Vandelay Industries has 275 sales reps in order to sell its latex products, each to be assigned to one of four marketing teams. If the first team is to have four times as many members as the second team and the third team is to have five times as many members as the fourth team, how can the members be distributed among the teams?
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Vandelay Industries has 275 sales reps in order to sell its latex products, each to be assigned to one of four marketing teams. If the first team is to have four times as many members as the second team and the third team is to have five times as many members as the fourth team, how can the members be distributed among the teams?
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- A large apple farm distributes their apples in boxes that they can source from any one of a number of nearby box manufacturers. Each box manufacturer makes only one box type that holds a specific number of apples - so a box from one manufacturer might hold 24 apples, while a box from another might hold 13. The apple farm can only choose one box supplier each year (a decision they make each year based on price), but they can then order an unlimited number of boxes of that type. The farm likes to be prepared, and creates large batches of apples to pack before the decision about which box type to use has been made. The farm also likes to limit waste, and tries to set the number of apples in these large batches such that they can fill an integer number of boxes perfectly with no apples left over. In creating these batches, although the farm doesn't yet know the exact capacity of the boxes they will buy, they know a list of possible values the box capacity will take. For example, if the…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…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…
- 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…This is the question. I am unsure how to begin on - Acme Parts runs a small factory and employs workers who are paid one of three hourly rates depending on their shift: first shift, $17 per hour; second shift, $18.50 per hour; third shift, $22 per hour. Each factory worker might work any number of hours per week; any hours greater than 40 are paid at one and one-half times the usual rate. In addition, second- and third-shift workers can elect to participate in the retirement plan for which 3% of the worker’s gross pay is deducted from the paychecks. Write a program that prompts the user for hours worked, shift, and, if the shift is 2 or 3, whether the worker elects the retirement (1 for yes, 2 for no). Display: Hours worked Shift Hourly pay rate Regular pay Overtime pay Total of regular and overtime pay Retirement deduction, if any Net pay. This is the way the code starts - import java.util.*; public class AcmePay { public static void main(String[] args) throws Exception {…A company manufactures 3 products in 2 different factories. The cost of production and time required for production for each product varies depending on which factory produces it. The time and cost required for production of each product in each factory is provided in the tables in this worksheet. Demand for products 1, 2 and 3 are 200, 240 and 100 units, respectively. There are a total of 3,000 hours available in each factory. Additionally, at least 60% of the total units of Product 1 must be produced in Factory A, and at least 40% of of the total units of Product 2 must be produced in Factory B. Create a linear programming model and use the Solver add-in to determine the optimal production plan that will minimize total cost. Note: The cost is per unit not per hour. All demand must be met.
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- 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…An Uni has n students who are regular competitive programmers. According to the ACM ICPC rules, each person can participate in the regional championship at most 5 times. The head of the Uni ACM Chapter is recently gathering teams to participate in this championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least k times? The first line of input contains two integers, n and k. The next line contains n integers: y1, y2, ..., yn (0 ≤ yi ≤ 5), where yi shows the number of times the i-thperson participated in the ACM ICPC Regional . Write a python program that prints how many teams can be formed according to the above problem statement. Sample Input 1 52 04510 Sample Input 2 64 012345 Sample Input 3 65 000000 Sample Output 1 1 Sample Output 2 0 Sample Output 3 2Clyde Clerk is reviewing his firm’s expense reimbursement policies with the new salesperson, Trav Farr. “Our reimbursement policies depend on the situation. You see, first we determine if it is a local trip. If it is, we only pay mileage of 45 cents a mile. If the trip was a one-day trip, we pay mileage and then check the times of departure and return. To be reimbursed for breakfast, you must leave by 7:00 A.M., lunch by 11:00 A.M., and have dinner by 5:00 P.M. To receive reimbursement for breakfast, you must return later than 10:00 A.M., lunch later than 2:00 P.M., and have dinner by 7:00 P.M. On a trip lasting more than one day, we allow hotel, taxi, and airfare, as well as meal allowances. The same times apply for meal expenses.” Draw a decision tree depicting the reimbursement policy in this Problem using LucidChart or Word document