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MrRa [10]
3 years ago
15

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function C(x) = 180 + 8x. The

revenue earned from selling x bracelets is represented by the function R(x) = 20x. Write and simplify a function P that represents the profit made from selling x bracelets. How many bracelets must the company sell to break even?
Mathematics
1 answer:
alexdok [17]3 years ago
8 0

Answer:

The correct answer would be, No of bracelets the company must sell to break even would be 15

Step-by-step explanation:

Revenue is given by the function as:

R(x) = 20x

and Cost is given by the function as:

C(x) = 180 + 8x

Let the function P(x) represent the profit earned.

We know that Profit is equal to Revenue - Cost

i-e  

Profit = Revenue - Cost

So,

P(x) = R(x) - C(x)

Now substituting the Revenue and cost values in the above equation.

P(x) = 20x - (180 + 8x)

P(x) = 20x -180 -8x

P(x) = 20x - 8x -180

P(x) = 12x - 180

Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:

0 = 12x - 180

12x = 180

x = 180/12

x = 15

So the break even point will be 15 bracelets.

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Work Shown:

area = a*b*sin(C)

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity

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Sample 2 (alcohol-type concentrates )

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The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:

t= \frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }

a) 95% CI

(X[bar]_1 - X[bar]_2) ± t_{n_1 + n_2 - 2}*Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }

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(4.7-6.9) ± 2.306* (0.707\sqrt{\frac{1}{5}+\frac{1}{5} })

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With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.

b.

The hypothesis is:

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

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The interval contains the cero, so the decision is to reject the null hypothesis.

<u>Complete question</u>

a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?

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Answer:

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Step-by-step explanation:

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