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3 years ago

A company sells gadgets for $20/gadget and has a profit function from making and selling x gadgets of P(x) = 15x - 6000.

1 answer:

5 0

This is the concept of algebra, at breakeven point there are no profits made. Hence, given the profit function
P(x)=15x-6000
at breakeven point the number of units sold will be:
P(x)=0
thus:
0=15x-6000
15x=6000
x=400
the number of units sold at breakeven will be 400 units.
The amount at breakeven wil be:
number of units x price of each unit
=400x20
=$ 8000

The results found are true breakeven point because at these points the company will not be generating any profits because the amount of revenue generated will be equal to the amount of expenses. This means that the difference between revenue and cost will be zero, therefor it satisfies the breakeven point rationale.

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After allowing 20% discount on the marked price with 13%

saveliy_v [14]

<u>Answer:</u>

The marked price of the article is 22,600

<u>Explanation: </u>

Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is

$\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)$

Discount D = 20%

Substituting the given values

SP = $\mathrm{MP}\left(1-\frac{20}{100}\right)$

18080 = $\mathrm{MP}\left(1-\frac{1}{5}\right)$

$18080=\mathrm{MP}\left(\frac{4}{5}\right)$

$\mathrm{MP}=\frac{18080 \times 5}{4}$

MP = Rs. 22,600

Therefore the marked price of the article is 22,600

6 0

3 years ago

What is the solution to y=3/7x -1?

DedPeter [7]

Every point on the line 3/7x -1 is a solution

Unless there is another line provided...

6 0

3 years ago

I need help on this and please explain why is that the answer thank you -Alexa :)

Rzqust [24]

First, you need to find the total amount they discounted.

3.66 X 3= $10.97

Since they took off that much, you need to add that to the total cost, which was 62. 31

62.31 + 10.97= $73.29

Finally, to find how much each individual shirt cost, you divided it by 3.

73.29 / 3= $24. 43

The answer is C

4 0

3 years ago

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Multiply. Write the product as one power. 125 x 122 Question 1 options: 127 1210 1447 14410

emmasim [6.3K]

I got c hope this helps:D

8 0

4 years ago

Discuss the continuity of the function on the closed interval.Function Intervalf(x) = 9 − x, x ≤ 09 + 12x, x > 0 [−4, 5]The f

quester [9]

Answer:

It is continuous since $\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)$

Step-by-step explanation:

We are given that the function is defined as follows $f(x) = 9-x, x\leq 0$ and $f(x) = 9+12x, x>0$ and we want to check the continuity in the interval [-4,5]. Note that this a piecewise function whose only critical point (that might be a candidate of a discontinuity) x=0 since at this point is where the function "changes" of definition. Note that 9-x and 9+12x are polynomials that are continous over all $\mathbb{R}$ . So F is continous in the intervals [-4,0) and (0,5]. To check if f(x) is continuous at 0, we must check that

$\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)$ (this is the definition of continuity at x=0)

Note that if x=0, then f(x) = 9-x. So, f(0)=9. On the same time, note that

$\lim_{x\to 0^{-}} f(x) = \lim_{x\to 0^{-}} 9-x = 9$ . This result is because the function 9-x is continous at x=0, so the left-hand limit is equal to the value of the function at 0.

Note that when x>0, we have that f(x) = 9+12x. In this case, we have that

$\lim_{x\to 0^{+}} f(x) = \lim_{x\to 0^{+}} 9+12x = 9$ . As before, this result is because the function 9+12x is continous at x=0, so the right-hand limit is equal to the value of the function at 0.

Thus, $\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)=9$ , so by definition, f is continuous at x=0, hence continuous over the interval [-4,5].

5 0

4 years ago

Read 2 more answers