On December $31,2023,$ Jen & Mink Clothing $($J&M$)$ performed the inventory count and determined the year$-$end ending inventory value to be $$81000.$ It is now January $8,2024,$ and you have been asked to double$-$check the year$-$end inventory listing. J&M uses a perpetual Inventory system. Note: Only relevant Items are shown on the Inventory listing.

The following situations have been brought to your attention:

a$.$ On January $3,2024,$ J&M recelved a shipment of $111$ blue Jackets, for $$3,441($Item #$7649).$ The inventory was purchased December $23,2023,$ FOB destination from Global Threads. This inventory was included in J&M$\text{'}$s inventory count and inventory IIsting.

b$.$ On December $29,2023,$ J&M sold scarves $($tem #$5566)$ to a customer with a sale price of $$810$ and cost of $$555,$ FOB shipping. The order was shipped on December $30,2023.$ J&M has not included this inventory.

c$.$ Red Blazers $($Item #$6193)$ were purchased and shipped from International Co$.$ on December $30,2023,$ for $$3,410,$ FOB shipping. The shipment arrived January $5,2024,$ and the appropriate party paid for the shipping charges of $$830.$ Additional costs were $$275$ for import dutles and $$82$ for insurance during shipment. J&M has not included this inventory.

d$.$ At year$-$end, J&M is holding $$8,372$ of black pants $($Item #$10824)$ on consignment for designer Duke Co$.$ This inventory was included In J&M$\text{'}$s inventory count and inventory listing.

e$.$ On December $31,2023,$ J&M shipped white shirts $($Item #$4291),$ FOB destination costing $$1,165$ to a customer. The customer was charged $$1,400$ and the customer recelved the goods on January $3,2024.$ J&M has not included this inventory.

Required:

In situations $($a$)$ to $($e$)$ determine whether inventory should be included or excluded in inventory at December $31,2023.$ If the Inventory should be included, determine the correct inventory cost.