitan Manila has four incinerator sites for processing solid waste. There are five garbage…
A: Given data is
Q: The Shop at Home Network sells various household goods during live television broadcasts. The…
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
Q: The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats…
A: Given data, Requirements for each box 48 milligrams - Vitamin A 12 milligrams - Vitamin B Oats…
Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…
A: The linear programming model is used to maximize the profit or minimize the cost using the limited…
Q: A Power company has three plants that supply the need of three cities (as shown in Table 2). Each…
A: City 1 City 2 City 3 Supply Plant 1 10 11 16 30 Plant 2 8 14 11 40 Plant 3 7 10 13 50…
Q: 1. Sporting Goods Product Mix. Kelson Sporting Equipment, Inc. makes two types of baseball gloves: a…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: 2. Metropolitan Manila has four incinerator sites for processing solid waste. There are five garbage…
A: Find the Given details below: Given details: Collection Area Incinerator Site 1 2 3 4 Waste…
Q: A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the…
A:
Q: A company has a total of 3 factories to produce steel and iron. Every month, the company must meet…
A: Cost is in pounds
Q: The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats…
A: The given data can be represented tabularly as follow: Oats Rice Minimum requirement Vitamin…
Q: The following linear programming problem described the manufacturing two products (X1 & X2) by using…
A: 1). Min: W= 1200Y1+1000Y2 + 200Y3 Max Z= 3x1+4x2 Substituing in the constraint 2x1+3x2≤1200…
Q: Radford Castings can produce brake shoes on six different machines. The following table summarizes…
A: Given Information: Machine Fixed Cost $ Variable Cost $ Capacity 1 1000 21 500…
Q: Problem Sets in Linear Programming - Formulation, Graphical Solution, and Simplex Method 1. The…
A: THE ANSWER IS AS BELOW:
Q: Hart Manufacturing makes three products. Each product requires manufacturing operations in three…
A: Note: As per the Bartleby guidelines only the first three parts have been answered, for getting…
Q: owing table. The demand of each grocery store can be supplied by only one truck, but a truck may…
A: Let Yi =1 if truck I (i = 1…4) operates on a particular day to deliver milk 0, otherwise Let Xij= 1…
Q: Green Valley Mills produces carpet at plants in (1)St. Louis, (2)Richmond, and (3)Nashville. The…
A: Given data is
Q: A company makes 2 different types of gloves; a regular type and a professional type. The company has…
A: Objective Functions and Constraints: Based on the given details, we found the…
Q: Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier…
A: Formulate the Problem The given data is be summarized in following table
Q: The Pine Valley Board of Education must hire teachers for the coming school year. The types of…
A: Given data, History, science 20 $21, 000History, math 15 $22, 000English, science 12 $23,…
Q: Monsters, Inc. has two plants for producing electricity, one in Monsterville and another is in New…
A: To produce electricity in New Yeti: e(NY)= min{2x1,x2} ➡ 20= 2x1 ➡ x1=10 Thus, the input required…
Q: For what value of h will a sensitivity analysis on the effect of a change of h pounds of peat be…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Ex-2: Reddy mikks produces both interior and exterior paints from tow raw materials M1 and M2 the…
A: Let; x1 be the tons of exterior point to be produced x2 be the tons of interior point to be…
Assuming that the company is interested in maximizing the total profit contribution, answer the following:
1. Compute the range of optimality for the objective function coefficients
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 6 images
- PLEASE SHOW IN EXCEL Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher’s model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Production Time (hours) Model Cuttuing and Sewing Finishing and Shipping Profit/Glove Regular model 1 1/2 1/8 $5 Catcher's model 3/2 1/3 1/4 $8 Assume that the company is interested in maximizing the total profit contribution. Let R = number of units of regular model.C = number of units of catcher’s model. Max 5 R + 8 C s.t. 1 R + C ≤ 900 Cutting and sewing R + C ≤ 300 Finishing R + C ≤ 100…The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology.A contractor builds three types of houses: the Aries, the Belfair, and the Wexford. Each house requires one lot, and the following table gives the number of labor-hours and the amount of capital needed for each type of house, as well as the profit on the sale of each house. There are 13 lots, 52,400 labor-hours, and $3,684,200 available for the contractor's use. Aries Belfair Wexford Labor-hours 3,000 3,700 5,000 Capital $205,000 $279,600 $350,000 Profit $20,000 $25,000 $30,000 (a) Building how many of each type of house will maximize his profit? Aries houses Belfair houses Wexford houses (b) What is the maximum possible profit?$An enterprise produces P1, P2 and P3 products using H1 and H2 raw materials. Production data are presented in the table below. The labor time per unit of P1 product is twice that of P2 and three times that of P3. The entire workforce of the production facility is enough to produce 1500 units of P1 product. The market requirement for products is in the order of 3: 2: 5. Establish the Linear programming (DP) model that will maximize the profits of the business and determine the best production quantities?
