Due to heavy lobbying by the Cake Makers of America, the government issues a new regulation that requires people who sell cakes
1 answer:
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The first step you need to do to solve this problem is to calculate the contribution margin per unit for each model:
Model a12 b22 c124
Sales Price per unit 50 100 400
Less: Variable Cost per unit 35 70 300
Contribution Margin per unit 15 30 100
The next step is to calculate the weighted-average contribution margin per unit for the sales mix using the following formula:
Model a12 CM per Unit ×
Model a12 Sales Mix Percentage<span>
+ Model b22 CM per Unit × Model b22 Sales Mix Percentage
+ Model c124 CM per Unit × Model c124 Sales Mix Percentage
<span>= Weighted Average Unit Contribution Margin (WACM)</span></span>
Contribution Margin per unit 15 30 100
X Sales Mix Percentage 60% 15% 25%
WACM 9 4.5 25
Weighted Average Unit Contribution Margin (sum) 38.5
The next step is to find the break-even point using the WACM.
<span> <span><span> <span> Total Fixed Cost </span> <span> $269,500 </span> </span> <span> <span> ÷ Weighted Average CM per Unit </span> <span> $38.50 </span> </span> <span> <span> Break-even Point in Units of Sales Mix </span> <span> 7,000 </span> </span> </span></span>
The next step is to calculate the number of units of each model at break-even point
<span> <span><span> <span> Model </span> <span> a12 </span> <span> b22 </span> <span> c124 </span> </span> <span> <span> Sales Mix Ratio </span> <span> 60% </span> <span> 15% </span> <span> 25% </span> </span> <span> <span> × Total Break-even Units </span> <span> 7,000 </span> <span> 7,000 </span> <span> 7,000 </span> </span> <span> <span> Product Units at Break-even Point </span> <span> 4,200 </span> <span> 1,050 </span> <span> 1,750 </span> </span> </span></span><span> </span>
Answer:
$30.2067
Explanation:
From the given question, using the dividend discount model
where:
r is the Expected return on stock and be calculated as:
Expected return on stock = Risk free rate + Beta × (Expected Market Return - Risk free rate)
Expected return on stock = 5% + 1.25 × (14% - 5%) = 16.25%
However, the current price in this process will b used as the dividend price for all future expenses.
Dividend Yield = Current Dividend/The Share Price
Current dividend D0 = 6% × $25.00 = $1.50
D₁ = D₀ × (1 + g)
D₁ = 1.5 × (1 + g)
Thus, we can now employ the use of the growth dividend model (constant) to determine the value of g as follows:
By cross multiply, we have:
4.0625 - 25g = 1.5 + 1.5g
collect like terms, we have:
4.0625 - 1.5 = 1.5g + 25g
2.5625 = 26.5g
Divide both sides by 26.5, we have:
2.5625/26.5 = 26.5g/26.5
g = 9.67%
Similarly, suppose the value for the second year-end to be Y₂;
Then the constant growth dividend model can be computed as:
where;
D₃ = D₂ × (1 + g)
D₂ × (1 + g) = D₁ × (1 + g) × (1 + g)
D₁ × (1 + g) × (1 + g) = D₀ × (1 + g) × (1 + g) × (1 + g)
D₁ × (1 + g) × (1 + g) = D₀ × (1 + g) × (1 + g) × (1 + g) = D₀ × (1 + g) × 3
D₃ = 1.5 × (1 + 9.67%) × 3
D₃ = $1.9876
Finally:
Y₂ = $30.2067