PROBLEM: An appliance manufacturer produces two models of electric fans: stand fans and desk fans. Both model require fabrications and assembly work. Each stand fan uses 4.0 hours of fabrications and 2.0 hours of assembly works and each desk fans uses 2.0 hours of fabrication and 6.0 hours of assembly. There are 600 fabrication hours available per week and 480 hours of assembly. Each stand fan contributes Php 400.00 to profits and each desk fans contributes Php 300.00 to profit. How many stand fans and desk fans must the manufacturer produce in order to maximize the profit? Find the solutions: 1.0bjectives 2.Decision Variables 3. Certainty 4. Parameters
Q: 1. Three electric power plants with capacities of 25, 40, 15, and 30 million kWh supply electricity…
A: Hi, We are supposed to answer three subparts at a time. Since you have not mentioned which subpart…
Q: 4. XYZ Brownies is a culinary business that specializes in making brownie cakes with various flavors…
A: Find the given details below: Given details Output 18000 Brownies Effective Capacity (Current…
Q: Problem There are three factories on the Momiss River. Each emits two types of pollutants, labeled…
A: Consider the problem of pollution in Momiss river due factories along it. The factories produce two…
Q: IAN Ltd produces both interior and exterior paints from two raw materials, X and Y. The following…
A: Based on the given details, the objective functions and constraints are Objective Function: Max Z…
Q: Problem. A garment factory manufactures men's shirts and women's blouses. The production process…
A: Given data is Working hours = 8 Working days = 5 per week Available workers in cutting department =…
Q: Problem 2 22. The manager of a Burger Doodle franchise wants to determine how many sausage biscuits…
A: S = Number of Sausage biscuits to be produced H = Number of Ham biscuits to be produced Profit per…
Q: Constrained Optimization: One Internal Binding Constraint Patz Company produces two types of…
A: 1. Objective function: Max Z = $100 A + $200 B Subject to: 2A + 5B ≤ 100
Q: Problem 2 The AB manufacturing company has two kinds of products: A and B. They earn $180 profit for…
A: Note that, we could not generate a sensitivity report by hand and without a sensitivity report…
Q: The Carver Family did choose Warehouse Space A. The warehouse includes 8000 sq. ft. of showroom and…
A: In the question data, we have got square foot size of the warehouse, height of the warehouse.…
Q: Question #3 Consider the following LP model and it is graphical solution to answer questions from a)…
A: a) optimum Solutions z = 31.50 x1 = 1.00 x2 = 5.50 b) vary of optimality for objective constant…
Q: The Lotus Point Condo Project will contain both homes and apartments. The site can accommodate up to…
A:
Q: PT Ceria wants to assign its flagship manager to five offices located in five different countries…
A: Work\Job Singapore Japan Philiphines Hongkong Vietnam Abi 18 26 16 18 11 Adi 15 21 8 20 13 Ali…
Q: Field, Bell and Weiss, a consulting firm, has been engaged by the Fizzle Beverage Company to…
A: Small Introduction about Storage Capacity The activity of examining existing data storage demands…
Q: A rock group plans to travel for a total of 33 weeks, making three concert stops. They will be in…
A: Given, The total travel of a rock group is 33 weeks. They traveled to three countries Japan,…
Q: Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database…
A: solve this problem by setting up a linear program in Excel and solving using Excel -> Solver as…
Q: Four jobs are to be assigned to employees. There are 5 available employees. Durations for each…
A: The aim of an assignment problem is to assign one employee to each task in a way such that the total…
Q: Ah Heng is in egg business. He has three poultry farms, A, B and C. The eggs are sent to three…
A: The question is related to Transportation Problem. The basis rule of transportation problem is…
Q: During 2019, Susan incurred and paid the following expenses for Beth (her daughter), Ed (her…
A: The fee paid for room or tuition and board to Academy RR is eligible for deduction as Person B is…
Q: Sim-Jo-La Electronics sells a variety of electronic devices including a variety of WIFI SMART camera…
A: Given data: total cost of bulbs $108,750. Transactions made 1. To find the best methods of…
Q: Chapter 8. In Problem Set 6, we worked on a problem for Flor’s Flours, a small business that…
A: From the given data: Let the decision variables be as shown below (all in lbs): Wheat…
Q: Note: Provide the complete Linear Programming Model. Show solutions (i.e. decision variables,…
A: Decision variable: Suppose-T = No. of monthy TV spotsN = No. of monthy daily newspaper (full-page…
Q: The government is auctioning off oil leases at two sites. At each site, 150,000 acres of land are to…
A:
Q: Problem 1 Wild West produces two types of cowboy hats. A Type 1 hat requires twice as much labor…
A: Note:- We are authorized to answer one question at a time, since you have not mentioned which…
Q: Pls create a case problem with the application of linear programming distribution models with…
A:
Q: Problem 6. Rylon Corporation manufactures Brute cologne and Chanelle perfume. The raw material…
A: Note: I have answered for sub-parts (1) to (3). Kindly post the remaining sub-parts separately.
