A worldwide shortage of microchips has prompted an entrepreneur to open a microchip assembly plant. The plant will produce two kinds of microchips, called M1 and M2. The operations at the plant have been algebraically modeled as follows: the number of M1 chips made each week X= the number of M2 chips made each week - - maximize 25X + 75X subject to assembly-line 1 5X, A assembly-line 2 12X, + assembly-line 3 8X + total production X + X production of M1 chips production of M2 chips proportion non-negativity 0.8X X 10X 8X 14X X X 0.2X2 X > 102000 105000 136000 12000 3000 7500 0 0 In both parts (a) and (b) include your name and student number in the model (for LINGO, begin a line or set of comment lines with an exclamation mark). Also, everything in the algebraic model must appear in the computer models. NOTE: Do this also for all computer models in future assignments. (a) Solve the model using LINGO. Copy-and-paste both the model and the solution report into the single Word or pdf document. (b) Solve this model using the Excel Solver. Copy-and-paste both the model and the answer report into the single Word or pdf document. (c) Write the solution in words as would be given to the manager of the microchip making facility. If management doesn't have the time to monitor all things at the microchip assembly plant, on which of the constraints should they concen- trate their efforts?