Please only answer questions C&D

Peace by Chocolate is currently selling their chocolate truffles for $$2\mathrm{.}00$ per unit, and it costs them $$1\mathrm{.}20$ to produce each handmade chocolate. The rent for their property down on the Halifax waterfront and the machine that aids the chocolate makers with production costs $$10,000.$ The current volume is $30,000$ chocolates.

$($a$)$ Construct Cost $($C$),$ Revenue $($R$),$ and Profit $($P$)$ functions for Peace by Chocolate truffles in terms of $x,$ the quantity of chocolate truffles produced.

$($b$)$ Given the current production level, what is the total cost? Revenue? Profit?

$($c$)$ The firm can substantially improve the product quality by adding a new piece of equipment at an additional fixed cost of $$10,000.$ Variable cost would increase to $$1\mathrm{.}40$ per unit, but demand would jump to $50,000$ units due to a higher$-$quality product. Should the company buy the new equipment?

$($d$)$ Now, Peace by Chocolate is considering the new equipment and increasing the selling price to $$2\mathrm{.}50$ per unit. With the higher$-$quality product, but a slightly increased price, the new demand is expected to be $40,000$ units. Under these circumstances, should the company