a. Breakeven point in cans = Fixed Cost / (Revenue per unit - variable cost per unit) = $317,000/($1.50-$0.50) = 317,000 cans.
Breakeven point in $ = Breakeven point in Units * Sales Price per unit = 317000 * 1.50 = $475,500.
Percentage of Margin of Safety of 2018 = (Actual Sales - Breakeven Sales) / Actual Sales * 100
= (1,800,000 - 475,500) / 1,800,000 * 100 = 73.58%
b. Company is planning to decrease each Fixed Cost component by 20%. So the revised total fixed Cost become 253,600 [317,000 * (1-0.20)].
Breakeven point in cans = Fixed Cost / (Revenue per unit - variable cost per unit) = $253,600/($1.50-$0.50) = 253,600 cans.
Breakeven point in $ = Breakeven point in Units * Sales Price per unit = 253,600 * 1.50 = $380,400.
Sales in projected to decrease by 50% due to new rivals in the market. So here the projected sales become 900,000 [1,800,000 * (1-0.50)]
Percentage of Margin of Safety of 2018 = (Actual Sales - Breakeven Sales) / Actual Sales * 100
= (900,000 - 380,400) / 900,000 * 100 = 57.73%
c. Here the company is decreasing selling price to 1.20$. So the contribution per unit becomes $0.70. The company wants to earn profit of $2,000,000 and the fixed cost is $317,000.
So the number of units the company will have to sell to earn $2,000,000 profit = ($2,000,000 + $317,000) / 0.70 = 3,310,000 cans.
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