In: Accounting
Lilah and Juliet’s Book Company (LJBC) sells children’s books for $10 per book.Variable costs are $6 per book.Fixed costs are $300,000 per year.
1. How many books must LJBC sell in 2013 to earn a target profit of $ 100,000?
10,000
25,000
16,667
75,000
100,000
2. Assume LJBC in fact makes their 2013 target profit. What is LJBC’s margin of safety in dollars?
a. $100,000
b. $250,000
c. $400,000
d. $300,000
e. $750,000
3. Danny’s Manufacturing Company (DMC) sells a baby’s high chair for $50. DMC has a contribution margin ratio of 40% and annual fixed expenses of $250,000. In 2012, DMC sold 10,000 high chairs. DMC was disappointed in its results and is contemplating the following actions:
Lower the selling price of its product by 10%.
Reduce the fixed salaries of salesmen by $50,000 and give salesmen a commission of $2.00 per high chair sold.
Change the manufacturing process to reduce variable costs by $8.00 per high chair produced while increasing fixed expenses by $150,000. If DMC implements this plan, they will increase sales volume by 20%. What is the impact to DMC’s profit if it implements the plan described above?
Reduce profits by $48,000.
Increase profits by $40,000.
Increase profits by $52,000.
Reduce profits by $100,000.
Increase profits by $12,000.
Could you please be kind enough and show me the solutions and answers in detail?
Thank you so much and have a good one! :D
Answer :
| Partuculars | amount | ||||
| sales (10perunit) | 1000000 | ||||
| Less | Variable cost (6 perunit) | 600000 | |||
| Contribution | 400000 | ||||
| Less | Fixed Cost | 300000 | |||
| Profit | 100000 | ||||
| let x be the unit | |||||
| 10x-6x=400000 | |||||
| 4x=400000 | |||||
| x= 100000 | |||||
| since profit is given, we will go in
reverse direction and calculate contribution and then keeping it
equal to beloq equation; we will find number of units. HENCE NUMBER OF UNITS = 100000  | 
|||||
| CALCULATION OF MARGIN OF SAFETY | |||||
| MARGIN OF SAFETY = ACTUAL SALES - SALES AT BREAKEVEN | |||||
| ACTUAL SALES = $1000000 | |||||
| SALES AT BREAKEVEN = (FIXED COST / CONTRIBUTION PER UNIT ) * SALE PRICE PER UNIT | |||||
| FIXED COST = $300000 | |||||
| CONTRIBUTION = $400000/100000 = $4 | |||||
| SALE PRICE = $10 | |||||
| SALES AT BREAKEVEN POINT =( 300000/4)*10 = $750000 | |||||
| MARGIN OF SAFETY IN $ = $ 100000- $750000 = $250000 | |||||
| OLD | NEW | ||||
| UNIT SOLD | 10000 | 12000 | EXISTING | PROPSED | |
| UNIT PRICE | 50 | 45 | SALES =$500000 | SALES= $540000 | |
| FIXED COST | 250000 | 350000 | VC =$300000 | VC=$252000 | |
| VC (PERUNIT) | 30 | 24 | CONTRIBUTION =$200000 | CONTRIBUTION=$288000 | |
| CONTRIBUTION= SALES-VARIBALE COSTPROFIT= CONTRIBUTION- FIXED COST | FIXED COST= $250000 | FC=$350000 | |||
| Loss = $50000 | Loss=$98000 | ||||
| LOSS WILL INCREASE BY $48000 = REDUCE PROFIT BY $48000 | |||||