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Corrigan Enterprises is studying the acquisition of two electrical component insertion systems for producing its sole product, the universal gismo. Data relevant to the systems follow.
Model no. 6754: | |
Variable costs, $18.00 per unit | |
Annual fixed costs, $986,300 |
Model no. 4399: | |
Variable costs, $11.80 per unit | |
Annual fixed costs, $1,114,500 |
Corrigan’s selling price is $68 per unit for the universal gismo, which is subject to a 15 percent sales commission. (In the following requirements, ignore income taxes.)
Assume Model 4399 requires the purchase of additional equipment that is not reflected in the preceding figures. The equipment will cost $430,000 and will be depreciated over a five-year life by the straight-line method. How many units must Corrigan sell to earn $958,000 of income if Model 4399 is selected? As in requirement (2), sales and production are expected to average 43,000 units per year. (Do not round intermediate calculations and round your final answer up to nearest whole number.)
Ignoring the information presented in part (3), at what volume level will the annual total cost of each system be equal? (Do not round intermediate calculations and round your final answer up to nearest whole number.)
3. Computation of target sales to earn desired profit.
Target sales = Fixed cost + Target Profit / Contribution
= 1,200,500 + 958,000 / 46
= 46,923.913
= 46,924
The sales units are 46,924 units.
Computation of fixed cost for model no 4399 = $1114,500
Add: Depreciation ( $430,000 / 5 ) = $86,000
Total Fixed Cost ( 1114,500+ 86000) = 1,200,500
Contribution margin per unit = Sales - Variable Cost - other variable cost (commission)
= $68 - $11.80 - $10.20 *(68*15% = 10.20)
= $46
4. Indifferent point.
putting value of ,
Total annual cost of Model No 6754 = Total annual cost of model no 4399