The international Red Cross is making plans to airlift emergency food and medical supplies into a large city which has experienced an earthquake. Four items will be will be airlifted in containers to aid the recovery from the earthquake. The four items to be considered for the first airplane to be sent to the city as well as the volume are shown in the table below:
Item | Volume per
container | Weight per
container | Cost per
container | Blood
Medical Supply
Food
Water | 20 cubic feet
30 ”
8 ”
6 ” | 150 pounds
100 ”
60 ”
70 ” | $ 1,000
$ 300
$ 400
$ 200 |
|
|
The volume capacity of the space is 6,000 cubic feet and the weight capacity is 40,000 pounds. In addition, the amount of money available for the purchase of supplies totals $150,000. Initial reports indicate that the most needed item is water. To respond to this need, Red Cross officials have specified that the number of containers of water shipped should be twice the combined number shipped of blood and medical kits. Red Cross officials want to determine if there is some combination of the four items which will fill the plane to its weight and volume capacities, expend the full budget $150,000 and satisfy the requirement regarding the shipment of water. Advise the officials accordingly.