Problem 2: Fran's Bakery makes pecan pies and apple pies. During any month, they can bake at most 65 pies. The production costs per pie and the demands for pies, which must be met on time, are listed below. It costs $0.50 to hold any of the pies in inventory for a month. Formulate a linear programming model to minimize the total cost of meeting the next three months' demands. Provide the algebraic form only. HINT: Because of the different product types, consider separate production and inventory variables for each (i.e., one multi-period diagram for each)