An insurance company in Salah has functional departments namely, Account department, human resources department, and Sales department. Mr. Said is the personnel manager and has recruited new sales executives. The salesmen need to be deployed for immediate work to increase the sales of the company. In this instance, which department would be responsible for putting the staff to the field? a. Account department O b. Human resources department c. Sales department d. Security department
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- The Northside 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. Time No. ofTellers 9:00 a.m. – 10:00 a.m. 6 10:00 a.m. – 11:00 a.m. 4 11:00 a.m. – Noon 8 Noon – 1:00 p.m. 10 1:00 p.m. – 2:00 p.m. 9 2:00 p.m. – 3:00 p.m. 6 3:00 p.m. – 4:00 p.m. 4 4:00 p.m. – 5:00 p.m. 7 5:00 p.m. – 6:00 p.m. 6 6:00 p.m. – 7:00 p.m. 6 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 $16 per hour ($112 a day), and part-time…A library must build shelving to shelve 200 4-inch highbooks, 100 8-inch high books, and 80 12-inch high books. 8.3 Maximum-Flow Problems 419Each book is 0.5 inch thick. The library has several ways tostore the books. For example, an 8-inch high shelf may bebuilt to store all books of height less than or equal to 8inches, and a 12-inch high shelf may be built for the 12-inchbooks. Alternatively, a 12-inch high shelf might be built tostore all books. The library believes it costs $2,300 to builda shelf and that a cost of $5 per square inch is incurred forbook storage. (Assume that the area required to store a bookis given by height of storage area times book’s thickness.)Formulate and solve a shortest-path problem that couldbe used to help the library determine how to shelve thebooks at minimum cost. (Hint: Have nodes 0, 4, 8, and 12,with cij being the total cost of shelving all books of height i and j on a single shelf.)Mazy's Department Store has decided to stay open for business on a 24-hour basis. The store manager has divided the 24-hour day into six 4-hour periods and has determined the following minimum personnel requirements for each period: Time Personnel Needed Midnight4:00 A.M. 90 4:008:00 A.M. 215 8:00 A.M.Noon 250 Noon4:00 P.M. 65 4:008:00 P.M. 300 8:00 P.M.Midnight 125 Store personnel must report to work at the beginning of one of these time periods and must work for 8 consecutive hours. The store manager wants to know the minimum number of employees to assign to each 4-hour segment to minimize the total number of employees. Formulate and solve this problem.
- Winkler Furniture manufactures two different types of china cabinets: a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: carpentry, painting, and finishing. The table on this page contains all relevant information concerning production times per cabinet produced and production capacities for each operation per day, along with net revenue per unit produced. The firm has a contract with an Indiana distributor to produce a minimum of 300 of each cabinet per week (or 60 cabinets per day). Owner Bob Winkler would like to determine a product mix to maximize his daily revenue.Use Solver to solve the problem. You need to have one Excel sheet with the problem setup and another sheet with Solver solutionYou own a wheat warehouse with a capacity of 20,000 bushels. At the beginning of month 1, you have 6,000 bushels of wheat. Each month, wheat can be bought and sold at the price per 1000 bushels given in the Table Month Selling price Purchase price 1 3 8 2 6 8 3 7 2 4 1 3 5 4 4 6 5 3 7 5 3 8 1 2 9 3 5 10 2 5 The sequence of events during each month is as follows:a. You observe your initial stock of wheat.b. You can sell any amount of wheat up to your initial stock at the current month’s selling price.c. You can buy (at the current month’s buying price) as much wheat as you want, subject to the warehouse size limitation.Your goal is to formulate an LP that can be used to determine how to maximize the profit earned over the next 10 months and solve using Excel solverA company manufactures two types of trucks. Eachtruck must go through the painting shop and the assembly shop. If the painting shop were com-pletely devoted to painting type 1 trucks, 650 per day could be painted, whereas if the painting shopwere completely devoted to painting type 2 trucks,550 per day could be painted. If the assembly shopwere completely devoted to assembling truck 1engines, 1400 per day could be assembled, whereasif the assembly shop were completely devoted toassembling truck 2 engines, 1000 per day could beassembled. It is possible, however, to paint bothtypes of trucks in the painting shop. Similarly, it ispossible to assemble both types in the assemblyshop. Each type 1 truck contributes $2500 to profit; each type 2 truck contributes $3000. Use Solver to maximize the company’s profit. (Hint: One ap-proach, but not the only approach, is to try a graphi-cal procedure first and then deduce the constraints from the graph.)