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vlada-n [284]
3 years ago
10

Last year, 350 people come to see a spring concert at REL. The cost per ticket was $5.00. The orchestra committee wants to incre

ase ticket prices but it is estimated that for each increase in $0.25, 10 fewer people will attend the concert. What should the committee set the ticket price to maximize ticket sales.
Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0
Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5
wlad13 [49]3 years ago
5 0

Answer:

max: 10   price: 7.5

Step-by-step explanation:

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3 years ago
Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip a
Zigmanuir [339]

Answer:

Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Step-by-step explanation:

<u>Philip</u>

  • $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
  • $45 saved

Let's call x to the number of weeks Philip needs to reach $225.

52.5*x + 45 = 225

52.5*x = 225 - 45

x = 180/52.5

x = 3.43

He needs at least 4 weeks

<u>Kevin</u>

  • 3 hours/day * $7.5/hour *3 days/week = $67.5/week
  • $30 saved

Let's call y to the number of weeks Kevin needs to reach $225.

67.5*y + 30 = 225

67.5*y = 225 - 30

y = 195/67.5

y = 2.9

He needs at least 3 weeks

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

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

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
3 years ago
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