Samsung sells its four flagship products—cell phones, TVs, computing devices, and memory storage devices—through its exclusive showroom in a city. To support sales, it has hired 20 persons and trained them to service every product. Depending on the nature of the job, the cost of overhead expenses varies. The overhead cost of the cellphone section of the showroom per day is £70, for the TV section is £65, for the computing device section is £60, and for the memory storage section is £25. The store has allotted a budget of £1,000 for the showroom per day. A cell phone serviceman generates a revenue of £480 a day, a TV serviceman, £480, a computing devices serviceman, £450, and a memory storage section serviceman, £300. Each section needs at least two servicemen. The outlet wants to determine the number of servicemen to be assigned to each section that will maximize the revenue.
a. Formulate an integer programming model for this problem.
b. Solve this model by using the computer.