1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
densk [106]
3 years ago
11

Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket,

attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500

You might be interested in
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
saw5 [17]

Answer:

Step-by-step explanation:

isosceles trapezoid = congruent sides in pairs and the same for the angles

<h2><u><em>angle 1 = 32°</em></u></h2><h2><u><em>angles 2 & 3 = 148°</em></u></h2>

the sum of the interior angles is 360°

so angle 1 = 32°

angles 2 and 3

(360 - 32 - 32) :2 = 148°

check

32 + 32 + 148 + 148 = 360°

the answer is good

7 0
2 years ago
Lin read the first 54 pages from a 270-page book in the last 3 days. Diego read the first 100 pages from a 320-page book in the
ale4655 [162]

Answer:

The answer to your question is:

1st Diego

2nd Diego and Elena ( both 15 days)

Step-by-step explanation:

Data

Lin          54 pages               270-page book                   3 days

Diego   100 pages               320 page                             4 days

Elena   160 pages                480 page                             5 days

Process

Lin

                          54 pages      -------------------   3 days

                        270 page        -----------------      x

                          x = (270 x 3) / 54

                          x = 15 days

Diego

                        100 pages        -----------------   4 days

                        320                  --------------------   x

                        x = (320 x 4) / 100

                        x = 12.8 days

Elena    

                        160 pages -------------------   5 days

                       480 pages --------------------   x

                       x = (480 x 5) / 160

                       x = 15 days

5 0
3 years ago
What is the formula to find the the perimeter of 4 sided shape
yaroslaw [1]

Answer:

add all the sides together

a+b+c+d

4 0
3 years ago
Help on this please I’d appreciate it
maxonik [38]
<h2>Finding the y-intercept given the Graph of the Line</h2>

Answer:

The y-intercept is \boxed{3}

Step-by-step explanation:

The y-intercept of line is just the point where the y-axis and the line. From the given line, we can see that the y-axis and the line that models the temperature on a certain winter day since sunrise (0,3). Also, the question just asked us for the y-coordinate of the y-intercept so 3

6 0
3 years ago
What is the range of f(x) = 4x?
antoniya [11.8K]
Range is all positive real numbers

answer is D. last one
8 0
3 years ago
Read 2 more answers
Other questions:
  • Consider a graph of the equation y = 4x − 5. What is the y-intercept? (5 points) 5 −5 4 −4
    5·2 answers
  • On a coordinate plane, a line goes through (0, negative 1) and (3, 1). A point is at (negative 3, 0).
    7·2 answers
  • I can’t figure this out
    7·2 answers
  • Which description does NOT guarantee that a quadrilateral is a rectangle?
    13·1 answer
  • Rewrite the following as a decimal<br> -5 1/11
    10·1 answer
  • Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an obtuse triangle.
    7·1 answer
  • What is the area of the rectangle
    5·2 answers
  • HELPPPP PLSSSS<br> if you can’t see the picture don’t bother to answer the questions.
    6·1 answer
  • Which of the following fractions is nearest to 1/2
    8·1 answer
  • Expand
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!