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zahinparvez69
27.12.2019 •
Mathematics
Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value.
minimize
exam image
subject to
x ≤ 3
y ≤ 9
x + y ≥ 9
x ≥ 0
y ≥ 0
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Ответ:
Minimum value of function
is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :
Subject to constraints:
Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering
, corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.
at A(0,9)
at B(3,9)
at C(3,6)
Minimum value of function
is 63 occurs at point C (3,6).
Ответ:
answer: 7 percent.
step-by-step explanation:
since here, probability of choosing arts, p(a)= 15%
probability of choosing arts and drama
= 2%
probability of choosing arts or drama
= 20%
probability of choosing dramas, p(d)=?
since, we know that,![p(a\cup d)=p(a) + p(d)-p(a\cap d)](/tex.php?f=p(a\cup d)=p(a) + p(d)-p(a\cap d))
⇒20 = 15+ p(d) - 2
⇒ p(d) = 20-15+2= 7
⇒ p(d) = 7%
therefore, 7 % is the probability that a student chooses drama as an elective.