S=50x-x^2
dS/dx=50-2x
d2S/dx2=-2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 50-2x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50x-x^2
S(25)=$625.00
1C+3/4 for 6
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<span>4 cm / 1 year x 10 mm / 1 cm x 1 year / 365 days </span>
Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now;
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of given that X(t)=5 is: