Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 5R + 8C s.t. R + 3 2 C ≤ 800 Cutting and sewing 1 2 R + 1 3 C ≤ 280 Finishing 1 8 R + 1 4 C ≤ 100 Packaging and shipping R, C ≥ 0 The computer solution is shown below. Optimal Objective Value = 3640.00000 Variable Value Reduced Cost R 440.00000 0.00000 C 180.00000 0.00000 Constraint Slack/Surplus Dual Value 1 90.00000 0.00000 2 0.00000 3.00000 3 0.00000 28.00000 Variable ObjectiveCoefficient AllowableIncrease AllowableDecrease R 5.00000 7.00000 1.00000 C 8.00000 2.00000 4.66667 Constraint RHSValue AllowableIncrease AllowableDecrease 1 800.00000 Infinite 90.00000 2 280.00000 120.00000 146.66667 3 100.00000 18.00000 30.00000 (a) Determine the objective coefficient ranges. (Round your answers to two decimal places.) regular glove to catcher's mitt to (b) Interpret the ranges in part (a). (Round your answers to two decimal places.) As long as the profit contribution for the regular glove is between $ and $ , the current solution optimal. As long as the profit contribution for the catcher's mitt is between $ and $ , the current solution optimal. (c) Interpret the right-hand-side ranges. The dual values for the resources are applicable over the following ranges. (Round your answers to two decimal places. If there is no upper or lower limit, enter NO LIMIT.) (d) How much will the value of the optimal solution improve (in $) if 10 extra hours of packaging and shipping time are made available? $ cutting and sewing to finishing to packaging and shipping to
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.
- R = number of regular gloves
- C = number of catcher's mitts
leads to the following formulation: Max 5R + 8C s.t. R + 3 2 C ≤ 800 Cutting and sewing 1 2 R + 1 3 C ≤ 280 Finishing 1 8 R + 1 4 C ≤ 100 Packaging and shipping R, C ≥ 0
| Variable | Value | Reduced Cost |
| R | 440.00000 | 0.00000 |
| C | 180.00000 | 0.00000 |
| Constraint | Slack/Surplus | Dual Value |
| 1 | 90.00000 | 0.00000 |
| 2 | 0.00000 | 3.00000 |
| 3 | 0.00000 | 28.00000 |
| Variable | Objective Coefficient |
Allowable Increase |
Allowable Decrease |
| R | 5.00000 | 7.00000 | 1.00000 |
| C | 8.00000 | 2.00000 | 4.66667 |
| Constraint | RHS Value |
Allowable Increase |
Allowable Decrease |
| 1 | 800.00000 | Infinite | 90.00000 |
| 2 | 280.00000 | 120.00000 | 146.66667 |
| 3 | 100.00000 | 18.00000 | 30.00000 |
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution
