Use linear programming to optimize production with binding constraints
The UVI Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available, and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of $25. Each fan assembled may be sold for a $15 profit.
Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit.
Project Content
The following must be contained in your project.
A. An introductory paragraph, describing the mathematical topic used in working with the project. Indicate the outcome you are trying to optimize.
B. Identify variables and quantities it represents
C. Create a table with relationships that involve the variables identified
D. Provide constraints and label the objective function
E. Determine and meet the objective and provide calculated evidence
F. A two-paragraph reflective essay that describes
a. Your experience with this project.
b. Your recommendation to management, considering real-world implications and parallel considerations to the US industry.
Strict apa format, a least 3 sources from the last 5 years, in-text citation
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