The Reeves twins are in the yard maintenance business. They want to start doing snow removal during the winter season because they practically don't have any yards to maintain. The twins are trying to determine how much equipment they need to purchase. The twins plan to do most of the work themselves and then hire some part-time workers on an individual job basis to help out. The twins gathered some data on past weather. Based on the information, they predict that there will be six big snowstorms in the coming winter. Most of their clients want the snow removed no more than two days after the snow stops falling. If the twins work for 10 hours a day, they can remove the snow from the driveway of a home in about 1 hour. However, for commercial parking lots and public sidewalks, it will take 4 hours. The variable cost per job is $12 for home driveways and $47 for commercial parking lots. The twins estimated that they will have no more than 40 homeowners and 25 businesses who would like to have snow removed. The twins are planning to charge $35 for a home driveway and $120 for commercial parking lots. The twins believe they can get more clients because this is less than the prices their current competitors are charging. The twins would like to know how many jobs of each type will maximize their profit. Instructions: Part 1: Formulate and show your complete linear programming model for this problem.
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.
The Reeves twins are in the yard maintenance business. They want to start doing snow removal during the winter season because they practically don't have any yards to maintain. The twins are trying to determine how much equipment they need to purchase. The twins plan to do most of the work themselves and then hire some part-time workers on an individual job basis to help out.
The twins gathered some data on past weather. Based on the information, they predict that there will be six big snowstorms in the coming winter. Most of their clients want the snow removed no more than two days after the snow stops falling. If the twins work for 10 hours a day, they can remove the snow from the driveway of a home in about 1 hour. However, for commercial parking lots and public sidewalks, it will take 4 hours.
The variable cost per job is $12 for home driveways and $47 for commercial parking lots. The twins estimated that they will have no more than 40 homeowners and 25 businesses who would like to have snow removed. The twins are planning to charge $35 for a home driveway and $120 for commercial parking lots. The twins believe they can get more clients because this is less than the prices their current competitors are charging. The twins would like to know how many jobs of each type will maximize their profit.
Instructions:
Part 1:
- Formulate and show your complete linear programming model for this problem.
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