Question 1 Following is a standard maximization problem. Set up the initial simplex tableau for the problem. Maximize z=2X - Xz+ 2X subject to 2X + X: 0, X: 20 Question 2 A manufacturer produces three types of plastic fixtures. The time required for molding, trimming, and packaging is given in Table. (Times are given in hours per dozen fixtures.) Process Type A Type B Type Total Time Available Molding 1 2 3/2 12.000 Trimming 2/3 2/3 1 46,00 Packaging 1/2 1/3 1/2 24,00 Profit $11 S16 SIS How many dozen of each type of fixture should be produced to obtain a maximum profit? Hint: Formulate and use Simplex Algorithm. Question 3 The advertising alternatives for a company include television, radio, and newspaper advertisements. The costs and estimates for audience coverage are given in Table. Television S 2000 Newspaper S 600 Radio S 300 Cost per advertisement Audience per advertisement 100,000 40.000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio, and at least 10% should occur on television. The weekly advertising budget is $18,200. How many advertisements should be run in each of the three types of media to maximize the total audience