QUESTION 6 Olabisi Chemical Company produces three types of plastic materials A, B and C. The time (hours) required for molding one dozen of each material is 1,2 and 23 respectively. The corresponding time for trimming is 2/3,2/3 and 1 respectively and that for packaging is 1/2,1/3 and 1/2 respectively. The time (hours) available for molding, trimming and packaging is 12,000,4,600 and 2,400 respectively. The profit per dozen of A,B and C is A11,A16 and N15 respectively. Determine how many dozens of each type of plastic material the company should produce to obtain a maximum profit by: (i) Constructing a table for the mathematical program of the problem. (ii) Generate the first simplex Tableau for the