Consider the following problem.
1 answer:
Answer:
The answer to Question A is well explained in the attachment
B) The increase in the Z value with the increase in unit in the particular resource is said to be shadow source of a resource.
It can be resolved with the help of an optimal solution
Step-by-step explanation:
Consider the following problem.
Maximize Z = x1 ? 7x2 + 3x3
subject to
2x1 + x2 ? x3 ? 4
4x1 ? 3x2 ? 2
?3x1 + 2x2 + x3 ? 3
x1, x2, x3 ? 0
(a) (points: 6) Work through the simplex method step by step to solve the problem.
(b) (points: 4.5) Identify the shadow prices for the three resources and describe their significance.
The answer to A is explained in the attachment
b) The increase in the Z value with the increase in unit in the particular resource is said to be shadow source of a resource.
It can be resolved with the help of an optimal solution
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Answer:
a)
the probability that Fischer wins the match is 0.5714
b)
p( D = d ) = {
, d = 1, 2, 3, ........
otherwise
Step-by-step explanation:
Given that;
probability that Fischer wins the match, p = 4
probability that Spassky wins the match, q = 0.3
Match drawn, 1 - p - q = 1 - 0.4 - 0.3 = 0.7
(a) What is the probability that Fischer wins the match?
P( Fischer wins) = p/( p+q)
we substitute
P( Fischer wins) = 0.4 / ( 0.4 + 0.3)
P( Fischer wins) = 0.4 / 0.7
P( Fischer wins) = 0.5714
Therefore, the probability that Fischer wins the match is 0.5714
b) What is the PMF of the duration of the match?
let D represent the duration of the match
since the duration D of the match is a geometric random variable with parameter p + q,
the PMF will be;
p( D = d ) = ( p + q )
= ( 0.4 + 0.3 )
p( D = d ) = ( 0.7)
that is, p( D = d ) = {
, d = 1, 2, 3, ........
otherwise
Check the picture below.
so... if Julia folded the paper, in a way that P was on top of Q, that means the crease is running through the half-way point or midpoint, that means that, if the segment PQ is 2.4, the segments on either side of the crease, PS and QS are both two equal halves.
so... if Julia folded the paper, in a way that P was on top of Q, that means the crease is running through the half-way point or midpoint, that means that, if the segment PQ is 2.4, the segments on either side of the crease, PS and QS are both two equal halves.