Almaden Hardware Store sells two product categories, tools and paint products. Information pertaining to its $2021$ year$-$end inventory is as follows:

Inventory,

by Product Category Quantity Per Unit

Cost Net Realizable Value

Tools:

Hammers $110$ $ $5\mathrm{.}10$ $ $5\mathrm{.}60$

Saws $21010\mathrm{.}109\mathrm{.}10$

Screwdrivers $3102\mathrm{.}102\mathrm{.}70$

Paint products:

$1-$gallon cans $5106\mathrm{.}105\mathrm{.}10$

Paint brushes $1104\mathrm{.}104\mathrm{.}60$

Required:

$1.$ Determine the carrying value of inventory at year$-$end, assuming the lower of cost or net realizable value $($LCNRV$)$ rule is applied to $($a$)$ individual products, $($b$)$ product categories, and $($c$)$ total inventory.

$2.$ Assuming inventory write$-$downs are common for Almaden, record any necessary year$-$end adjustment amount for each of the LCNRV applications in requirement $1.$