Mathematics Homework Help

I need help especially on part B,C, and 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 $\le$ , and the option >= indicates ≥.

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

A+ [ Select ] [“Correct answer is not listed“, “2“, “1“, “0.07“, “0.01“, “2000“, “6000“] B [ Select ] [“<=“, “>=“, “=“, “Correct answer is not listed“] 10000$\mathrm{}$

A [ Select ] [“Correct answer is not listed“, “<=“, “=“, “>=“] 6000$\mathrm{}$

B [ Select ] [“Correct answer is not listed“, “<=“, “>=“, “=“] 2000$\mathrm{}$

A [ Select ] [“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: [ Select ] [“(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: [ Select ] [“(6000,0)“, “Correct answer is not listed“, “(8000,2000)“, “(6000,4000)“, “(0,10000)“, “(6000,2000)“, “(10000,0)“]

d) What is the maximum yield? [ Select ] [“$740“, “$840“, “Correct answer is not listed“, “$700“, “$800“, “$920“, “$880“]