A baseball glove manufacturer makes gloves for infielders and catchers at a facility in Asia. An infield glove requires 2.2 hours of labor, and produces a profit of $12 on the American market. A catcher's glove takes 2.9 hours of labor, with a profit of $15. For the coming month the facility has 2900 hours of labor available, and is tasked to produce at least 455 infield gloves and 210 catcher's gloves. An additional requirement is that no more than 260 catcher's gloves be produced. a. Formulate the problem (list the objective function, decision variables, and constraints separate from your Excel solution matrix). b. What production plan will result in the maximum profit for the facility?