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olga_2 [115]
2 years ago
15

When you sell a slice for $4 you can sell a total of 300 slices. for every $0.10 increase in the price of a slice, the number of

slices you sell will decrease by 5. what price must you sell the slices for in order to maximize your revenue
Please send help ty
Mathematics
2 answers:
anygoal [31]2 years ago
8 0
At a price of $8 per unit, suppliers are willing to provide 6 units. How many units are consumers interested in purchasing at a price of $4 a unit? At eight units consumers are interested in purchasing at a price of $4 a unit.
Amiraneli [1.4K]2 years ago
8 0

Step-by-step explanation:

the original revenue is

4×300 = $1200

revenue(n) = (4 + n×0.1)×(300 - n×5) = 1200 - 20n + 30n - 0.5×n² =

-0.5×n² + 10n + 1200

with n being the number of units of $0.10 increasing the price.

now, where is the extreme (maximum, we hope) value of the function ?

it is the 0 point of the first derivative :

revenue'(n) = -n + 10 = 0

n = 10

so, the maximum is when increasing the price by 10 times of $0.10 (that means by increasing it by a full $1).

that means the best is selling the slices for 4+1 = $5.

and the max. revenue is then

(4+1)(300-50) = 5×250 = $1250.

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laiz [17]

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5 0
3 years ago
Two companies Company A and Company B offer the same starting salary of $20,000 per year. Company A gives a raise of $1000 each
Bingel [31]
A.) A = 20000 + 1000n
B = 20000(1.04)^n

b.) For A, sn = n/2(2a + (n - 1)d)
s20 = 20/2(2(20000) + 1000(20 - 1)) = 10(40000 + 19(1000)) = 10(40000 + 19000) = 10(59000) = $590,000
For B, sn = a(r^n - 1)/(r - 1)
s20 = 20000((1.04)^20 - 1)/(1.04 - 1) = 20000(2.191 - 1)/0.04 = 20000(1.191)/0.04 = 23822.46 / 0.04 = $595,561.57

c.) Using a graphing calculator, it takes 18 years for the
<span>total amount earned a company B is greater that the total amount of earned at company A.</span>
5 0
3 years ago
24-4x=32<br><br><br> Show your work
Mandarinka [93]

Answer:

-2

Step-by-step explanation:

24 - 4x =32

-4x =32 - 24

-4x=8

x=-8 :4

x=-2

8 0
3 years ago
Read 2 more answers
WILL MARK YOU BRAINLIEST !!!!
liq [111]

Answer:

\overline {PM} \cong \overline {ON} because they are opposite sides of a parallelogram.

Step-by-step explanation:

First of all, let us have a look at the definition of a parallelogram.

<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>

<em></em>

For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.

The two pair of lines are:

AB,  DC and BC, AD

For ABCD to be a parallelogram, the lines

AB and DC must be parallel to each other and AB = DC

AND

BC and AD must be parallel to each other and BC = DA

------------------------------

In the given question, we are given that the quadrilateral MNOP is a parallelogram.

The two pairs opposite lines are OP, NM and PM, ON.

As per the definition of a parallelogram,

OP and NM must be <em>parallel and equal </em>to each other.

AND

PM and ON must be <em>parallel and equal </em>to each other.

\therefore \overline {PM} \cong \overline {ON}.

Hence proved.

6 0
3 years ago
Two communications companies offer calling plans. With Company X, it costs 30¢ to connect and then
tensa zangetsu [6.8K]
<h3>Answer:  n+15</h3>

=======================================================

Explanation:

  • n = number of minutes
  • cost of company X = 3n+30
  • cost of company Y = 2n+15

To find out how much more company X charges, we subtract the two cost expressions

CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.

--------------

An example:

Let's say you talk on the phone for n = 20 minutes.

Company X would charge you 3n+30 = 3*20+30 = 90 cents

Company Y would charge you 2n+15 = 2*20+15 = 55 cents

The difference of which is 90-55 = 35 cents.

If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.

This example helps confirm the answer. I'll let you try out other examples.

8 0
2 years ago
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