using hand-calculation (simplex method for linear programming)

A software development company groups projects into three main types. Type I is the least complicated with the least revenue, while type III is the most complicated with the most revenue. The hardware cost, risk factor and the number of man-days required to deliver each type are listed in the table 1 below. The upper limit of the resources which the company can spare in terms of total hardware cost, total risk factors and total man-days are assumed to be $200,000, 30 and 100, respectively. Compute the number of each type of project the company should take for maximum revenue. Type I II III Hardware Cost (S) 20,000 30,000 50,000 Risk Factor 2 4 Man-Days 10 15 20 Revenue (S) 100,000 300,000 600,000 8