optimization subject pls solve 1st question

2) (40 points) Chargers-are-us bakery, makes pumpkin pies and cinnamon apple cider donuts during November of each year. During any week, they can bake at most 65 pumpkin pies and 90 donuts. The costs and the demands for pies and donuts, which must be met on time, are listed in the Table. It costs $1 to hold a pumpkin pie, and 50 to hold a cinnamon apple cider donut, in inventory for a week. Pumpkin Cinnamon apple cider pie donut Week 1 Demand 60 75 Cost ($ per 3 2 item) Week 2 Demand 70 50 Cost ($ per 3.4 2.8 item) Week 3 Demand 45 100 Cost ($ per 3.2 2.5 item) Week 4 Demand 75 85 Cost ($ per item) 3.1 2.7 a) (20 points) Formulate a linear programming model to minimize the total cost of meeting the next four weeks demands. b) (15 points) Solve the linear program using the IBM ILOG CPLEX Optimization Studio. c) (5 points) How would your objective function change if you want to minimize the total cost of inventory