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Delvig [45]
3 years ago
15

HELP NEED ASAP!!!!!!

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

the answer is a

Step-by-step explanation:

the answer is a the answer is a the answer is a

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
bonufazy [111]

Answer:

a) The demand function is

q(p) = -4 p + 107

b) The nightly revenue is

R(p) = -4 p^2 + 107 p

c) The profit function is

P(p) = -4 p^2 + 133.75 p - 939

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

s = \frac{79-43}{7-16} = \frac{36}{-9} = -4

Since the demand takes the value 79 in 7, then

q(p) = -4 (p-7) + 79 = -4 p + 107

b) The nightly revenue can be found by multiplying q by p

R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0
3 years ago
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
tino4ka555 [31]
C 50 miles is your answer!
35/0.7
=
50 miles
3 0
2 years ago
Read 2 more answers
Evaluate the expression<br>7 + 10 /5​
Anestetic [448]

Answer:

9

Step-by-step explanation:

Use PEMDAS (Parenthesis, exponent, multiplication, devision, addition, subtraction)

So....

7 + 2 .... Simplified ( 10/5 =2)

9 ..... Added

Hope this helps!

4 0
3 years ago
Read 2 more answers
Can anyone help me if i dont get my grade up i wont get to go to my vollyball games
Alexxandr [17]

Answer:

x = 30

Step-by-step explanation:

\frac{3}{5}(30) + \frac{1}{3}(30) = 28

\frac{3}{5}(30) = 18

\frac{1}{3}(30) = 10

18 + 10 = 28

8 0
2 years ago
Read 2 more answers
Please help me with this one and I will thank you
Alexxandr [17]

I would but my teacher has a ad blocker on and I cant access the attachment :P


7 0
3 years ago
Read 2 more answers
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