Mathematics Homework Help

There are 3 parts from A, B, C, D and I need help on part B-D

I need to know if the answer I got below are right?

Leave a comment below if you need help

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part A:

0.1A + 0.07B

A+ 1 B <= 10000

A<= 6000

B>=2000

A>=B

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part B:

I think it could be one of these below

“Correct answer is not listed”

, [“(0,10000) , (0,2000) , (6000,2000) , (6000,4000)”],

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Part C:

(6000,4000)

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Part D:

$880

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(Here is the option for each answer for part A to D)

A woman has up to $10000 to invest. Her broker suggests investing in two bonds: Bond A, and Bond B. Bond A is a rather risky bond with an annual yield of 10% and bond B is a rather safe bond with an annual yield of 7%. After some consideration, she decides to invest at most $6000 in bond A , and invest at least $2000 in bond B. Moreover, she wants to invest at least as much in bond A as in bond B. She wishes to maximize her annual yield.

a) In each blank box below, select the best answer from the list that helps complete the objective function and its associated constraint inequalities.

Please note that the option <= indicates ≤ , and the option >= indicates ≥.

R=
[“0.07”, “6000”, “0.1”, “10000”,
“2000”, “Correct answer is not listed”] A+ [“Correct
answer is not listed”, “10000”, “2000”,
“0.1”, “6000”, “0.07”] B

A+
[“Correct answer is not listed”, “2”, “1”,
“0.07”, “0.01”, “2000”,
“6000”] B
[“<=”, “>=”, “=”, “Correct answer is
not listed”] 10000

A
[“Correct answer is not listed”, “<=”, “=”,
“>=”] 6000

B
[“Correct answer is not listed”, “<=”,
“>=”, “=”] 2000

A [“Correct
answer is not listed”, “<=”, “>=”,
“=”] B

b) Use
the geometric approach (with A placed on the x-axis and B on the y-axis) to
determine the coordinates of the corner points of the solution region. Then,
select the answer from this list:

[“(6000,4000) , (6000,2000)
, (8000,2000)”],

[“(0,0) , (0,10000) ,
(10000,0)”],

“Correct answer is not
listed”

, [“(0,10000) , (0,2000) ,
(6000,2000) , (6000,4000)”],

[“(6000,0) , (6000,2000) ,
(8000,2000) , (10000,0)”],

[“(0,0) , (0,2000) ,
(6000,2000) , (6000,0)”],

[“(6000,0) , (6000,4000) ,
(10000,0)”]

c) Which of the feasible corner
points you selected in part (b) above maximizes the objective function? Note that
a feasible corner point is any corner point with at least one non-zero
coordinate. Select the answer from this list:

[“(6000,0)”,

“Correct answer is not
listed”,

“(8000,2000)”

, “(6000,4000)”,

“(0,10000)”,

“(6000,2000)”,

“(10000,0)”]

d) What
is the maximum yield?

“$740”,

“$840”,

“Correct answer is not
listed”,

“$700”,

“$800”,

“$920”,

“$880”