A factory assembles two types of fitness trackers: heart-monitoring and GPS-enabled, in packs of 20 . The production processes are: assembly from kits, testing and packaging. The table gives the time required in person-hours per pack for each process and for each type, the total number of person-hours available for each process per day and the expected profit per pack for each version in pounds. The factory wishes to maximize its daily profits, given that it can sell all the packs of trackers it assembles. (a) Formulate the factory's problem as a linear programming model. (b) Use graphical methods to solve this model and interpret the solution. (c) Due to market changes, the GPS model profit can be increased to 650 per pack. Using graphical methods, determine any effect on production choices or the maximum profit, and interpret any new solution