.Park Clean-Up Problem Your mathematics club has arranged to carn some extra money by cleaning up Carr Park. The City Recre- ation Department agrees to pay each old member $10 and each new member $8 for their services. (Tho club did the same thing last year so the old members are experienced.) a. Define variables, then write an equation expressing the dollars the club earns in terms of the numbers of old and new members who work. b. The following facts restrict the numbers of students who can work: i. The number of old members is non-negative, and so is thi number of new members. ii. The club has at most 9 old members and at most 8 new members who can work. iii. The Department will hire at least 6 students, but no mor than 15. iv. There must be at least 3 new members. V. The number of new members must be at least 1/2 the num ber of old members, but less than 3 times the number of old members. Write inequalities for each of the above requirements. Draw a graph of the solution set of this system of inequalities. Remember that club members come only in integer quantities! d. Based on your graph, is it feasible to do without any old mem- bers at all? Explain. Shade the portion of the feasible region in which the club woulc make at least $100. f. с. е. Draw a line on the graph showing the number of old and new members needed to make $160. Is it feasible to make $160? Ex- plain. What numbers of old and new members would earn the maxi- g. mum feasible amount? What would this amount be? h. What is the minimum feasible amount the club could earn? i. Suppose tradition was broken and the new members were paid more than the old members. What would be the maximum feasi- if nan membars get $12 and old members eet $10?
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.
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