John$$s Televisions produces television sets in three categories: portable, midsize, and flat$-$screen. On January $1,2025,$ John adopted dollar$-$value LIFO and decided to use a single inventory pool. The company$$s January $1$ inventory consists of:

Category

Quantity

Cost per Unit

Total Cost

Portable

$3,600$ $$100$ $$360,000$

Midsize

$4,8002501,200,000$

Flat$-$screen

$1,800400720,000$

$10,200$ $$2,280,000$

During $2025,$ the company had the following purchases and sales.

Category

Quantity

Purchased

Cost per Unit

Quantity

Sold

Selling Price

per Unit

Portable

$9,000$ $$1108,400$ $$150$

Midsize

$12,00030014,400400$

Flat$-$screen

$6,0005003,600600$

$27,00026,400$

Calculate the price index for $2025.$

Compute ending inventory, cost of goods sold, and gross profit