ay Industries has 275 sales reps in order to sell its latex products, each to be assigned f four marketing teams. If the first team is to have four times as many members as the ceam and the third team is to have five times as many members as the fourth team, a the members be distributed among the teams?
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- Katanga Stars is a team of women who perform cultural dance at various functions across the country. The team has a fixed membership of 9 members. Within these 9 members, there is a management committee of 4 members. For each function where they are hired to perform, the amount collected is different and is distributed as follows;• 50% of the fees goes to the consolidated account where each member owns equal shares.• The remaining 50% is shared among the 9 members such that each of the 4 management committee members gets 6.25% and each of the other members not on management committee gets 5%.For example, suppose Katanga Stars is paid UGX 1,000,000/= for a performance at a certain wedding ceremony, then, UGX 500,000/= goes to the consolidated account. Each management committee member gets UGX 62,5000/= while each of the other members gets UGX 50,000/=By assuming that Katanga Stars performs in exactly 5 places in a year, write a C program that performs the following tasks;• Uses a loop…The city of Bloomington is about to build a new watertreatment plant. Once the plant is designed (D), we canselect the site (S), the building contractor (C), and theoperating personnel (P). Once the site is selected, we canerect the building (B). We can order the water treatmentmachine (W) and prepare the operations manual (M) onlyafter the contractor is selected. We can begin training (T)the operators when both the operations manual and operatingpersonnel selection are completed. When the treatment plantand the building are finished, we can install the treatmentmachine (I). Once the treatment machine is installed andoperators are trained, we can obtain an operating license(L). The estimated mean and standard deviation of the time(in months) needed to complete each activity are given inTable 8. Use simulation to estimate the probability that theproject will be completed in (a) under 50 days and (b) morethan 55 days. Also estimate the probabilities that B, I, andT are critical…A large paper manufacturing company, the Quality Paper Corporation, has 10 paper mills from which it needs to supply 1,000 customers. It uses three alternative types of machines and four types of raw materials to make five different types of paper. Therefore, the company needs to develop a detailed production distribution plan on a monthly basis, with an objective of minimizing the total cost of producing and distributing the paper during the month. Specifically, it is necessary to determine jointly the amount of each type of paper to be made at each paper mill on each type of machine and the amount of each type of paper to be shipped from each paper millto each customer. The relevant data can be expressed symbolically as follows:Djk = number of units of paper type k demanded by customer j,rklm = number of units of raw material m needed to produce 1 unit of paper type k on machine type l,Rim = number of units of raw material m available at paper mill i,ckl = number of capacity units of…
- A company manufactures two types of trucks. Each truck must go through the painting shop and the assembly shop. If the painting shop were completely devoted to painting type 1 trucks, 800 per day could be painted, whereas if the painting shop were completely devoted to painting type 2 trucks, 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, 1500 per day could be assembled, whereas if the assembly shop were completely devoted to assembling truck 2 engines, 1200 per day could be assembled. It is possible, however, to paint both types of trucks in the painting shop. Similarly, it is possible to assemble both types in the assembly shop. Each type 1 truck contributes $1000 to profit; each type 2 truck contributes $1500. Use Solver to maximize the company’s profitG-Motor manufactures airplane engines and has an annual capacity of ? units. For the current production facilities, the company has an annual cost of $?? million. G-motor plans to expand its current aircraft engine capacity in light of anticipated growth in aircraft engine demand in the coming years. The company intends to expand its manufacturing capacity by establishing new facilities. Production facilities can be set up in two ways (called as type A and type B). While the cost of establishing a type A manufacturing facility in any given year is $??, the production capacity of such a facility is ?? units. The cost of establishing a Type B manufacturing facility is $??, and the anticipated production capacity is ?? units. Annual expenditures for any facility of type A or B are projected to be $? million dollars. G-Motor aims to make a decision