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:
V(X)= 39.10
V(Y)= 40
Step-by-step explanation:
Given that
Total number of student = 140
Bus A - 31
Bus B- 43
Bus C- 27
Bus D- 39
The probability that a student was on the bus is proportional to the number of student. Eg 31/140 in bus A, 43/140 on bus B, ...
E(X) = (31*31/140) + (43*43/140) + (27*27/140) + (39*39/140)
= 35.5
V(X)= 39.10
The bus driver have 1/4 probability on being on any of the buses.
E(Y) = 140/4 = 35
V(Y)= 40
The domain of this sine function is the entire set of real numbers. Since there is no real value of x for which sin(x) becomes undefined, then the entire set of reals is the domain.
(On the other hand, the range would be from -4 <= y <= 4, since the sine function can only have a value ranging from -1 to 1, and multiplying 4 expands that from -4 to 4.)
