Problem 4: An airline needs to determine how best to meet its needs for in-flight meals on one of its international flights for the coming month. Based on anticipated passenger bookings, the airline must purchase 5000 meals for the following month. Meals may be obtained from any of the three particular suppliers. Each supplier's fixed ordering cost and cost per meal are provided in the Table. Each supplier has a maximum order size of 4000 meals. Furthermore, supplier 1 has a minimum order size of 500 meals; the other two suppliers have minimum sizes of 100 meals each. The airline wants to determine how to minimize the total cost of purchasing the required meals. Using the Table, formulate, and solve an IP model to help the airline find the best purchasing plan. Supplier costs Ordering cost Cost per meal Supplier 1 $95.00 $9.25 Supplier 2 $170.00 $8.50 Supplier 3 $200.00 $7.95 Minimum and maximum order sizes from suppliers Supplier 1 Maximum 4000 Minimum 500 Supplier 2 4000 100 Supplier 3 4000 100 Define the decision variables Define the objective function Define the constraints Determine an optimal solution