Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. Please note that each tricycle requires two rear wheels, the front wheel is included in the front wheel-pedal assembly. The company has orders for 15,000 of these tricycles. Current schedules yield the following information: component plastic time space cost to manufacture cost to purchase front 2 11 2 7 11 seat/frame 3 7 2 6 10 rear 0.5 2.5 0.2 2 5 available 60000 180000 35000 Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 15,000 fully completed tricycles at the minimum cost. Use Excel's Solver to obtain the optimal solution. How many of each component should be manufactured vs. purchased? What is the overall cost? What are the binding constraints? Upload a screenshot of the spreadsheet that you used to solve 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.
Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. Please note that each tricycle requires two rear wheels, the front wheel is included in the front wheel-pedal assembly. The company has orders for 15,000 of these tricycles. Current
| component | plastic | time | space | cost to purchase | |
| front | 2 | 11 | 2 | 7 | 11 |
| seat/frame | 3 | 7 | 2 | 6 | 10 |
| rear | 0.5 | 2.5 | 0.2 | 2 | 5 |
| available | 60000 | 180000 | 35000 |
Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 15,000 fully completed tricycles at the minimum cost.
Use Excel's Solver to obtain the optimal solution. How many of each component should be manufactured vs. purchased? What is the overall cost? What are the binding constraints?
Upload a screenshot of the spreadsheet that you used to solve this problem.
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