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zaharov [31]
2 years ago
8

Lone Wolf Technologies Inc. assembles circuit boards by using a manually operated machine to insert electronic components. The o

riginal cost of the machine is $60,400, the accumulated depreciation is $24,200, its remaining useful life is five years, and its residual value is zero. A proposal was made to replace the present manufacturing procedure with a fully automatic machine that will cost $113,800. The automatic machine has an estimated useful life of five years and no significant residual value. For use in evaluating the proposal, the accountant accumulated the following annual data on current and proposed operations: Current Operations Proposed OperationsSales $191,500 $191,500 Direct materials $65,200 $65,200 Direct labor 45,300 15,100 Power and maintenance 4,200 7,200 Taxes, insurance, etc. 1,500 5,000 Selling and administrative expenses 45,300 45,300 Total expenses $161,500 $137,800Required:Prepare a differential analysis report for the proposal to replace the machine. Include in the analysis both the net differential change in costs anticipated over the five years and the net annual differential change in costs anticipated.
Business
1 answer:
tigry1 [53]2 years ago
6 0

Answer:

Differential analysis for 1 year

                                        Keep old              Change              Differential

                                        machine               machine             amount

sales revenue                  191,000                191,000               0

depreciation expense     -4,840                  -22,760               -17,920

per year

direct materials                -65,200               -65,200               0

direct labor                       -45,300               -15,100                 30,200

power and                        -4,200                 -7,200                  -3,000

maintenance

taxes and                          -1,500                 -5,000                  -3,500

insurance

S&A expenses                  -45,300              -45,300                0

total                                   24,660               30,440                  5,780

If the new machine is purchased, profits will increase by $5,780 every year.

Differential analysis for 5 years

                                        Keep old              Change              Differential

                                        machine               machine             amount

sales revenue                  955,000              955,000             0

depreciation expense     -24,200               -113,800              -89,600

per year

direct materials                -326,000             -326,000            0

direct labor                       -226,500            -75,500               151,000

power and                        -21,000               -36,000               -15,000

maintenance

taxes and                          -7,500                -25,000               -17,500

insurance

S&A expenses                  -226,500           -226,500              0

total                                   123,300             152,200                28,900

If the new machine is purchased, profits will increase by $28,900 for the 5 year period.

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a). I would adopt the increase in market share in the suburbs by 15 % since the number of final suburbs dwellers who will use my product is (0.0805 x) which is  greater than final city dwellers' (0.075 x)

b). The total percentage of people who are city dwellers who own your product before the new sales drive=46.15%

Explanation:

a). We can make the following expressions;

Total number of both city dwellers and suburb dwellers=x

City dwellers=30% of x=(30/100)×x=0.3 x

Suburb dweller=70% of x=(70/100)×x=0.7 x

Total number of city dwellers who use your product initially=(20/100)×0.3 x=0.06 x

Total number of suburb dwellers who use your product initially=(10/100)×0.7 x=0.07 x

If we increase the market share in the suburbs by 15%

Number of suburb dwellers=0.07 x+(15/100)×0.07 x

Number of suburb dwellers=(0.07 x+0.0105 x)=0.0805 x

If we increase market share in the city by 25%

Number of city dwellers=0.06 x+(25/100)×0.06 x

Number of city dwellers=(0.06 x+0.015 x)=0.075 x

I would adopt the increase in market share in the suburbs by 15 % since the number of final suburbs dwellers who will use my product is (0.0805 x) which is  greater than final city dwellers' (0.075 x)

b). Percentage of city dwellers that own your product

Percentage=(Initial number of city dwellers/Total number of people)×100

Percentage=0.06 x/(0.06 x+0.07 x)=(0.06 x/0.13 x)×100=46.15%

The total percentage of people who are city dwellers who own your product before the new sales drive=46.15%

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