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2 answers:
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Answer:
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).
Answer:
1.
2.
3.
Step-by-step explanation:
Write in exponential form
Using the law of logarithm which says if
then
By comparison;
A = 16; b = 2 and x = 4
The expression becomes
Write in exponential form
Applying the same law as used in (1) above;
A = 2; b = 16 and
The expression becomes
Write in logarithm form
Using the law of logarithm which says if
then
By comparison;
b = 2; x = z and A = y
The expression becomes