Messy LP Problem: Mr. Smith has a factory that makes alarm clock, radio, and alarm clock with radio that uses similar components. Alarm clocks can be sold for about $5; radios can be sold for about $3; and alarm clock with radio can be sold for $7. The requirement for each product is listed as follows: Display Case Counter Receiver constraint = columns Alarm clock Radio Alarm clock with radio 2 Mr. Smith has 4,000 displays at a cost of $0.55 each, 3,000 cases at $0.75 each units, 3,500 counters at $0.10 each, and 2,500 receiver at $0.6. How should Mr. Smith manage this production to maximize the profit? a. Provide the linear programming formulation. (Submit a MS Word document for this part of the question or a scanned PDF file with all of the equations) b. Solve this problem and provide the sensitivity report (Submit an Excel file for this part of the question) C . In the Excel file (or the MS Word document) indicate if a constraint has a slack, a surplus, or a binding constraint. d. Identify any resource that you like to change. Explain your reasoning. OY