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natta225 [31]
3 years ago
14

Waterway Industries has fixed costs of $15,000 per year. Its warehouse sells wine with variable costs of 70% of its unit selling

price. How much in sales does Waterway need to break even per year?
Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

50000 units sale per dollar price of the wine

Step-by-step explanation:

Fixed cost per year = $15,000

Variable cost per bottle of wine = 70% of selling price

To break even, the profits from the number of units sold = $15,000

(30% of selling price)× X units =$15,000

Or 15,000÷0.3 =50000 units per dollar price of wine

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Step-by-step explanation:

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The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc
Ludmilka [50]

Answer:

\mu = 12.1\\\sigma = 0.3

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

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So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

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z=\frac{11.6-12.1}{0.3}

z=-1.67

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We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

We are supposed to find P(11.6<x<11.9)

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P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

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We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{12.6-12.1}{0.3}

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Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

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d) Is the drink containing more than 12.6 fluid ounces an unusual event?

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Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

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1367324+3469345-75369x3429x0=??
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Answer:

it's ans is 4761300

Step-by-step explanation:

by using BODMAS

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4836669-75369

=4761300

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