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vova2212 [387]
3 years ago
5

hich uses the​ high-low method to analyze cost​ behavior, has determined that machine hours best predict the​ company's total ut

ilities cost. The​ company's cost and machine hour usage data for the first six months of the year​ follow: LOADING...​(Click the icon to view the​ data.) Requirements Using the​ high-low method, answer the following​ questions: 1. What is the variable utilities cost per machine​ hour? 2. What is the fixed cost of utilities each​ month? 3. If Smith Company uses 1 comma 220 machine hours in a​ month, what will its total costs​ be?
Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

1)- Variable utilities cost per machine hour = 1.6 per machine hour

2)- Fixed cost = 1740

3)-Total cost on 1220 Machine hour will be

= 3692

Step-by-step explanation:

1) CALCULATE VARIABLE UTILITIES COST PER MACHINE HOUR :

Variable utilities cost per machine hour = Change in cost/high machine hour-low machine hour

=4076-3388/1460-1030

Variable utilities cost per machine hour = 1.6 per machine hour

2) Fixed cost = Total cost-variable cost

= 3388-(1030*1.6)

Fixed cost = 1740

3) Total cost on 1220 Machine hour will be (1220*1.6+1740) = 3692

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<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

P(X=x)=^nC_xp^x(1-p)^{n-x} , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

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Probability of getting defective components = P = 0.03

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The probability that the whole lot is accepted :

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For sample size n= 2500

Expected value : \mu=np= (2500)(0.03)=75

The expected value = 75

Standard deviation :  \sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53

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Step-by-step explanation:

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