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Tema [17]
3 years ago
10

Juice boxes are sold in a local store for 65 cents each. The factory has $1400 in fixed costs plus 15 cents of additional expens

e for each juice box made. Assuming all juice boxes manufactured can be sold, find the break-even point.
Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

Break even occurs at 2800 juice boxes.

Step-by-step explanation:

Fixed cost form the factor = $1400

Variable cost per unit juice box = 15 cents = $0.15

Let number of juice boxed produced to get brek even point = x

Then total cost = c(x)= 1400+0.15x

Selling price per unit juice box = 65 cents = $0.65

Then total sales = R(x)= 0.65x

At break even both sales and cost will be equal so we get:

0.65x=1400+0.15x

0.65x-0.15x=1400

0.50x=1400

x=\frac{1400}{0.50}

x=2800

Hence break even occurs at 2800 juice boxes.

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There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val
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Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

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Total number of tickets = 120

Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and  total number of regular tickets.

So the equation can be written as;

x+y=120\ \ \ \ \ equation\ 1

Again,total amount  is the sum of total number of premium tickets multiplied by cost of each premium ticket and  total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

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Betty saves $161 a month. She saves $141 less each month than Jack. How much will jack save in 2 years?
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Given that Betty saves $161 per month which is $141 less than Jack per month. find the amount that Jack will save in 2 years.

First, find how much Jack saves. We can do this buy adding 141 to 161 since Betty saves 141 less meaning we can reverse it by adding it.

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Now, that we know how much Jack saves per month.

Then, we have to find out how many months are in 2 years.

We already know that there is 12 months in a year, so for 2 years, we can simply multiply by 2.

12 x 2 = 24

Therefore, there are 24 months in two years.

Lastly, multiply 24 months by the amount that Jack saves to get the amount in total.

24 x 302 = 7,248

Thus, Jack will save approximately $7,248 in 2 years.

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