1. CM Ratio: 13.97/20= 69.85%
[Variable cost per unit:- 190,000/13600 units= $13.97/ per unit]
BEP( in dollars):- 88000/69.85% = $ 125,984
BEP(In units):- 88000/(20-13.97) = 14593.69 (rounded off to 14594 units)
2. With increase in revenue by $70,000 at a cost of incurring $8,000 there would be increase in contribution margin which is as follows:
No. of units so increased: 70,000/ $20= 3500 units
Increase in contribution: 3500x $ 6.03 = 21,105
New Contribution: 82,000+ 21,105 = $103,105
New Fixed cost: 88,000+ 8,000 = $ 96,000
Net Profit: $ 7,105
3.
Sales(27,200 units @ $ 18 per unit) | $ 489,600 |
Variable Cost (27,200x $13.97) | $ 379,984 |
Contribution Margin | $ 109,616 |
Fixed Cost (88,000+34,000) | $ 122,000 |
Net Loss | $ (12,384) |
4. New variable cost: 13.97 + 0.50 = $ 14.47
Required contribution= $ 88,000 + $ 4,000 = $92,000
Min. Units to be sold: 92,000/(20-14.47) = 16,636.53 (rounded off to 16,637 units)
5.
(a) New CM Ratio: 6.985/20= 34.925%
[ New Variable cost per unit:- $13.97 /2= $6.985 per unit]
BEP( in dollars):- ($88,000+ $ 115,000)/34.925% = $591,406 (rounded off)
BEP(In units):- ($88,000+ $ 115,000)/(20-6.895) = 15490 units (rounded off)
(b)
Sales(20,000 units @ $ 20 per unit) | $ 400,000 |
Variable Cost (20,000x $13.97) | $ 279,400 |
Contribution Margin | $ 120,600 |
Fixed Cost | $ 88,000 |
Net Profit | $ 38,600 |
Sales(20,000 units @ $ 20 per unit) | $ 400,000 |
Variable Cost (20,000x $6.985) | $ 139,700 |
Contribution Margin | $ 260,300 |
Fixed Cost (88,000+115,000) | $ 203,000 |
Net Profit | $ 57300 |
As there is increase of $18,700 on automation & the "net profit" at the level of 20,000 units is higher when the process is automated, it is advisable and recommended for the company to automate the production process.
. AT&T 10:52 AM X 57% 0 ACC 2020. project.w.20.docx ... ACC 2020.project.w.20.docx Copius Copy, Inc....
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