6.8% increase in $44,000
1 answer:
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Answer:
maximum value of P is 33
Step-by-step explanation:
Sketch the lines represented by the constraints
5x + y = 16
with intercepts (, 0) and (0, 16)
2x + 3y = 22
with intercepts (11, 0) and (0, )
The solutions to both are below the lines.
Solve 5x + y = 16 and 2x + 3y = 22 simultaneously to find the point of intersection at (2, 6)
The coordinates of the vertices of the feasible region are
(0, 0), (0, 16), (2, 6), 11, 0)
Evaluate the objective function at each vertex
P = 3(0) + 2(0) = 0 + 0 = 0
P = 3(0) + 2(16) = 0 + 32 = 32
P = 3(2) + 2(6) = 6 + 12 = 18
P = 3(11) + 2(0) = 33 + 0 = 33
The maximum value of P is 33 when x = 11 and y = 0
Answer:
x = 9
Step-by-step explanation:
We need to find the value of x if the polygons in each pair are similar.
As they are similar, the ratio of their sides are equal.
The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.
So,
So, the value of x is equal to 9.
Answer:
a)
b) 0.1567
c)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $27,293 per year
Standard Deviation, σ = $7,235
We are given that the distribution of cost of college is a bell shaped distribution that is a normal distribution.
a) Distribution of X
Let X be the cost for a randomly selected college. Then,
b) Probability that a randomly selected Private nonprofit four-year college will cost less than $20,000 per year.
Calculation the value from standard normal z table, we have,
c) 70th percentile for the distribution.
We have to find the value of x such that the probability is 0.7
Calculation the value from standard normal z table, we have,
The 70th percentile for the distribution of college cost is $31,084.14