Q: 1 A minimum-cost flow problem has 4 supply nodes, 3 transshipment nodes, and 5 demand nodes. Each…
A: Below is the solution:-
Q: Ali is a student in XYZ university. All wants to apportion his available time of about 600 min. a…
A:
Q: The government is auctioning off oil leases at two sites. At each site, 150,000 acres of land are to…
A: a.
Q: Paul Bergey is in charge of loading cargo ships for International Cargo Company (ICC) at the port in…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Problem. A garment factory manufactures men's shirts and women's blouses. The production process…
A:
Q: David Joseph is a supermarket chain manager based in Milwaukee, Wisconsin. He wants to establish…
A: The organization structure is influenced by the business size and its operational activities. It…
Q: eastrand Oil Company produces two grades of gasoline: regular and high octane. Both gasolines are…
A: Given Information: 1) Daily Demand for Regular Gasoline = 900,000 gallons 2) Daily Demand for…
Q: Botany weaving was established in 1934 in Dublin Ireland and it is now an approved supplier of…
A: Find the Given details below: Given details: Plant Nano Seat Fabrics Ultra Curtains Capacity…
Q: Problem B Clarita has an online shop where she sells hand-made paintings and cards. She sells the…
A: Here clarita can work for 15 hours a week only and she takes 2hour for 1 painting to complete and 45…
Q: PROBLEM 5 Brenda Mage, an undergraduate accountancy major at Ateneo de Zamboanga University, is…
A:
Q: 2. As part of a quality improvement initiative, Consolidated Electronics employees complete a…
A: Part (A): Decision Variable: Suppose x1 = No. of the three-day training programs on team building…
Q: Problem 2 Central Critical Chemical (CCC) manufactures three chemicals: A, B and C. These chemicals…
A: The linear programming method is a mathematical method by which the best outcome where profits are…
Q: PROBLEM B As part of a quality improvement initiative, Consolidated Electronics employees complete a…
A: This question is related to the topic - Decision Making, This topic falls under Operations…
Q: Part 2. Linear Programming Problem Solving. The Philippine Packing Corporation produces two…
A: Note: - Since we can answer only up to three subparts we will answer the first three subparts(a, b,…
Q: Problem: A bicycle shop Zed and Adrian and run a small bicycle shop called "Z to A Bicycles". They…
A: Given: For Zed and Adrian a kit of 4 various actions are below: Actions: Bicycles to be bought 20…
Q: Weapon Cost (gold pieces) Damage to medium targets Critical damage Weight (pounds)…
A: Given data: Weapon Cost (gold pieces) Damage to medium targets Critical damage Weight…
Q: The government is auctioning off oil leases at twosites. At each site, 100,000 acres of land are to…
A: In the transportation model, the best method of distributing or allocating the products from the…
Q: At the present time, market shares for University, College, Battle’s and Bill’s book stores are 0.3,…
A: Answer- Time-2 university bill's college battle Market share Time-1 University 25% 0.6 0.2 0.1 0.1…
Q: CREATE A LINEAR PROGRAMMING PROBLEM (1 GRAPHICAL PROBLEM) WITH A FULL SOLUTION AND FINAL ANSWER.
A: This question is related to the topic-Decision Making and this topic falls under the operations…
Q: A travelling salesman, named Magan Shah plans to visit five cities 1, 2, 3, 4 and 5. The travel time…
A: Step-1: Find out each row minimum element and subtract it from that row 1 2 3 4 5…
Q: Melissa Beadle is a student at Tech, and she wants to decide how many hours each day to allocate to…
A: Part (A): Decision variables: Suppose x1 be the hours allocated for the class timex2 be the hours…
Q: Problem 2 Duke Energy needs to determine how much electricity to produce from each of their…
A: Let, X1 = Electicity generated by gnerator 1X2 = Electicity generated by gnerator 2X3 = Electicity…
Q: Problem A-10 A farmer in Wood County has 900 acres of land. She is going to plant each acre with…
A: Determine the optimal solution:C refers to corn, S refers to soybeans, and W refers to wheat.
