Problem $19-03$ Costs of Float $[$LO$1]$

Purple Feet Wine, Inc., receives an average of $$21,500$ in checks per day. The delay in clearing is typically three days. The current interest rate is $\mathrm{.}017$ percent per day.

a$.$ What is the company's float?

b$.$ What is the most the company should be willing to pay today to eliminate its float entirely?

c$.$ What is the highest daily fee the company should be willing to pay to eliminate its float entirely? $($Round your answer to $2$ decimal places, e$.$g$.$; $32\mathrm{.}16.)$

$\backslash$table$[[,,],[$a$.,$Company's float,$$,64,500],[$b$.,$Maximum payment,$$,64,557],[$c$.,$Maximum daily fee,vdots,dotsdotsdotsdotsdotsdotsdots