In: Accounting
Yerke Company makes and sells jungle gyms and tree houses for children. For jungle gyms, the price is $120 and the variable expenses are $90 per unit. For tree houses, the price is $200 and the variable expenses are $100. Total fixed expenses are $253,750. Next year, Yerke expects to sell 12,000 gyms and 8,000 tree houses. What is the total sales revenue at the break-even point?
a.$411,250 b.$140,000 c.$665,000 d.$253,700 e.$1,076,250
Yerke Company makes and sells jungle gyms and tree houses for children. For jungle gyms, the price is $120 and the variable expenses are $90 per unit. For tree houses, the price is $200 and the variable expenses are $100. Total fixed expenses are $253,750. Next year, Yerke expects to sell 12,000 gyms and 8,000 tree houses. What is the number of jungle gyms sold by Yerke at the break-even point?
a.668
b.1,002
c.1,750
d.2,625
e.875
Requirement 1: C. $ 665,000
Working:
| Total Sales revenue [(12000*120)+(8000*200)] | $ 3,040,000 | 
| Less: Total variable cost [(12000*90)+(8000*100)] | $ 1,880,000 | 
| Total contribution margin | $ 1,160,000 | 
| Contribution margin ratio [1160000/3040000] | 38.16% | 
| Break even sales [253750/38.16%] | $ 665,000 | 
Requirement 2: d. 2,625
Working:
| Jungle gyms contribution margin [120-90] | $ 30 | 
| Tree house contribution margin [200-100] | $ 100 | 
| Sales Mix: | |
| Jungle gyms [12000/20000] | 0.6 | 
| Tree house [8000/20000] | 0.4 | 
| Weighted average contribution margin [(30*0.6)+(100*0.4)] | $ 58 | 
| Total Fixed cost | $ 253,750 | 
| Total break even sales units [253750/58] | 4375 | 
| Break even units for jungle gym [4375*0.60] | 2625 |