Lopez & Company, located in the beautiful Puget Sound, provided the following post$-$closing trial balance for the year ended December $31,2022$

During the fiscal year $2023,$ the company had the following transactions related to its equipment:

March $1,2023$: Paid $$45,000$ to expand the production capacity of equipment $C.$ This doubled the production capacity from $10,000$ units per day to $20,000$ units per day. The useful life of the equipment remains unchanged.

March $31,2023$: Paid $$4,500$ as regular maintenance for all three machines. The cost is divided equally among the $3$ machines

August $31,2023$: Due to increased demand, purchased a fourth equipment $($Equipment D$).$ The invoice price was $$100,000$ with terms $\frac{2}{10},\frac{n}{60}$ FOB shipping point. The company paid $$3,000$ for shipping and another $$4,000$ to install the equipment. The invoice was paid within the discount period. The estimated useful life is $10$ years with zero salvage value.

REQUIRED

$($a$)$ What is the total cost of the four equipment as at December $31,2023$

$($b$)$ What is the total depreciation expense for the four equipment for the year ended December $31,2023$

$($c$)$ What is the total accumulated depreciation for the four equipment as at December $31,2023$

$($d$)$ What is the net book value of the four equipment as at December $31,2023$

$($e$)$ Assume that equipment B was sold for $$74,000$ on January $1,2024.$ Record the resulting journal entry.