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花儿。 · 2023年05月07日

operating leverage是DOL吗?

NO.PZ2016021705000040

问题如下:

The Fulcrum Company produces decorative swivel platforms for home televisions. If Fulcrum produces 40 million units, it estimates that it can sell them for $100 each. Variable production costs are $65 per unit and fixed production costs are $1.05 billion. Which of the following statements is most accurate? Holding all else constant, the Fulcrum Company would:

选项:

A.

generate positive operating income if unit sales were 25 million.

B.

have less operating leverage if fixed production costs were 10 percent greater than $1.05 billion.

C.

generate 20 percent more operating income if unit sales were 5 percent greater than 40 million.

解释:

C is correct.

Because DOL is 4, if unit sales increase by 5 percent, Fulcrums operating earnings are expected to increase by 4 × 5% = 20%. The calculation for DOL is:

DOL=40 million×(10065)[40 million×(10065)]1.05 billion=1.40.35=4DOL=\frac{40\ million\times(100-65)}{[40\ million\times(100-65)]-1.05\ billion}=\frac{1.4}{0.35}=4

DOL= ( 40million )( $100$65 ) [ ( 40million )( $100$65 ) ]$1.05billion = $1.400billion $1.400billion$1.05billion = $1.4 $0.35 =4



题中说TFC增大,DOL确实变小了啊。这个选项哪里不对呢?

花儿。 · 2023年05月08日

我发现我脑子昏昏沉沉写错了。。。

1 个答案

王琛_品职助教 · 2023年05月08日

嗨,从没放弃的小努力你好:


因为 TFC 的前面还有一个减号哈

TFC 越大,整个分母是越小的,所以分数的结果是越大的,即 DOL 是更大 more

但是选项 B 说更小 less operating leverage,说反了

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努力的时光都是限量版,加油!

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