$1.)$ Let TC $=300+100$Q $-12$Q $2+$ Q $3.$

a$.)$ Identify the fixed and variable costs in the above equation.

b$.)$ From the above equation, find the equations for AFC, AVC, ATC and MC$$in

general and then, for Q $=10.$

c$.)$ Draw the MC$,$ AVC and ATC curves in general $($p$.364\text{'}$s Fig. $9\mathrm{.}2$ except for AFC$).$

On the graph, note Q$\text{'}$ where AVC $=$ MC and Q$"$ where MC is minimized.

d$.)$ Calculate Q$\text{'}$ and Q$"$ for the above equation.

$-$Hint for Q$\text{'}$: what is happening between AVC and MC at Q$\text{'}$ and$/$or what is the

slope of AVC at Q$\text{'}?($Thus$,$ there are two ways to make this calculation.$)$

$-$Hint for Q$"$: what is the slope of MC at Q$"?$

e$.)$ Calculate AVC and MC for Q$$ and Q$$ and add it to your graph.