Answer:
See below.
Step-by-step explanation:
f(x) has local minimum values at x = -2 and x = 3.
The local minimum values of f(x) are -3 and 0.
Answer:
7
Step-by-step explanation:
7
Answer:
Marginal revenue = R'(Q) = -0.6 Q + 221
Average revenue = -0.3 Q + 221
Step-by-step explanation:
As per the question,
Functions associated with the demand function P= -0.3 Q + 221, where Q is the demand.
Now,
As we know that the,
Marginal revenue is the derivative of the revenue function, R(x), which is equals the number of items sold,
Therefore,
R(Q) = Q × ( -0.3Q + 221) = -0.3 Q² + 221 Q
∴ Marginal revenue = R'(Q) = -0.6 Q + 221
Now,
Average revenue (AR) is defined as the ratio of the total revenue by the number of units sold that is revenue per unit of output sold.

Where Total Revenue (TR) equals quantity of output multiplied by price per unit.
TR = Price (P) × Total output (Q) = (-0.3Q + 221) × Q = -0.3 Q² + 221 Q


∴ Average revenue = -0.3Q + 221
Answer:
20% probability of being in honors science if you are in honors math
Step-by-step explanation:
I am going to say that we have two events.
Event A: Being in honors in math. So P(A) = 0.3.
Event B: Being in honors in science. So P(B) = 0.2.
Since they are independent events, we can apply the conditional probability formula, which is:

In which
P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.
is the probability of both events happening.
Since they are independent

So

20% probability of being in honors science if you are in honors math