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dmitriy555 [2]
3 years ago
10

The cost to produce x units of wire is C=30x +500, while the revenue is R = 40x. Find the interval where the product will at lea

st break even.​
Mathematics
1 answer:
natulia [17]3 years ago
4 0

The break even point is the point where the cost and the revenue are equal

The break even point is at x = 50

<h3>How to determine the break even interval</h3>

The functions are given as:

C(x) = 30x + 500 --- cost function

R(x) = 40x ---- revenue function

At the break even, we have:

R(x) = C(x)

So, the equation becomes

40x = 30x + 500

Subtract 30x from both sides

10x = 500

Divide both sides by 10

x = 50

Hence, the break even point is at x = 50

Read more about break even at:

brainly.com/question/9212451

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If one card is drawn from a standard 52- card deck and not replaced, what is the probabity of getting an ace on the next draw?
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Answer:

The probability is about 7.7%

Step-by-step explanation:

A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. To answer this question we do some counting first:

Consider two draws. We are interested in the second draw being an Ace, the first draw can either be an Ace or not, so, there are two cases of a relevant outcomes (all without replacement):

(number of relevant oucomes n ) = (number of cases of Ace-Ace draws) + (number of cases of NonAce-Ace draws):

n=4\cdot 3+{48\cdot4}= 204

(number of possible outcomes) = (number of choices at first draw) * (number of choices at second draw) = 52 * 51 = 2652

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P = 204/2652 = 0.0769, or about 7.7%

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3 years ago
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The Porter family used an online family budget estimator to compare the costs of living in Baltimore and San Francisco for a fam
alexandr402 [8]

The cost of living in San Francisco, California is greater than the cost of living in Baltimore.

Given that

The Porter family used an online family budget estimator to compare the costs of living in Baltimore and San Francisco for a family with two parents and two children.

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Where is the cost of living higher?

According to the question

Cost of living is the amount of money needed for fixed expenses such as housing, food, taxes, and health care, as well as variable expenses.

Big cities tend to have a higher cost of living than smaller cities.

From a business perspective, we need to consider the cost of living and rent index (considering they will rent in both cities) difference in response to net earnings.

According to recent statistics, the cost of living in Baltimore is about 40 percent lower than in San Francisco.

Also, it should be noted the Porter Family would have to earn quite more than they do in Baltimore before they can maintain the same standard of living.

Supposing Porter's family is earning $50,000 in Baltimore, they would need about $89,000 to maintain the same lifestyle they lived in Baltimore.

Per data in general, we can say that it would cost ~$5000+ to live in California.

These values should be directly related to the indices difference of these underlying factors: consumer prices (CA is 4% lower than MD), consumer prices + rent (CA is 7% higher than MD), rent (CA is 28% higher than MD), restaurant (CA is 3% lower than MD), groceries (CA is 4% lower than MD), and local purchasing power is 10% higher in CA than MD.

Hence, the cost of living in San Francisco, California is greater than the cost of living in Baltimore, Maryland.

To know more about Statices click the link given below.

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