(Solved): A gas station sells \( Q \) gallons of gasoline per year, which is delivered \( N \) times per year ...

A gas station sells \( Q \) gallons of gasoline per year, which is delivered \( N \) times per year in equal shipments of \( \frac{Q}{N} \) gallons. The coul of each delivery is d dollars and the yearly sorage costs are sQT, where \( T \) is the length of time (a fraction of a year) berween shipments and s is a constant. Which valoe of \( N \) minimire the crsts? Hint: Express \( T \) in terms of \( N \). (Use symbolic notation and fractions where necded.) \( \mathrm{N} \) Find the optimal number of deliveries if \( Q=4 \) million gal, \( d=57000 \), and \( s=33 \) centUgal-yr. (Your answer should be a whole number, so compare costs for the two integer values of \( N \) nearest the optimal value)