Delso Company purchased the following on January $1,20$x$1$:

$$ Office equipment at a cost of $$54,000$ with an estimated useful life to the company of three years and a residual value of $$16,200.$ The company uses the double$-$declining$-$balance method of depreciation for the equipment.

$$ Factory equipment at an invoice price of $$710,400$ plus shipping costs of $$37,000.$ The equipment has an estimated useful life of $101,000$ hours and no residual value. The company uses the units$-$of$-$production method of depreciation for the equipment.

$$ A patent at a cost of $$429,000$ with an estimated useful life of $11$ years. The company uses the straight$-$line method of amortization for intangible assets with no residual value.

The company's year ends on December $31.$

Required:

$1-$a$.$ Prepare a partial depreciation schedule of office equipment for $20$x$1,20$x$2,$ and $20$x$3.$

$1-$b$.$ Prepare a partial depreciation schedule of factory equipment. The company used the equipment for $8,800$ hours in $20$x$1,10,000$ hours in $20$x$2,$ and $9,700$ hours in $20$x$3.$

$2.$ On January $1,20$x$4,$ Sanders altered its corporate strategy dramatically. The company sold the factory equipment for $$614,340$ in cash. Record the entry related to the sale of the factory equipment.

$3.$ On January $1,20$x$4,$ when the company changed its corporate strategy, the demand for one of its products produced by using the patent was significantly reduced. Its patent had estimated future cash flows of $$289,000$ and a fair value of $$269,000.$ What would the company report on the income statement $($account and amount$)$ regarding the patent on January $1,20$x$4?$