- Due to the unavailability of desired quality of raw materials, ABC Ltd. can manufacture maximum 80 units of product A & 60 units of product B. A consumes 5 units and B consumes 6 units of raw materials in the manufacture respectively and their respective profit margins one RO 50 & RO 80. Further, A requires 1 man-day of labour per unit & B requires 2 man-day of labour per unit. The constraints operating are: Supply of raw material - maximum 600 units Supply of labour - maximum 160 man-days. Formulate as a LP model & solve graphically.The following information relates to Questions 10-11: The production planner for Rienzo, Inc. produces two chemicals: Alpha (A) and Delta (D). Two of his resources are constrained: Jaya, of which he can get at most 8,400 litres per week; and Sanga, of which he can get at most 4,600 litres per week. Each unit of Alpha chemical requires 16 litres of Jaya and 7 litres of Sanga, while a unit of Delta chemical uses 8 litres of each type of raw material. Profits for the Alpha blend are £3.00 per unit, and profits for the Delta blend are £5.00 per unit. Question 10 What is the objective function? A £1 A + £5 D = Z B £8 A + £16 D = Z C I do not wish to answer this question. D £3 A + £5 D = Z E £16 A + £8 D = Z F £7 A + £8 D = Zhe North Shore Bank is working to develop an efficient work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank, including adequate customer service, employee breaks, and so on. On Fridays, the bank is open from 9:00 a.m. to 7:00 p.m. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized as follows: Each full-time employee starts on the hour and works a 4-hour shift, followed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour. Considering salary and fringe benefits, full-time employees cost the bank $15 per hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day). a. Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. (Hint: Let xi= number of full-time employees coming on duty at the beginning of…
- Please use excel for this problem A furniture manufacturer produces two types of tables – country and contemporary – using three types of machines. The time required to produce the tables on each machine is given in the following table: Machine Country Contemporary Total Machine Time Available Per Week Router 3.5 4.0 1,000 Sander 4.5 6.5 2,000 Polisher 3.0 2.0 1,500 Country tables sell for $395 and contemporary tables sell for $515. Management has determined that at least 25% of the tables made should be country and at least 38% should be contemporary. How many of each type of table should the company manufacture if it wants to maximize its revenue? Formulate an LP model for this problem Create the spreadsheet model and use Solver to solve the problem.Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 52 units of synthetic fiber, requires 28 hours of production time, and needs 22 units of foam backing. Each roll of Grade Y carpet uses 45 units of synthetic fiber, requires 30 hours of production time, and needs 16 units of foam backing.The profit per roll of Grade X carpet is $205 and the profit per roll of Grade Y carpet is $155. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility. This means that instead of using the = or ≤ sign in the constraint you should use the ≥ sign.). The company has 1500 units of foam backing available for use.Develop and solve a linear programming model…Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 52 units of synthetic fiber, requires 28 hours of production time, and needs 22 units of foam backing. Each roll of Grade Y carpet uses 45 units of synthetic fiber, requires 30 hours of production time, and needs 16 units of foam backing.The profit per roll of Grade X carpet is $205 and the profit per roll of Grade Y carpet is $155. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility. This means that instead of using the = or ≤ sign in the constraint you should use the ≥ sign.). The company has 1500 units of foam backing available for use.Develop and solve a linear programming model…
- Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing.The profit per roll of Grade X carpet is $200 and the profit per roll of Grade Y carpet is $160. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility). The company has 1500 units of foam backing available for use.Develop a linear programming model for this problem.1. Define the Decision Variables2. Write the Objective3. Write the ConstraintsNkrumah Farms encompasses 900 acres, and is planning to grow groundnut, soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are: Ghs 3 for groundnut, Ghc 5 for soybeans, Ghs 2 for corn, and Ghs 1 for wheat. Nkrumah Farms estimate that each acre of groundnut will require an average of 4 hours of labour per week, while soybeans will require an average of 5 hours of labor per week. Corn and wheat will each require an average of 2 hours per week. Based on past yields and current market prices, Nkrumah Farms estimate a profit of Ghs 1200 for each acre of groundnut, Ghs 3,000 for each acre of soybeans, Ghs 2,000 for each acre of corn, and Ghs 1,000 for each acre of wheat. Nkrumah Farms cannot afford to spend more than Ghs 3,000 on fertilizer. In addition, local labor regulations require Nkrumah Farms to utilize at least 2,200 hours of labour per week.Based on past demands, Nkrumah Farms would also want to ensure that the number of acres allocated to wheat…Lakeside Boatworks is planning to manufacture three types of molded fiberglass recreational boatsa fishing (bass) boat, a ski boat, and a small speedboat. The estimated selling price and variable cost for each type of boat are summarized in the following table: Boat Variable Cost Selling Price Bass $12,500 $23,000 Ski 8,500 18,000 Speed 13,700 26,000 The company has incurred fixed costs of $2,800,000 to set up its manufacturing operation and begin production. Lakeside has also entered into agreements with several boat dealers in the region to provide a minimum of 70 bass boats, 50 ski boats, and 50 speedboats. Alternatively, the company is unsure of what actual demand will be, so it has decided to limit production to no more than 120 of any one boat. The company wants to determine the number of boats that it must sell to break even while minimizing its total variable cost. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer.