Answer: The answers are entwined in the explanation.
Explanation:
The length of time for which each taxpayer held the asset AND the amount or percentage of tax payed by each taxpayer ARE NOT GIVEN but the amount and character of the gains and losses are shown below, as estimated:
(A) Taxpayer Kara Lee
The amount of Kara Lee's gain is $6,000
The character of this gain is SHORT TERM
The amount of Kara Lee's loss is $39,000 ($45,000 - $6,000)
The character of this loss is LONG TERM
(B) Taxpayer Teller Gallery
The amount of Teller Gallery's gain is $4,000 ($10,000 - $6,000)
The character of this gain is SHORT TERM as the gallery sold to a regular customer (meaning that the painting didn't stay long in their possession)
The amount of Reller Gallery's loss is $35,000 ($45,000 - $10,000)
The character of this loss is LONG TERM
(C) Taxpayer Lollard Inc.
The amount of Lollard Inc.'s gain is $35,000
The character of this gain is LONG TERM because the question says that Lollard displayed the painting in the lobby of its corporate headquarters UNTIL it sold for $45,000. This means that the asset "Shenandoah Skies" was held for a long time by/at Lollard Inc.
On the other hand, Lollard Inc. has no loss on sale of the painting until the Dallas Collector (who bought it from them) resells it and at a price higher than $45,000.