Answer:
The manufacturer should announce a guaranteed mileage of 44528 miles
Explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What guaranteed mileage should the manufacturer announce
Only until the 5th percentile will have to be replaced, which is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The manufacturer should announce a guaranteed mileage of 44528 miles
True statement
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Answer:
Break-even point (dollars)= $772,500
Explanation:
Giving the following information:
The contribution margin ratio of Donath Corporation's only product is 64%. The company's monthly fixed expense is $454,200 and the company's monthly target profit is $40,200.
To calculate the sales in dollars to obtain the desired profit, we need to use the following formula:
Break-even point (dollars)= (fixed costs + desired profit)/ contribution margin ratio
Break-even point (dollars)= (454,200 + 40,200) / 0.64
Break-even point (dollars)= $772,500
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Answer:
$33.02
Explanation:
EPS (Earnings Per Share) would be simply,
Total Earnings divided by the number of shares outstanding
First, we need to find our total earnings. We will get this by summing up Sales and Net Income from selling shares. Then we will minus the expenses.
So,
Sales = 17.55 mill
Net Income from Shares = 5 mill shares AT $32.55 each = 5 mill * 32.55 = $162,750,000
Expenses = 15.20 mill
Thus,
Total Earnings = 17,550,000 + 162,750,000 - 15,200,000 = 165,100,000
Total Shares = 5 million
So, EPS would be:
EPS = 165,100,000/5,000,000 = <u>$33.02</u>
