Word problem

[Lazib]

A group of college students arranged a musical program.It was estimated that after deducting all the expenses,earning for a seating capacity of 100 persons will be Rs.6 per seat as the seating capacity increase beyond 100 seats,the earning on each chair would be 5 paisas per seat less for excess of seats above 100.what should be seating capacity so as to earn the maximum amount???

 

[Deleted member 4993]

A group of college students arranged a musical program.It was estimated that after deducting all the expenses,earning for a seating capacity of 100 persons will be Rs.6 per seat as the seating capacity increase beyond 100 seats,the earning on each chair would be 5 paisas per seat less for excess of seats above 100.what should be seating capacity so as to earn the maximum amount???

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[lookagain]

A group of college students arranged a musical program.It was estimated that after deducting all the expenses,earning for a seating capacity of 100 persons
will be > > > Rs.6 < < < per seat as the seating capacity increase beyond 100 seats,the earning on each chair would be 5 > > > paisas < < < per seat
less for excess of seats above 100.what should be seating capacity so as to earn the maximum amount???

How much money is/what is "Rs.6?"

How many paisas are in Rs.6?

For instance, browsing around the Internet, if it were the case that 100 paisas equals 1 rupee (and I don't even know
if paisas and rupees are part of the same group of currency), then we could have this situation:


Let x = the number of seats in excess of 100

Let A(x) = the amount of earnings


\(\displaystyle Amount \ \ of \ \ earnings \ \ = \ \ (Number \ \ of \ \ seats)(Cost \ \ per \ \ seat)\)


\(\displaystyle A(x) \ = \ (100 \ + \ x)(Rs.6 \ - \ 0.05x) \ \ \ \ \ \ \ \ \ \ \) Do not take this as correct automatically. It's a suggestion,

and it depends on you answering my first couple of questions.

 

[Deleted member 4993]

How much money is/what is "Rs.6?" - Money used in South-Eastern Asian continent

How many paisas are in Rs.6? 1 Rupee (Rs.) = 100 paisas (in India) so 6 Rupees (Rs.) = 600 paisas

For instance, browsing around the Internet, if it were the case that 100 paisas equals 1 rupee (and I don't even know
if paisas and rupees are part of the same group of currency), then we could have this situation:


Let x = the number of seats in excess of 100

Let A(x) = the amount of earnings


\(\displaystyle Amount \ \ of \ \ earnings \ \ = \ \ (Number \ \ of \ \ seats)(Cost \ \ per \ \ seat)\)


\(\displaystyle A(x) \ = \ (100 \ + \ x)(Rs.6 \ - \ 0.05x) \ \ \ \ \ \ \ \ \ \ \) Do not take this as correct automatically. It's a suggestion,

and it depends on you answering my first couple of questions.

.

 

[stapel]

A group of college students arranged a musical program.It was estimated that after deducting all the expenses,earning for a seating capacity of 100 persons will be Rs.6 per seat as the seating capacity increase beyond 100 seats,the earning on each chair would be 5 paisas per seat less for excess of seats above 100.what should be seating capacity so as to earn the maximum amount???

What formula did you create for this? You did this same sort of exercise back in algebra, so try using that:

current cost:
seats: 100
per-seat: 600
income: 100*600 = [fill this in]

proposed cost:
seats: 100 + s
per-seat: 600 - 5s
income: [fill this in]

Then note that the income expression is a quadratic, so the maximum will be at the vertex.