Linear programming which shows the best investment strategy for the client is Max Z=0.12I +0.09B and subject to constraints are :I+ B<=25000,
0.005 I +0.004B<=250.
Given maximum investment client can make is $55000, annual return= 9%, The investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. The internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested.
We have to make a linear programming problem.
Let
I= Internet fund investment in thousands.
B=Blue chip fund investment in thousands.
Objective function:
Max Z=0.12I+0.09B
subject to following constraints:
Investment amount: I+ B<=25000
Risk Rating: 5/100* I+4/100*B<=250 or 0.005 I +0.004B<=250
I,B>=0.
Hence the objective function is Max Z=0.12 I+ 0.09 B.
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Answer:
<u>Same side angles are supplementary</u>
L+k=180
18x-18+72=180
18x=126
x=7
m∠18(7)-18
= 108°
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Answer:
(52, 32 )
Step-by-step explanation:
Given the 2 equations
y = x - 20 → (1)
x + y = 84 → (2)
Substitute y = x - 20 into (2)
x + x - 20 = 84, that is
2x - 20 = 84 ( add 20 to both sides )
2x = 104 ( divide both sides by 2 )
x = 52
Substitute x = 52 into (1) for corresponding value of y
y = 52 - 20 = 32
Solution is (52, 32 )
Answer:
the area of the sidewalk is 336 Sq. ft.
Step-by-step explanation:
8 + 25 = 33
8 + 9 = 17
17×33 = 561
25 × 9 =225
561-225=336