ullseye Shirt Company makes three types of shirts: athletic, varsity, and surfer. The shirts are made from different combinations of cotton and rayon. The cost per yard of cotton is $5 and the cost for rayon is $7. Bullseye can receive up to 4000 yards of cotton and 3000 yards of rayon per week. Shirt Total Yards of Fabric per Shirt Fabric Requirement Minimum Weekly Contracts Maximum Demand Selling Price Athletic 1.00 at least 60% cotton 500 600 $30 Varsity 1.20 no more than 30% rayon 650 850 $40 Surfer 0.90 as much as 80% cotton 300 700 $36 Assume that the decision variables are defined as follows: A = total number of athletic shirts produced V = total number of varsity shirts produced S = total number of surfer shirts produced C = yards of cotton purchased R = yards of rayon purchased Xij = yards of fabric i (C or R) blended into shirt j (A, V or S) Write the objective function. Write the constraints for the fabric requirements. Write the constraints for the total number of shirts of each style produced
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.
- Bullseye Shirt Company makes three types of shirts: athletic, varsity, and surfer. The shirts are made from different combinations of cotton and rayon. The cost per yard of cotton is $5 and the cost for rayon is $7. Bullseye can receive up to 4000 yards of cotton and 3000 yards of rayon per week.
Shirt |
Total Yards of Fabric per Shirt |
Fabric Requirement |
Minimum Weekly Contracts |
Maximum Demand |
Selling Price |
Athletic |
1.00 |
at least 60% cotton |
500 |
600 |
$30 |
Varsity |
1.20 |
no more than 30% rayon |
650 |
850 |
$40 |
Surfer |
0.90 |
as much as 80% cotton |
300 |
700 |
$36 |
Assume that the decision variables are defined as follows:
A = total number of athletic shirts produced
V = total number of varsity shirts produced
S = total number of surfer shirts produced
C = yards of cotton purchased
R = yards of rayon purchased
Xij = yards of fabric i (C or R) blended into shirt j (A, V or S)
- Write the objective function.
- Write the constraints for the fabric requirements.
- Write the constraints for the total number of shirts of each style produced.
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