Mohammed owns two trucks and accepts shipments from Dubai and transports them to Abu Dhabi. His trucks can hold up to certain load and have certain space. The following table provides the capacity limits of the trucks.

Maximum carrying capacities Load in kg Volume in cubic feet Truck 1 12000 2500 Truck 2 8000 2000 He has received orders from the local industries to transport seven shipments whose weights and volumes are provided in the following table. A shipment may be loaded in full or part. Revenue is given in AED per kg of shipment.

Weight in kg Volume in cubic feet Revenue Shipment 1 2350 940 1.50 Shipment 2 2250 675 2.50 Shipment 3 3100 620 1.50 Shipment 4 3150 1134 2.70 Shipment 5 2700 675 6.00 Shipment 6 3300 495 3.25 Shipment 7 3000 600 3.25 He wants to determine how much of each shipment should be loaded on each truck that will maximize the revenue.

a. Solve the problem using computer.

b. Which shipment is/are not completely loaded? What is/are the bottlenecks identified? Provide recommendation to remove the bottleneck(s).