about the establishment of a new facility during the planned period t=2022, 2023,...,T. The demand for aircraft engines in the coming years is…Sprocket manufacturing. The manager of this production firm is faced with a potential problem: shortages in the supply of a vital gear sprocket. He is considering the development of an in-house capability to make the sprockets, knowing that the firm needs 35,000 such sprockets each year. If the firm elects to make the sprockets internally, then it must select one of the three possible production processes. Each has different costs, as shown in Table 10.17. Adopting a manual process may lead to union problems. The manager estimates the probability of these problems as 25%, and knows that if they do occur, then the variable cost will increase by $0.50 per sprocket. Further, if the semi-automatic or fully automatic option is selected, then additional training of personnel will be required. The amount and therefore the cost of training are uncertain. For the semi-automatic process, the fixed cost of basic training will add $15,000. However, there is a 20% chance the workers will need extra…
- A company manufactures three products 1, 2, and 3. Each product requires production time in three departments as shown below: PRODUCT DEPARTMENT 1 DEPARTMENT 2 DEPARTMENT 3 1 3 hr/unit 2 hr/unit 1 hr/unit 2 4 hr/unit 1 hr/unit 3 hr/unit 3 2 hr/unit 2 hr/unit 3 hr/unit There are 500, 400, and 300 hours of production time available in the three departments, respectively. If products 1, 2, and 3 contribute $3, $4, and $2.5 per unit to profit, answer the following questions: (You may attach your solution or write in the box) a) Define the decision variables (2 marks). b) Write all constraints (3 marks). c) Write the objective function (define whether it is a maximization or minimization) (1.5 marks)Part 1. The Bavarian Motor Company (BMC) manufactures expensive luxury cars in Hamburg, Germany, and exports cars to sell in the United States. The exported cars are shipped from Hamburg to ports in Newark, New Jersey and Jacksonville, Florida. From these ports, the cars are transported by rail or truck to distributors located in Boston, Massachusetts; Columbus, Ohio; Atlanta, Georgia; Richmond, Virginia; and Mobile, Alabama. The below figure shows the possible shipping routes available to the company along with the transportation cost for shipping each car along the indicated path. Currently, 200 cars are available at the port in Newark and 300 are available in Jacksonville. The numbers of cars needed by the distributors in Boston, Columbus, Atlanta, Richmond, and Mobile are 100, 60, 170, 80, and 70, respectively. BMC wants to determine the least costly way of transporting cars from the ports in Newark and Jacksonville to the cities where they are needed. Formulate the LP and solve it…Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. How much capacity in percent does a single truck of each type uses at each shop?
- The WIX Company Civil Engineers consists of two divisions. The divisions are Water and Waste Water. The company sells engineering services to various customers. The following are the bill rates for the various staff classifications: Vice President $200/hour Senior Engineer $180/hour Staff Engineer $150/hour. The two divisions expect to bill the following hours: Water- 10000 hours, vice president at 10% of the time, 30% of Senior Engineer time and remaining to Staff Engineers. Waste Water- 6000 hours, vice president at 20% of the time, 20% of Senior Engineer time and remaining to Staff Engineers. The Direct Labor costs per hours are as follows: Vice President $80/hour Senior Engineer $60/hour Staff Engineer $40/hour. The utilization for each staff members are as follows: Vice President 60% Senior Engineer 80% Staff Engineer 90%. The company has the following other costs: Admin Salaries $90,000 Rent $100,000 Utilities $6,000 Benefits $76,000 Assume 20% of time for each staff member…A company owns the same asset in a ASIAN plant and in a UK plant . It has B $2,000,000 and a salvage value of 20% of B . For tax depreciation purposes, ASIA allows a straight line write-off over 5 years, while the UK allows SL write-off over 8 years. The general managers of the two plants want to know the difference in the depreciation amount for year 5.Borges Machine Shop, Inc., has a 1-year contract for the production of 75,000 gear housings for a new off-road vehicle. Owner Luis Borges hopes the contract will be extended and the volume increased next year. Borges has developed costs for three alternatives. They are general-purpose equipment (GPE), flexible manufacturing system (FMS), and expensive, but efficient, dedicated machine (DM). The cost data follow: Annual contracted units Annual fixed cost Per unit variable cost General-Purpose Equipment (GPE) 75,000 $100,000 $18.00 Flexible Manufacturing System (FMS) 75,000 $250,000 $14.50 Dedicated Machine (DM) 75,000 $500,000 $13.00