The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Labor-Hours Required (hours/unit) Department Product 1 Product 2 Hours Available A 1.00 0.35 100 B 0.30 0.20 38 C 0.20 0.50 50 Profit contribution/unit $30.00 $15.00 (a) Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. If required, round your answer to two decimal places. Product 1 Product 2 Production (b) In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? What is the upper limit of what you would be willing to pay per hour of overtime in the department you recommended? If required, round your answer to two decimal places. (c) Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal production quantities, and what is the revised total contribution to profit? If required, round your answer to two decimal places. Product 1 Product 2 Production If required, round your answer to nearest whole number. Total Profit $ How much overtime do you recommend using in each department? If required, round your answer to two decimal places. If you answer is zero, enter “0”. OT hours: Dept. Used A B C What is the increase in the total contribution to profit if overtime is used? If required, round your answer to nearest whole number.
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 management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability:
| Labor-Hours Required (hours/unit) |
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| Department | Product 1 | Product 2 | Hours Available | ||
| A | 1.00 | 0.35 | 100 | ||
| B | 0.30 | 0.20 | 38 | ||
| C | 0.20 | 0.50 | 50 | ||
| Profit contribution/unit | $30.00 | $15.00 |
| (a) | Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. | ||||||||||
| If required, round your answer to two decimal places. | |||||||||||
|
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| (b) | In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend |
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| What is the upper limit of what you would be willing to pay per hour of overtime in the department you recommended? | |||||||||||
| If required, round your answer to two decimal places. | |||||||||||
| (c) | Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal production quantities, and what is the revised total contribution to profit? | ||||||||||
| If required, round your answer to two decimal places. | |||||||||||
|
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| If required, round your answer to nearest whole number. | |||||||||||
| Total Profit $ | |||||||||||
| How much overtime do you recommend using in each department? | |||||||||||
| If required, round your answer to two decimal places. If you answer is zero, enter “0”. | |||||||||||
|
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| What is the increase in the total contribution to profit if overtime is used? | |||||||||||
| If required, round your answer to nearest whole number. |
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