Density Enterprise Calculations
Crude Oil
Mass = density x volume = 880x1600 = 1,408,000 Kg
Total selling price = 1,408,000 x 27p = £380,160
Number of days to ship = distance/ distance boat travels in 1 day
= 7700/550 = 14 days
Transport cost = 14 x £10,000 = £140,000
Profit = £380,160 - £140,000 = £240,160
Motor Oil
Mass = density x volume = 900x1600 = 1,440,000 Kg
Total selling price = 1,440,000 x 23p = £331,200
Number of days to ship = distance/ distance boat travels in 1 day
= 20/550 = 0.04 days
Transport cost = 0.04 x £10,000 = £400
Profit = £331,200 - £400 = £330,800
Coffee Beans
Mass = density x volume = 430x1600 = 688,000 Kg
Total selling price = 688,000 x £8 = £5,504,000
Number of days to ship = distance/ distance boat travels in 1 day
= 7800/550 = 14.2 days
Transport cost = 14.2 x £10,000 = £142,000
Profit = £5,504,000 - £142,000 = £5,362,000
Glucose
Mass = density x volume = 1400x1600 = 2,240,000 Kg
This is over the maximum mass so the boat would sink
Using the maximum mass, the volume of hold used = mass/density
= 1,600,000/1400
= 1143m3
Total selling price = 1,600,000 x 10p = £160,000
Number of days to ship = distance/ distance boat travels in 1 day
= 5900/550 = 10.7days
Transport cost = 10.7 x £10,000 = £107,000
Profit = £160,000 - £107,000 = £53,000
Steel
Mass = density x volume = 7850x1600 = 12,560,000 Kg
This is over the maximum mass so the boat would sink
Using the maximum mass, the volume of hold used = mass/density
= 1,600,000/7850
= 204m3
Total selling price = 1,600,000 x 30p = £480,000
Number of days to ship = distance/ distance boat travels in 1 day
= 15900/550 = 29days
Transport cost = 29 x £10,000 = £290,000
Profit = £480,000 - £290,000 = £190,000
Magnesium
Mass = density x volume = 1738x1600 = 2,780,800 Kg
This is over the maximum mass so the boat would sink
Using the maximum mass, the volume of hold used = mass/density
= 1,600,000/1738
= 921m3
Total selling price = 1,600,000 x £230 = £368,000,000
Number of days to ship = distance/ distance boat travels in 1 day
= 3800/550 = 7days
Transport cost = 7 x £10,000 = £70,000
Profit = £368,000,000 - £70,000 = £367,930,000
Coal
Mass = density x volume = 1300x1600 = 2,080,000 Kg
This is over the maximum mass so the boat would sink
Using the maximum mass, the volume of hold used = mass/density
= 1,600,000/1300
= 1231m3
Total selling price = 1,600,000 x 75p = £1,200,000
Number of days to ship = distance/ distance boat travels in 1 day
= 1500/550 = 2.7days
Transport cost = 2.7 x £10,000 = £27,000
Profit = £1,200,000 - £27,000 = £1,173,000
Balsa Wood
Mass = density x volume = 170x1600 = 272,000 Kg
Well under weight. Because wood pile up to 50% of height extra as cuboid
50% of height is 5m
extra cuboid = 5x20x10 = 1000m3
1000m3 extra wood has mass = density x volume = 170 x 1000 = 170,000Kg
Total mass wood = 170,000 + 272,000 = 442,000 Kg Still under max
Total selling price = 442,000 x £15 = £6,630,000
Number of days to ship = distance/ distance boat travels in 1 day
= 6000/550 = 10.9 days
Transport cost = 10.9x £10,000 = £109,000
Profit = £6,630,000 - £109,000 = £6,521,000
Canadian Pine Wood
Mass = density x volume = 450x1600 = 720,000Kg
Well under weight. Because wood pile up to 50% of height extra as cuboid
50% of height is 5m
extra cuboid = 5x20x10 = 1000m3
1000m3 extra wood has mass = density x volume = 450 x 1000 = 450,000Kg
Total mass wood = 720,000 + 450,000 = 1,170,000 Kg Still under max
Total selling price = 1,170,000 x £10 = £11,700,000
Number of days to ship = distance/ distance boat travels in 1 day
= 2900/550 = 5.3 days
Transport cost = 5.3x £10,000 = £53,000
Profit = £11,700,000 - £53,000 = £11,647,000