Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon’s customers make reservations through Epsilon’s website, but a small percentage of customers make reservations via phones. Epsilon employs call center personnel to handle these reservations and to deal with website reservation system problems and for the rebooking of flights for customers whose plans have changed or whose travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon’s management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers. Epsilon analysts have estimated the minimum number of call center employees needed by day of the week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows: Day Minimum Number of Employees Needed Monday 50 Tuesday 90 Wednesday 45 Thursday 65 Friday 75 Saturday 65 Sunday 45 The call center employees work for five consecutive days and then have two consecutive days off. An employee may start work on any day of the week. Each call center employee receives the same salary. Assume that the schedule cycles and ignore start up and stopping of the schedule. Develop a model that will minimize the total number of call center employees needed to meet the minimum requirements. Let Xi = the number of call center employees who start work on day i (i = 1 = Monday, i = 2 = Tuesday...) Min X1 + X2 + X3 + X4 + X5 + X6 + X7 s.t. X1 + X4+ X5+ X6+ X7 fill in the blank 2 X1 + X2+ X5+ X6+ X7 fill in the blank 4 X1 + X2+ X3+ X6+ X7 fill in the blank 6 X1 + X2+ X3+ X4+ X7 fill in the blank 8 X1 + X2+ X3+ X4+ X5 fill in the blank 10 X2 + X3+ X4+ X5+ X6 fill in the blank 12 X3 + X4+ X5+ X6+ X7 fill in the blank 14 X1, X2, X3, X4, X5, X6, X7 ≥ 0 Find the optimal solution. X1 = fill in the blank 15 X2 = fill in the blank 16 X3 = fill in the blank 17 X4 = fill in the blank 18 X5 = fill in the blank 19 X6 = fill in the blank 20 X7 = fill in the blank 21 Total Number of Employees = fill in the blank 22 Give the number of call center employees that exceed the minimum required. Excess employees: Monday = fill in the blank 23 Tuesday = fill in the blank 24 Wednesday = fill in the blank 25 Thursday = fill in the blank 26 Friday = fill in the blank 27 Saturday = fill in the blank 28 Sunday = fill in the blank 29
Critical Path Method
The critical path is the longest succession of tasks that has to be successfully completed to conclude a project entirely. The tasks involved in the sequence are called critical activities, as any task getting delayed will result in the whole project getting delayed. To determine the time duration of a project, the critical path has to be identified. The critical path method or CPM is used by project managers to evaluate the least amount of time required to finish each task with the least amount of delay.
Cost Analysis
The entire idea of cost of production or definition of production cost is applied corresponding or we can say that it is related to investment or money cost. Money cost or investment refers to any money expenditure which the firm or supplier or producer undertakes in purchasing or hiring factor of production or factor services.
Inventory Management
Inventory management is the process or system of handling all the goods that an organization owns. In simpler terms, inventory management deals with how a company orders, stores, and uses its goods.
Project Management
Project Management is all about management and optimum utilization of the resources in the best possible manner to develop the software as per the requirement of the client. Here the Project refers to the development of software to meet the end objective of the client by providing the required product or service within a specified Period of time and ensuring high quality. This can be done by managing all the available resources. In short, it can be defined as an application of knowledge, skills, tools, and techniques to meet the objective of the Project. It is the duty of a Project Manager to achieve the objective of the Project as per the specifications given by the client.
Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon’s customers make reservations through Epsilon’s website, but a small percentage of customers make reservations via phones. Epsilon employs call center personnel to handle these reservations and to deal with website reservation system problems and for the rebooking of flights for customers whose plans have changed or whose travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon’s management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers.
Epsilon analysts have estimated the minimum number of call center employees needed by day of the week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows:
Day |
Minimum Number of Employees Needed |
| Monday | 50 |
| Tuesday | 90 |
| Wednesday | 45 |
| Thursday | 65 |
| Friday | 75 |
| Saturday | 65 |
| Sunday | 45 |
The call center employees work for five consecutive days and then have two consecutive days off. An employee may start work on any day of the week. Each call center employee receives the same salary. Assume that the
Develop a model that will minimize the total number of call center employees needed to meet the minimum requirements.
| Let | Xi = the number of call center employees who start work on day i |
| (i = 1 = Monday, i = 2 = Tuesday...) |
| Min | X1 + | X2 + | X3 + | X4 + | X5 + | X6 + | X7 | ||
| s.t. | |||||||||
| X1 + | X4+ | X5+ | X6+ | X7 | fill in the blank 2 | ||||
| X1 + | X2+ | X5+ | X6+ | X7 | fill in the blank 4 | ||||
| X1 + | X2+ | X3+ | X6+ | X7 | fill in the blank 6 | ||||
| X1 + | X2+ | X3+ | X4+ | X7 | fill in the blank 8 | ||||
| X1 + | X2+ | X3+ | X4+ | X5 | fill in the blank 10 | ||||
| X2 + | X3+ | X4+ | X5+ | X6 | fill in the blank 12 | ||||
| X3 + | X4+ | X5+ | X6+ | X7 | fill in the blank 14 | ||||
| X1, | X2, | X3, | X4, | X5, | X6, | X7 | ≥ | 0 |
Find the optimal solution.
| X1 | = | fill in the blank 15 |
| X2 | = | fill in the blank 16 |
| X3 | = | fill in the blank 17 |
| X4 | = | fill in the blank 18 |
| X5 | = | fill in the blank 19 |
| X6 | = | fill in the blank 20 |
| X7 | = | fill in the blank 21 |
Total Number of Employees = fill in the blank 22
Give the number of call center employees that exceed the minimum required.
Excess employees:
| Monday | = | fill in the blank 23 |
| Tuesday | = | fill in the blank 24 |
| Wednesday | = | fill in the blank 25 |
| Thursday | = | fill in the blank 26 |
| Friday | = | fill in the blank 27 |
| Saturday | = | fill in the blank 28 |
| Sunday | = | fill in the blank 29 |
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