A small business assumes that the demand function for one of its new products can be modeled by

p $=$ Cekx.

When p $=$ $$40,$ x $=900$ units, and when p $=$ $$35,$ x $=1400$ units.

$($a$)$

Solve for C and k$.($Round C to four decimal places and k to seven decimal places.$)$

C$=$ k$=$