Respuesta :
Answer:
a. 167 families
b. $320,000 loss
c. 1,125,000 or more
d. Yes. New break even point will be 159 families.
Step-by-step explanation:
a. We have the Selling price of $6,000 and the fixed cost of $800,000 and a variable cost of $1,200. We simply calculate the break even point in units by dividing the fixed cost by the contribution per unit.
- 800000 / (6000-1200) = 166.67 rounded off to 167 families.
b. To calculate the loss, we simply calculate the revenue and cost that will be earned and incurred at 100 families respectively.
- Revenue = 6000 * 100 => $600,000
- Variable Cost = 1200 * 100 => $120,000
- Fixed cost = $800,000
- Loss = 600000 - (800000 + 120000) = $320,000
c. To calculate revenue to earn a certain target profit, we divide the Fixed cost + Target profit with the Contribution to sales ratio.
- Contribution to sales ratio = 4800 / 6000 = 0.8
- Target Profit sales = (800000 + 100000) / 0.8 => 1,125,000
- A revenue of at least 1125000 is required to earn at least 100000 profit.
d. We calculate the new break even point in units.
- New contribution per unit = 6000 - 1200 - 700 = 4100
- New Fixed cost = 800000 - 150000 = 650000
- New break even = 650000 / 4100 = 158.53 rounded off to 159 families.
- So the suggestion will help reach break even earlier.