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3 years ago

You typically buy all of your groceries at Grocery Mart. This week, your

Mathematics

1 answer:

icang [17]3 years ago

5 0

Answer:

I gave you the answer

Step-by-step explanation:

I hope

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The manager of a company uses the function shown to model the company’s daily profit based on the price of a product in dollars,

just olya [345]

Answer: 1) The minimum price, in dollars, to avoid a loss = 22,

2) the maximum price in dollars , to avoid a loss = 53,

3) The price that results the maximum profit = 37.5 dollars

Step-by-step explanation:

Since the given function that shows the total profit,

$f(x) = (x-22)(53-x)$

Where x is the price of the product.

Since for avoiding the loss,

$f(x) \geq 0$ ,

⇒ $(x-22)(53-x)\geq 0$

If $(x-22)\geq 0 \implies x\geq 22$

If $53 - x \geq 0 \implies 53 \geq x$

Thus, 53 ≥ x ≥ 22,

Therefore, the minimum price to avoid the loss = $ 22

And, the minimum price to avoid the loss = $ 53

$f'(x) =\frac{d}{dx}[(x-22)(53-x)] = (x-22)\frac{d}{dx} (53-x)+(53-x) \frac{d}{dx}(x-22)$

⇒ $f'(x) = - (x-22)+(53-x) = -x+22+53-x =-2x+75$

Now, For maximum or minimum,

$f'(x) = 0$ ,

⇒ $-2x+75 = 0$

⇒ $-2x = -75$

⇒ $x = 37.5$

$f''(x) = \frac{d}{dx}(-2x+75)=-1$

For x = 37.5, f''(x) is negative,

Thus, For the price of $ 37.5 dollars the company has the greatest profit.

4 0

3 years ago

The number of games in the first round of a chess tournament is equal to 2×2×2×2×2×2. Write the number of games using an exponen

Naily [24]

Answer:

2^6

Step-by-step explanation:

2 is being multiplied 6 times meaning it would be 2 to the 6th power.

8 0

3 years ago

(7/8)(?)=21 please help!

alukav5142 [94]

7/8 x = 21
7x = 21×8
7x = 168
x = 24

6 0

3 years ago

Read 2 more answers

PLSSS HELP GIVING BRAINLIEST

mylen [45]

Answer: 180

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Every Thursday, Matt and Dave's Video Venture has “roll-the-dice" day. A customer may choose to roll two fair dice and rent a se

shepuryov [24]

Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

For n instances of a normal variable, the mean is $n\mu$ and the standard error is $s = \sigma\sqrt{n}$

In this problem:

Mean of $0.47, standard deviation $0.15, hence $\mu = 0.47, \sigma = 0.15$

30 instances, hence $n\mu = 30(0.47) = 14.1, s = 0.15\sqrt{30} = 0.8216$

The probability is 1 subtracted by the p-value of Z when X = 15, hence:

$Z = \frac{X - \mu}{\sigma}$

Considering the n instances:

$Z = \frac{X - n\mu}{s}$

$Z = \frac{15 - 14.1}{0.8216}$

$Z = 1.1$

$Z = 1.1$ has a p-value of 0.8643.

1 - 0.8643 = 0.1357.

0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.

A similar problem is given at brainly.com/question/25769446

6 0

2 years ago