Lako Systems studied the performance of 15 line workers who attended a training program and compared their performance with a co

Answer:

a-1) Present value of the installment option is $93.08.

      Present value for immediate bill payment is $90.

a2) Opting to pay the bill immediately is the preferable choice.

b-1) Present value of the installment option amounts to $88.65.

b-2) In this scenario, paying in installments is the better option.

Explanation:

a-1) To determine the present value of the installment plan, the payments occur as follows: $25 immediately, followed by $25 at the end of each of the next 3 years. This setup constitutes an annuity due, and the present value can be calculated as follows:

PMT denotes the annuity payment at the start of each period, which is $25.

             i signifies the interest rate compounded per period.

=0.05

            n represents the number of payment periods, which amounts to 4.

Present value = =$93.08

The present value of immediate bill payment equals $100, reduced by the 10% discount, calculated as $100 * 0.9 = $90.

a-2) Paying immediately is advantageous since it costs $90 compared to the $93.08 present value of installments.

b1) If the installment payments do not commence for another year, the present value of the payment series is computed as:

                                          =

                                          = = 88.65

b-2) In this instance, paying via installments is better as it is less expensive at $88.65 compared to the immediate payment's present value at $90.

Answer:

Journal Entry for the partial year's depreciation on July 1, 2023:

Debit Depreciation Expense $7,500

Credit Accumulated Depreciation $7,500

1) When the machine is sold for $45,500 in cash:

Debit Cash $45,500

Debit Accumulated Depreciation $67,500

Credit Gain from Sale of Asset $8,000

Credit Machine Asset $105,000

(2) When the machine is sold for $25,000 in cash

Debit Cash $25,000

Debit Accumulated Depreciation $67,500

Debit Loss from Sale of Asset $12,500

Credit Machine Asset $105,000

Explanation:

Rayya Co. utilizes the straight-line depreciation approach, calculating the yearly Depreciation Expense using the formula:

Annual Depreciation Expense = (Cost of machine − Salvage Value )/Useful Life = ($105,000 - $0)/7 = $15,000

The machine was used for 6 months in 2023 (half a year)

Depreciation Expense = $15,000/2 = $7,500

The journal entry for partial year's depreciation on July 1, 2023 is recorded as follows:

Debit Depreciation Expense $7,500

Credit Accumulated Depreciation $7,500

By July 1, 2023, the total Accumulated Depreciation amounts to = $15,000 x 4 + $7,500 = $67,500

Carrying value of the machine = $105,000 - $67,500 = $37,500

(1) If the machine is sold for $45,500 cash:

Calculation of Sale Price minus Carrying Value = $45,500 - $37,500 = $8,000>0

=> Therefore, the company acknowledges a gain of $8,000 on the sale

Debit Cash $45,500

Debit Accumulated Depreciation $67,500

Credit Gain from Sale of Asset $8,000

Credit Machine Asset $105,000

(2) If the machine is sold for $25,000 cash

Calculation of Sale Price minus Carrying Value = $25,000 - $37,500 = -$12,500<0

=> Thus, the company records a loss of $12,500 on the sale

The entry needed is as follows:  

Debit Cash $25,000

Debit Accumulated Depreciation $67,500

Debit Loss from Sale of Asset $12,500

Credit Machine Asset $105,000