A cargo transport plane is to be loaded to maximize the revenue from the load carried. The plane may carry any combination and any amount of cargoes A, B, and C. The relevant values for these cargoes are shown in the table at the top of p. 110.€ƒ

The plane can carry as many as 32 tons of cargo. The plane is subdivided into compartments, and there are weight and volume limitations for each compartment. It is critical for safety reasons that the weight ratios be strictly observed. The requirements for cargo distribution are shown in the following table.

Which cargoes should be carried, and how should they be allocated to the various compartments?

CARGO TONS REVENUE VOLUME PER TYPE AVAILABLE PER TON TON (cu. FT) $700 2,000 3,500 3,000 10 12 17 $725 $685 MAXIMUM COMPARTMENT VOLUME WEIGHT/TOTAL (CU. FT WEIGHT RATIO 16.000 Must equal 18%oftotal 20,000 weight loaded COMPARTMENT Right fore Right center Right aft Left fore Left center weight loaded Must equal 25% of total 14.000 Must equal 7% oftotal weight loaded Must equal 1 8% of total 10,000 weight loaded Must equal 25% of total 20,000 0weight loaded Left aft Must equal 7% of total 12,000 weight loaded