Loading Lead And Cotton Cargo

You are to load lead, SF 18 and cotton, SF 78. The available deadweight capacity is 1,600 tons of cargo and cubic capacity is 58,800 cu. ft. Disregarding broken stowage, how much of each cargo should be loaded to make her full and down?

Given:

                        Weight = 1,600 tons
               Hold volume = 58,800 ft³
   Lead stowage factor = 18
Cotton stowage factor = 78

What is asked?

Weight in tons of lead and cotton

Solution:

Weight of cotton = Hold volume - (weight × SF lead)

                                SF of cotton - SF of lead

                          = 58,800 - (1,600 × 18)

                                       78 - 18

                          = 30,000

                                60

                          = 500 tons

 
   Weight of lead = Hold volume - (weight × SF of cotton)
                                SF of cotton - SF of lead
                          = 58,800 - (1,600 × 78)
                                   78 - 18
                          = 1,100 tons