Hardhead Cement sells two brands of cement in bags: Basic(B) and Super (S). To produce a bag the bulk cement is first mixed in a Mixing Machine, and then bagged in a Bagging Machine. A bag of Basic is mixed for 2 minutes, while Super for 4 minutes. Bagging time for Basic is 3 minutes per bag and for Super 6 minutes. Manufacturing says that for today the Mixing Machine is available for only 72 minutes and the Bagging Machine must be used for more than 27 minutes. The Profit contribution of selling a bag of Basic is $4/bag, for Super it is $3/bag. Marketing wants to ensure that Super sales are greater than or equal to 30% of Basic sales. Marketing is using the LP Graphical Method as depicted below to determine how many bags of Basic (=B) and Super (=S) should be sold to maximize profits. a. In the LP model formulation, what is the equation that Hardhead is using to specify that the Bagging Machine must be used for at least 27 minutes? b. Which three (3) of the 8 arrows, lettered A through H, shown in the graph above point towards the feasible region for the three (3) constraint equations? c. Compute the vertical axis intercept (S) for the maximum Mixing Machine time line (Note: Show work just reading the answer off the chart will not get you full credit): d. Compute the optimal profit and bags of Basic and Super to sell below (for full credit do not just estimate from the graph)