Q: Problem 2 Central Critical Chemical (CCC) manufactures three chemicals: A, B and C. These hemicals…
A: Linear programming, often known as linear optimization, is a method for obtaining the best result…
Step by step
Solved in 2 steps with 3 images
- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?Problem: A farmer is planning to raise wheat and barley. Each acre of wheat yields a profit of $50, and each acre of barley yields a profit of $70. To sow the crop, two machines, a tractor and a tiller are rented. The tractor is available for 150 hours, and the tiller is available for 200 hours. Sowing an acre of wheat requires 4 hours of tractor time and 1 hour of tilling. Sowing an acre of barley requires 3 hours of tractor time and 2 hours of tilling. How many acres of each crop should be planted to maximize the farmer’s profit? (Let W be the number of acres of wheat to be planted, B the number of acres of barley to be planted and P the profit) (a) What is the objective function for the problem? (b) Excluding the non-negative constraint, how many constraints does the problem have? (c) What is the linear programming model of the problem?Problem 3 Carrington Oil produces gas 1 and gas 2 from two types of crude oil: crude 1 and crude 2. Gas 1 is allowed to contain up to 4% impurities, and gas 2 is allowed to contain up to 3% impurities. Gas 1 sells for $72 per barrel, whereas gas 2 sells for $84 per barrel. Up to 4200 barrels of gas 1 and up to 4300 barrels of gas 2 can be sold. The cost per barrel of each crude, their availability, and the level of impurities in each crude are listed in the file. Before blending the crude oil into gas, any amount of each crude can be "purified" for a cost of $3.50 per barrel. Purification eliminates half of the impurities in the crude oil. Determine how to maximize profit. Use SolverTable to determine how an increase in the availability of crude 1 affects the optimal profit. Use SolverTable to determine how an increase in the availability of crude 2 affects the optimal profit. Use SolverTable to determine how a change in the price of gas 2 changes the optimal profit and the types of…
- PROBLEM 6 An investment firm has $1 million to invest in stocks, bonds, certificates of deposit, and real estate. The firm wishes to determine the mix of investments that will maximize the cash value at the end of 6 years. Opportunities to invest in stocks and bonds will be available at the beginning of each of the next 6 years. Each dollar invested in stocks will return $1.20 (a profit of $0.20) 2 years later; the return can be immediately reinvested in any alternative. Each dollar invested in bonds will return $1.40 3 years later; the return can be reinvested immediately. Opportunities to invest in certificates of deposit will be available only once, at the beginning of the second year. Each dollar invested in certificates will return $1.80 four years later. Opportunities to invest in real estate will be available at the beginning of the fifth and sixth years. Each dollar invested will return $1.10 one year later. To minimize risk, the firm has decided to diversify its…Problem 2 Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed grades oranges on a scale of 1 (poor) to 10 (excellent). At present, Sunblessed has 100,000 pounds of grade 9 oranges and 120,000 pounds of grade 6 oranges on hand. The average quality of oranges sold in bags must be at least 7, and the average quality of the oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $1.50 and incurs a variable cost (consisting of labor costs, variable overhead costs, inventory costs, and so on) of $1.05. Each pound of oranges sold in bags yields a revenue of $1.50 and incurs a variable cost of $0.70. Determine how Sunblessed can maximize its profit. Use SolverTable to determine how a change in the cost per bag of oranges changes the optimal solution. Use SolverTable to determine how a change in the amount of grade 9 oranges available affects the optimal solution. Use SolverTable to determine…Problem 6. Rylon Corporation manufactures Brute cologne and Chanelle perfume. The raw material needed to manufacture each type of fragrance can be purchased for $60 per pound. Processing 1 pound of raw material requires 1 hour of laboratory time. Each pound of processed raw material yields 3 ounces of Regular Brute cologne and 4 ounces of Regular Chanelle perfume. Regular Brute can be sold for $140 per ounce and Regular Chanelle for $120 per ounce. Rylon also has the option of further processing Regular Brute and Regular Chanelle to produce Luxury Brute, sold at $360 per ounce, and Luxury Chanelle, sold at $280 per ounce. Each ounce of Regular Brute processed further requires an additional 3 hours of laboratory time and a $40 processing cost and yields 1 ounce of Luxury Brute. Each ounce of Regular Chanelle processed further requires an additional 2 hours of laboratory time and a $40 processing cost and yields 1 ounce of Luxury Chanelle. Each year, Rylon has 6000 hours of laboratory…
