A trucking company maintains an inventory of trucks that varies monthly. The ending inventory levels of trucks during the first $8$ months of the year$($January to August$)$ were $26,38,31,22,13,9,16,5,$ respectively. The monthly inventory holding cost is proportional to the monthly ending inventory. Trucks incur the following costs

each truck costs the company $$8000$

interest rate on the cost of capital is $20\%$ per annum $($annually$).$

each truck incurs a storage cost of $3\%$ per annum of the truck cost.

each truck incurs a liability insurance cost of $2\%$ per annum of the truck cost.

The carrying cost is the total of all costs $($capital$,$ storage, and insurance$)$

Answer the following questions:

$1\mathrm{.}1$ what is the monthly carrying cost per truck?

$1\mathrm{.}2$ What is the total carrying cost incurred by the company over the $8$ months $($January to August$)?$

$1\mathrm{.}3$ What is the total annual carrying cost?