What is the value of the expression 3^2(2^3+4)/2^2?
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:
A) 4 students
B) 32.5%
C) 19/40
Step-by-step explanation:
Using set notation to solve the problem with universal set n(U) = 40
Let n(A) be the number of students that pass account
n(E) be the number of students that pass economics
n(M) be the number of students that pass mathematics
n(AUEUM)' be number of students that failed in all the 3 subjects.
n(AUEUM) be number of students that pass in all the 3 subjects.
n(U) = n(AUEUM)+ n(AUEUM)'
Find the remaining solution in the attachment
