Problem $17.(9$ points$)$

The table below shows cost, $C(q),$ and revenue, $R(q).$

$\backslash$table$[[q,0,500,1000,1500,2000,2500,3000],[R(q),0,1875,3750,5625,7500,9375,11250],[C(q),6000,6742\mathrm{.}5,7113\mathrm{.}757402\mathrm{.}5,7691\mathrm{.}25,8351\mathrm{.}25,10125,]]$

At approximately what production level, $q,$ is profit maximized?

$q$~~ units

What is the price of the product?

price $=$ dollars

What are the fixed costs?

fixed costs $=$ dollars

Note: You can earn partial credit on this problem.