Cullumber Company makes three models of tasers. Information on the three products is given below. Tingler Shocker Stunner Sales
$306,000 $494,000 $200,000 Variable expenses 154,900 203,300 135,200 Contribution margin 151,100 290,700 64,800 Fixed expenses 119,964 224,736 93,700 Net income $31,136 $65,964 $(28,900) Fixed expenses consist of $294,000 of common costs allocated to the three products based on relative sales, as well as direct fixed expenses unique to each model of $30,000 (Tingler), $79,500 (Shocker), and $34,900 (Stunner). The common costs will be incurred regardless of how many models are produced. The direct fixed expenses would be eliminated if that model is phased out. James Watt, an executive with the company, feels the Stunner line should be discontinued to increase the company’s net income. (a) Compute current net income for Cullumber Company. Net income $ (b) Compute net income by product line and in total for Cullumber Company if the company discontinues the Stunner product line. (Hint: Allocate the $294,000 common costs to the two remaining product lines based on their relative sales.) Tingler Net Income $ Shocker Net Income $ Total Net Income $ (c) Should Cullumber eliminate the Stunner product line? Why or why not? Net income would from $ to $ .
1 answer:
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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