Question 1173430: A SMART company has 500 customers paying Php 600.00 each month. A decrease of Php 30.00 in a monthly payment, they found out that it can attracts 120 additional customers
1)How much is the total monthly payments if the costumers pay Php 600.00 per month?
2)How much is the total monthly payments if the costumers pay Php 570.00
3)Write a quadratic function in standard for that models the revenue R from the payments each per month
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 500 * 600 = 30,0000
500 is the number of customers
600 is the amount they pay each month.
if they drop the amount they pay each month by 30, they will attract 120 more customers.
the equation to model that would be:
y = (500 + 120x) * (600 - 30x)
what this says is that, for every drop in the price of 30, the number of customers will increase by 120.
y represents the revenue which is a function of demand * price.
the value of x is the number of times that 30 is dropped from the price and 120 is added to the number of customers.
when x = 0, the equation becomes y = 500 * 600 which gets you y = 300,000.
when x = 1, the equation becomes y = 620 * 570 which gets you y = 353,400.
the equation in standard form is:
y = -3,600 * x^2 + 57,000 * x + 300,000
when x = 0, y is equal to 300,000.
when x = 1, y = -3,600 + 57,000 + 300,000 = 353,400.
both equations draw the same curve on the graph and provide the same answers for the same value of x.
this means they are equivalent.
the graph of both equations is shown below.
your questions and the answers to them are shown below.
1)How much is the total monthly payments if the costumers pay Php 600.00 per month?
the total payments are 500 * 600 = 300,000.
total payments means the same as total revenue.
2)How much is the total monthly payments if the costumers pay Php 570.00
when the price is dropped by 30, the number of customers increases by 120.
the total payments are 620 * 570 = 353,400.
3)Write a quadratic function in standard for that models the revenue R from the payments each per month
the quadratic function in standard form is y = -3,600 * x^2 + 57,000 * x + 300,000.
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