Answer:
$48 per unit
Step-by-step explanation:
Increasing the price by $5 reduces demand by 20 units, so the slope of the curve is -4 units per dollar. This lets us write a demand equation as ...
q = -4(p -50) +184
q = -4p + 384
q = 4(96 -p)
The revenue is the product of price and demand:
r = pq = 4p(96 -p)
This is the equation of a quadratic curve that opens downward and has zeros at p=0 and p=96. The vertex (maximum) will be halfway between the zeros, at ...
p = (0+96)/2 = 48
A price of $48 per unit will yield a maximum total revenue.
Answer:
252
Step-by-step explanation:
X^2 + 8x - 5 = 0
a = 1, b = 8, c = -5
x = ( - 8 + - sqrt(64 - 4*1*-5))/2
x = ( -8 + - sqrt(64+20))/2
x = ( -8 + - sqrt (84))/2
x = ( - 8 + - 2sqrt21))/2
x = -4 + - sqrt21