The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces a limited demand. There are a limited number of wiring, assembly and inspection hours available next month. The data for this problem is summarized in the following table.

Computer	Profit per	Maximum demand for	Wiring Hours	Assembly Hours	Inspection Hours
Model	Model ($)	product	Required	Required	Required
Plain	30	80	0.4	0.5	0.2
Fancy	40	90	0.5	0.4	0.3
		Hours Available	50	50	22

a. Formulate the LP model for this problem.

b. Solve the problem using the graphical method.