Answer:
The monopolist's net profit function would be:
Step-by-step explanation:
Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.
Therefore, if the demand curve is given by the function:
P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.
Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):
Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):
Answer:
2(x-1)=2x-2
Step-by-step explanation:
distribute the 2 into (x-1) so you get 2x-2 which is equal to 2x-2
The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
<h3>Probability</h3>
a. Distribution
X ~ N (20 , 6)
b. P(x ≤24)
= P[(x - μ ) / σ (24 - 20) / 6]
= P(z ≤0.67)
= 0.74857
=0.7486
Hence:
Probability = 0.7486
c. P(21 < x < 26)
= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]
= P(-0.83 < z < 0.67)
= P(z < 0.67) - P(z < -0.)
= 0.74857- 0.2033
= 0.54527
Hence:
Probability =0.54527
d. Using standard normal table ,
P(Z < z) = 66%
P(Z < 0.50) = 0.66
z = 0.50
Using z-score formula,
x = z× σ + μ
x = 0.50 × 6 + 20 = 23
23 Christmas cards
Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
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Answer:
A ≈ 75 in²
Step-by-step explanation:
the area (A) of the circle is calculated as
A = πr² ( r is the radius )
here r = 5 and using 3 for π , then
A = 3 × 5² = 3 × 25 = 75 in²
Step-by-step explanation:
n = 0 : 2(0) -1 = -1
n = 1 : 2(1) - 1 = 1
n = 2 : 3
n = 3 : 5
n = 4 : 7
n = 5 : 9
sum = -1 + 1 + 3 + 5 +7 + 9 = 25
