A computer company manufactures 3 types of computers which arepersonal computers, workbooks and gamebooks. Each personal computeris produced in 0.2 hours, assembled in 0.1 hours, and inspected in0.05 hours. Each workbook is produced in 0.2 hours, assembled in0.3 hours, and inspected in 0.075 hours. Each gamebook is producedin 0.4 hours, assembled in 0.4 hours, and inspected in 0.15 hours.At most 600 hours of production, 480 hours of assembly and 160hours of inspection can be done. The company profits 60$ from apersonal computer, 90$ from a workbook, 100$ from a gamebook.Besides, due to the lack of demand, at least 60 personal computershould be ready in the inventory. Formulate an LP that can be usedto maximize the profit of computer company. Explain each decisionvariable, objective function, and constraint with at least onesentence. Write down the standard form and add artificial variablesif needed. Find a basic feasible solution to start simplex. Solvethe LP by using simplex method step by step. Write down the optimalsolution.
