A video-recording system was purchased 4 years ago at a cost of $37,000. A 5-year recovery period and DDB (Double Declining Balance) depreciation have been used to write off the basis. The system is to be replaced this year with a trade-in value of $5,000. What is the difference between the book value and the trade-in value

The trade in value is higher than the book value by $ 205

Explanation:

Computation of Book value

In a double declining balance method of depreciation, the rate of depreciation is double the straight line rate and is depreciated on a declining balance.

Cost of Equipment                                                                            $ 37,000

Estimated useful life ( Recovery Period)                                             5 years

Straight Line Depreciation rate                                                            20 %

Double declining Method depreciation  rate                                      40 %

Cost                                                                                                     $ 37,000

Depreciation for year 1   at 40 %                                                        $(14,800)

Depreciable basis for year 2                                                              $ 22,200

Depreciation for year 2   at40 %                                                       $ ( 8,880)

Depreciable basis for year 3                                                              $  13,320

Depreciation for year 3   at 40 %                                                        $ (5,328)

Depreciable basis for year 4                                                               $   7,992

Depreciation for year 4   at 40 %                                                        $    3,197)

Depreciable basis for year 5                                                                $  4,795

The depreciable basis for year 5 is the net book value after 4 years

The trade value is                                                                                  $ 5,000

The trade in value is higher by                                                             $     205

answer: marginal utility of the fourth brownie is 0.

explanation: marginal utility is the addtional utility gained from the consumption of one more unit of a good. it is given by,

so, marginal utility at the 4th unit will be given by

since, the values are not given here, you can simply find marginal utility at fourth unit by subtracting total utility at 3rd unit from total utility at 4th unit.