Answer Happy

The following company produces laptops. The laptops are assembled in 3 different plants. There are 3 models of laptops: single speed, medium speed and large speed. As part of the assembly process, the laptop requires a specific quantity of microprocessor installed based on laptop model. The unit net profits, maximum daily demand, and microprocessor requirements for these laptops are in the table below. The maximum daily assembly capacity, for any mix of laptops is given below. The maximum microprocessor production per day, in units, is below too. Product Model Sales price ($ / laptop) Maximum demand (laptops / day) Microprocessors requirements (units / laptop) 2 Single speed Medium speed Large speed $500 $1000 $2000 900 600 250 4 6 Plant 1 Assembly capacity (laptops/day) 450 750 425 Maximum microprocessors production (units/day) 750 600 500 2 3 a. (18 points). Formulate a Linear Programming that allocates the production of the three model of laptops in the three plants in a manner that maximizes profit. (Do not resolve, only formulate the linear programming with its components).