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serg [7]
2 years ago
8

A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell

7 fewer wind chimes per month. Find the price per wind chime that will maximize revenue.
Mathematics
1 answer:
guapka [62]2 years ago
6 0

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

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How do you find the area and perimeter of a rectangle. And how do you find the area and perimeter of a square?
cupoosta [38]

Answer:

The perimeter of a rectangle is P = 2 b + 2 h , where is the base (or width) and is the height (or length). If a rectangle is a square, with sides of length , the formula for perimeter is P s q u a r e = 2 s + 2 s = 4 s and the formula for area is A s q u a r e = s ⋅ s = s 2

Step-by-step explanation:

5 0
2 years ago
Twice a number plus twice a second number is 310. The difference between the numbers is 55
agasfer [191]

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

2(x - y = 55) = 2x - 2y = 110

Now, subtract your new equation from the first one [2x + 2y = 310]

2x + 2y = 310

-2x + 2y = -110

//<em>If you</em>'<em>re wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//</em>

When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:

4y = 200

Now, simply solve for "y" by dividing both sides by 4.

4y = 200

y = 50

Now that we know y's value, substitute it into one of our original equations to solve for x.

//<em>I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//</em>

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

x = 105

<u>So, x = 105 and y = 50</u>

4 0
3 years ago
Write all the factors of 21<br> Use commas to separate them.
Hatshy [7]

Answer:

1, 3, 7, 21

Step-by-step explanation:

1, 3, 7, 21

(The bolded is one factor and the other that is not bolded is another factor)

1 times 21 is 21

3 times 7 is 21

7 0
2 years ago
When a large marketing company contracts with a payroll service company to process employee checks then they are
DaniilM [7]

Outsourcing is well known as just an exercise which takes occurs when a company, therefore the answer is "Option b" that is "Outsourcing", and the further discussion can be defined as follows:

  • It gives another business a task to perform or to undertake for them rather than themselves.
  • It is an agreement between the two companies, usually for a specified period.
  • It is made to be better efficient and to minimize the costs.
  • In the large marketing company agreements for worker cheques with such a payroll service provider, they outsource people.

Therefore, the final answer is "Option b".

Learn more:

brainly.com/question/2614785

5 0
3 years ago
All freshmen, sophomores, juniors, and seniors attended a
Trava [24]

Answer:

The probability is .034375 or 11/320

Step-by-step explanation:

the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.

multiplied by the probability of a sophomore being chosen 10/80 which equals .125.

multiply those together and you get your probability. 0.034375 or 11/320

5 0
3 years ago
Read 2 more answers
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