In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method. Investment. An investor has $ 60 , 000 to invest in a CD and a mutual fund. The CD yields 5 % and the mutual fund yields an average of 9 % . The mutual fund requires a minimum investment of $ 10 , 000 , and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return?
In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method. Investment. An investor has $ 60 , 000 to invest in a CD and a mutual fund. The CD yields 5 % and the mutual fund yields an average of 9 % . The mutual fund requires a minimum investment of $ 10 , 000 , and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return?
In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method.
Investment. An investor has
$
60
,
000
to invest in a CD and a mutual fund. The CD yields
5
%
and the mutual fund yields an average of
9
%
. The mutual fund requires a minimum investment of
$
10
,
000
, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return?
3) Let G be the group generated by elements a and b satisfying the relations a² = 63,
66 = 1, and a ¹ba = b¹. Which of the following is equivalent to the element
z = a a-2ba3b3?
A) b-2a-1
B) ab²
C) ab
D) ba
E) b²a
1) Find all complex solutions to cos(z)
=
3) Compute
where C is the circle |z― i|
=
-
1
2
2+1
Po z z
-
2)2
dz
traversed counterclockwise.
Solution: TYPE YOUR SOLUTION HERE! INCLUDE A SKETCH OF THE COM-
PLEX PLANE AND THE CURVE C. ALSO, MARK ALL SINGULARITIES OF THE
INTEGRAND!
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