Math 132 1019 – 2021 Fall Sec

I need your help specifically on part B,C, and D

I think for B it could be A=(6000,2000) B=(8000,2000) C=(6000,4000) or or or the one below.

I think C can be (6000,2000) or (1500,500) or the one below.

I think D can be $880 or$940 or the one below

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

$6000$

in bond A

$A$

, and invest at least \$2000

$2000$

in bond B.

$B.$

Moreover, she wants to invest at least as much in bond A

$A$

as in bond B.

$B.$

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

$\le$

, and the option >= indicates

$\ge$

.

R=

$R=$

A+

$A+$

B

$B$

A+

$A+$

B

$B$

10000

$10000$

A

$A$

6000

$6000$

B

$B$

2000

$2000$

A

$A$

B

$B$

b) Use the geometric approach (with A

$A$

placed on the x-axis and B

$B$

on the y-axis) to determine the coordinates of the corner points of the solution region. Then, select the answer from this list:

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:

d) What is the maximum yield?

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