The demand function for a certain product is determined by the fact that the product of the price and the quantity demanded equals $6000.$ The product currently sells for $$3\mathrm{.}30$ per unit. Suppose

manufacturing costs are increasing over time at a rate of $16\%$ and the company plans to increase the price $p$ at this rate as well. Find the rate of change of demand over time.

Find the demand function represented in this problem where $p$ is the price of the product and $q$ is the quantity demanded for the product.

$($Type an equation.$)$