The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%. How much should they invest in each type of bond to maximize income if the amount in the stable bond should not exceed the amount in the more volatile bond? What is the maximum income?
In the volatile bonds = not than 60,000 $

Question

The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%. How much should they invest in each type of bond to maximize income if the amount in the stable bond should not exceed the amount in the more volatile bond? What is the maximum income?
In the volatile bonds = not > than 60,000 $

anonymous · Answer

In the volatile bonds = not > than 60,000 $ 

To get maximum yield , you have to invest 60,000 $ in 11% bonds 

So amount invested in stable bonds = 130.000 - 60,000 = 70,000 $ 


This is more than 60,000 $ 

Both the conditions given cannot be satisfied.

anonymous · Answer

@Nnesha

anonymous · Answer

u tag i dont know much people

anonymous · Answer

@mathmath333 @Jhannybean  @hartnn

anonymous · Answer

@hartnn  last question

anonymous · Answer

again? @hartnn

anonymous · Answer

ok

aric200 · Answer

Previously posted here. http://openstudy.com/study#/updates/51a02c32e4b04449b22201c1

anonymous · Answer

correct? plz check vertices plz

aric200 · Answer

This is an Exam I assume So I am not gonna help you more than I already did.

anonymous · Answer

@aric i already work it out but my teacher said do it again and said:Check the vertices again. Use the controlling parameters on the dimensions 
to be tiled as 2 constraints

aric200 · Answer

Show me your previous work

anonymous · Answer

In the volatile bonds = not > than 60,000 $ 

To get maximum yield , you have to invest 60,000 $ in 11% bonds 

So amount invested in stable bonds = 130.000 - 60,000 = 70,000 $ 


This is more than 60,000 $ 

Both the conditions given cannot be satisfied.

anonymous · Answer

@aric200 but my teacher said check again

anonymous · Answer

plz explain

anonymous · Answer

@hartnn  plz help dear i am waiting since an hour

anonymous · Answer

@ganeshie8  @Abhisar

anonymous · Answer

@Compassionate  @Hero  @Ashleyisakitty  @AlexisPooBear

mathmath333 · Answer

Let $"x"$ be the number of dollars invested in the "stable bonds" 
 let $"y"$ be the number of dollars invested in the "more volatile bonds"
maximum income
$P=1.055x+1.11y$
u have to maximize $P$
so graph the following inequalities
$\large\tt \begin{align} \color{black}{x\geq  40000\~\
y\leq 60000\~\
x\leq y\~\
x+y\leq 130000\~\

}\end{align}$

note their edge points and find the maximum value for $P$

anonymous · Answer

@mathmath333  thanks finally

anonymous · Answer

40000+60000<=130000
  100000          <=130000
@mathmath333

mathmath333 · Answer

u have to graph the inequalities

anonymous · Answer

ok

anonymous · Answer

i use desmos  and its not coming in desmos plzz help @mathmath333

anonymous · Answer

P= 1.055(40000)+1.11(60000)
P=50200+66600
P=116800

anonymous · Answer

Check plzz @mathmath333

mathmath333 · Answer

https://www.desmos.com/calculator/avuzhpu5yh

mathmath333 · Answer

the edge points here are
$\large\tt \begin{align} \color{black}{(40000,40000)\~\
(40000,60000)\~\
(60000,60000)\~\

}\end{align}$

mathmath333 · Answer

see which one maximizes $P$

mathmath333 · Answer

http://www.wolframalpha.com/input/?i=x%2By%5Cleq+130000%2Cx%5Cleq+y%2Cx%5Cgeq+40000%2Cy%5Cleq+60000+

anonymous · Answer

(40000,60000)

mathmath333 · Answer

i think 
$(60000,60000)$ will be the maximum

anonymous · Answer

@BT_92