- Optimization Problem: Emesto is to plant a garden with two types of tree: palms and conifers. He is to plant at least 10, but not more than 80 palms. He is to plant at least 5, but not more than 40 conifers. He cannot plant more than 100 trees in total. Each palm needs 20 litres of water each day and each conifer needs 60 litres of water each day. There are 3000 litres of water available each day. Ernesto makes a profit of €2 on each palm and €1 on each conifer that he plants and he wishes to maximise his profit. Emesto plants x palms and y conifers.Problem 2: Comp-Max Computers assembles computers and computer equipment. It is about to start production of threenew types of computers, called model X, Y, and Z, respectively. Each type will require assembly time, inspection time, and storage space. The availability of each of these resources is limited. Specifically, available assembly time is 400 hours, available inspection time is 300 hours, and available storage space is 500 cubic feet (about 14.2 ms). The amount of each resource required for the different products is reported in the table below. Model X earns a profit of $100 per unit, model Yearns a profit of $125 per unit, and model 2 earns a profit of $200 per unit. Due to some prior agreements with customers, Comp-Max must produce at least 12 model X computers. In addition, management requires that the fraction of total production made up of model 2 computers must not exceed 25%. RESOURCE REQUIREMENTS Assembly time Inspection time Storage space MODEL hrs/unit hrsJunit cu.…Problem There are three factories on the Momiss River. Each emits two types of pollutants, labeled P1 and P2, into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $1500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0.10 ton and the amount of P2 by 0.45 ton. It costs $1000 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0.20 ton and the amount of P2 by 0.25 ton. It costs $2000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0.40 ton and the amount of P2 by 0.30 ton. The state wants to reduce the amount of P 1in the river by at least 30 tons and the amount of P2 by at least 40 tons. Use Solver to determine how to minimize the cost of reducing pollution by the desired amounts. Use SolverTable to investigate the effects of increases in the minimal reductions required by the state. Specifically, see what…
- A chocolate maker has contracted to operate a small candy counter in a fashionable store. To startwith, the selection of offerings will be intentionally limited. The counter will offer a regular mixof candy made up of equal parts of cashews, raisins, caramels, and chocolates, and a deluxe mixthat is one-half cashews and one-half chocolates, which will be sold in one-pound boxes. In addition, the candy counter will offer individual one-pound boxes of cashews, raisins, caramels, andchocolates.A major attraction of the candy counter is that all candies are made fresh at the counter. However, storage space for supplies and ingredients is limited. Bins are available that can hold theamounts shown in the table.IngredientCapacity(pounds per day)Cashews 120Raisins 200Caramels 100Chocolates 160In order to present a good image and to encourage purchases, the counter will make at least 20boxes of each type of product each day. Any leftover boxes at the end of the day will be removedand given to a…The minimum-cost flow problem could be applied_________ Option- 1. by a telephone company attempting to lay out wires in a new housing development. 2. by a forest ranger seeking to minimize the risk of forest fires. 3. None of the choices. 4. by an airline laying out flight routes. 5. All of the choices are correct. Which of the following is not an assumption of a shortest path problem? 1. Associated with each link or arc is a nonnegative number called its length, 2. The objective is to find a shortest path from the origin to the destination. 3. The lines connecting certain pairs of nodes always allow travel in either direction. 4. None of the choices. 5. A path through the network must be chosen going from the origin to the destination.The government is auctioning off oil leases at twosites. At each site, 100,000 acres of land are to be auctioned. Cliff Ewing, Blake Barnes, and Alexis Pickensare bidding for the oil. Government rules state that nobidder can receive more than 40% of the land beingauctioned. Cliff has bid $1000 per acre for site 1 landand $2000 per acre for site 2 land. Blake has bid $900per acre for site 1 land and $2200 per acre for site2 land. Alexis has bid $1100 per acre for site 1 landand $1900 per acre for site 2 land.a. Determine how to maximize the government’srevenue with a transportation model.b. Use SolverTable to see how changes in thegovernment’s rule on 40% of all land beingauctioned affect the optimal revenue. Why canthe optimal revenue not decrease if this percentage required increases? Why can the optimalrevenue not increase if this percentage requireddecreases?