Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 1960 − 70 p where n is the number
of fans that can be sold per month at a price p . Find the selling price that will maximize the revenue.
1 answer:
Answer:
$14
Step-by-step explanation:
The revenue from sales of fans is the product of the number of fans sold and the price at which they are sold:
R(p) = n·p = (1960-70p)p
R(p) = 70(28 -p)p
This equation describes a parabola that opens downward and has zeros at p=0 and p=28. The axis of symmetry is halfway between those zeros, at p=14. It goes through the vertex or point of maximum revenue.
The price for maximum revenue is p = 14 dollars.
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Answer:
Average rate of change =
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change =
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change =
=
=
Therefore, average rate of change in the given interval is .
Answer:
107%
Step-by-step explanation:
because if we look at the x-axis, Discount (%)
and look at 35 which is between 30 and 40
and start going up we get near 100
so
107%
or?
we use the two points and with that we find the slope first
plug in (20,62) and (10,32)
equals
simplify to 3
then we use
y - y1 = m (x - x1)
y - 62 = 3 (x - 20)
y - 62 = 3x - 60
add 60 from both sides
y - 2 = 3x
add 2 to both sides
y=3x+2
then plug in 35
y= 3(35) + 2
which is
107