# 1920 Calculus Horror

Calculus Level 4

The consumption of coal by the 1920's steamer Ayumo may be represented by the formula $$y=0.3+0.001v^{3}$$, where $$y$$ represents number of tons of coal burned per hour and $$v$$ represents speed in nautical miles per hour.

Other costs of maintenance of ship and wages, per hour, is same as cost 1 ton of coal.

• What speed will make the total cost of voyage of 1000 nautical miles a minimum?

 1. *answer of speed should be in nautical miles per hour*

2. *1 ton of coal = 10 shillings    ( if anyone takes the pain to solve the Bonus)*


Bonus: What will be that minimum cost if voyage?

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