A manufacturing company produces three types of desk lights (labelled A, B, and C). Before shipping a light, the company must build the frame, install the wiring and apply the packaging. Light A takes 10 minutes to build, 20 minutes to install wiring and 15 minutes to package. Light B takes 20/3 minutes to build, 20/3 minutes to install wiring and 10 minutes to package. Light C takes 5 minutes to build, 10/3 minutes to install wiring and 5 minutes to package. The total time for building, wiring, and packaging is 120,000 minutes, 46,000 minutes and 24,000 minutes, respectively. The profits are $11, $16 and $15 for light A, B, and C, respectively. Write an objective function and a set of inequalities that describes the Situation.