-FOLLOW ALL THE STEPS AND ANSWER WITH PROPERLY CITATION AND REFERENCE, APA Style , NO PLAGIARISM .
-Using LINGO for all LP solving problems (unless it says you need to solve it using the graphical method).
Anderson, D.R., Sweeney, D.J., Williams, T.A., Camm, J.D., Cochran, J.J., Fry, M., & Ohlmann, J. (2015). Quantitative methods for business. (13th ed.). Mason, Ohio: Cengage Learning.
-For the report, keep it short and focused. No point writing too much. Brevity is key. For your own learning consider the business implications of the analysis (i.e., do not reduce it to a simple math problem). You will utilize the answers to make business decisions. No need for references unless you used a tool or technique from elsewhere. Writing should be understandable to any non-LP expert. Use tables to clearly organize the results. Use bullet points where necessary to emphasize your takeaway message.
General structure of the report is as follows (Please use these headers):
Brifely describe the objectives.
Briefly describe the problem and the objectives. Write in simple language.
Briefly describe the LP model in simple language. Brifely explain the objective function and the constraints in simple language. No need to explain how you input the model to LINGO or Excel and how those tools gave you the answer.
Report the optimal answer from LINGO. Include the Binding constraints (slack / surplus) and sensetivity analysis from LINGO as well. Make sure that these answers are clearly highlighted.
Describe your business decisions. This part shows your critical thinking.
Copy paste (or use screenshots of) :
Case studies are used to enable you to apply new concepts, use the tools you have mastered, and improve the technical skills you have attained. Through the individual case studies you will discover for yourself the usefulness of quantitative problem solving methods, how to apply them in practice, and their benefit to organizational decision-makers.
ABCD, Ltd. is a sports equipment manufacturer that owns and operates a number of manufacturing plants across the country. The company operates one particular plan where both footballs and basketballs are manufactured. While the company has some flexibility to move manufacturing effort between basketball and football production, the current processes do impose limits on the minimum and maximum number of each ball that can be produced.
Production capacity, cost of materials, labour costs, manufacturing time, and other known constraints are provided below:
Production Capability and Constraints (All unit costs are in $ and time in hours):
ABCD believes it can sell each basketball for $14.00 and each football for $11.00. Further, the company believes that cost of material and labour costs will not change over the next production cycle. The corporate tax rate is 28%.
The company wants to determine the ideal number of basketballs and footballs to manufacture that will maximize the facility’s net profit after taxes.
Prepare a written management report that includes, at a minimum, the following sections:
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