Your company has purchased intellectual property to a newly discovered laboratory process in which the following chemical reactions convert raw materials a and b to a valuable product t: a + b + x+y b+ x + 2z y +2 t among the compounds in this reaction mechanism, only a and b are available in the market (at $10/mol each), whereas x, y and z are not available for purchase. there is a big market for t in the united states (current selling price $50/mol), but little demand for x, y or z. exporting x, y or z to other countries is not an option at this point. to leverage this new ip acquisition, your company needs to design a chemical process that minimizes the cost of feed to produce one mole of t. a. in order to maximize profit, could you design a process to produce t by avoiding net production of all three intermediates x, y and z? b. calculate the minimum number of moles of feed and the molar proportion of the feed required by the process to produce 1 mol t. mathematically, one approach is to assume x1 and x2 as the coefficients of two of the chemical reactions and minimize a quantity related to x1 and x2. another slightly longer approach is to assume x1 and x2 to be the moles of a and b in the feed, x3 and x4 to be the coefficients of two of the reactions, and to minimize the quantity 2x1 + x2 (or maximize - [2x1 + x2]). report the number of moles and molar composition of this optimal feed. you must solve this problem graphically. note: it is a bit awkward to employ variables such a to represent number of moles, but let us stick to the standard lp notation where all variables are represented by xi.