A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write .
Per price increase is $20. So four price increase is $. Hence, price per dive is 100+80=$180.
Also per price increase, 2 customers are reduced from 30. For 4 price increases, customers are reduced. Hence, total customers is .
So Total Revenue is:
B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.
Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.
Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.
C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as , where a is the coefficient of and b is the coefficient of x. So we have,
That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be . So the price that gives the greatest revenue is .
ANSWERS:
A. $3960
B.
C. $200
Answer:
Step-by-step explanation:
Let x represent the number of vehicles that the sales person sold in a month.
The sales person at the car dealership earns a monthly salary of $2400 and $250 for each vehicle sold. Let y represent the total amount he earns for selling x vehicles in a month. Therefore,
y = 250x + 2400
To determine the number of vehicles that the sales person needs to sell in a month to earn exactly $4000, we would substitute
4000 for y. It becomes
4000 = 250x + 2400
250x = 4000 - 2400 = 1600
x = 1600/250
x = 6.4
He would have to sell 7 vehicles because he cannot sell 6.4 vehicles and if he sells 6 vehicles, it would be lesser than $4000
Answer is True. We cannot write it in rational form where both numbers are finite integers. In this case we cannot represent this number as fraction of finite integers therefore it is irrational.
Answer:
the angle of this is 80 all havevtobdo is add all the sides of the angle
The rate of change of the given equation is: 0.86
Step-by-step explanation:
Rate of change or slope is the steepness of a linear function or line.
When an equation is given in the form of slope-intercept form, the co-efficient of x is the slope or rate of change of the equation.
Given equation is:
We can see that the co-efficient of x is 0.86
Hence,
The rate of change of the given equation is: 0.86
Keywords: Slope, rate of change
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