Calculus for Business Question!

label Calculus
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

PriceDividend Yield
KT (KT Corporation)$167%
IFF (International 
Flavors & Fragrances)
QSII (Quality Systems)$802%

You invested a total of $11,600 in shares of the three stocks at the given prices, and expected to earn $272 in annual dividends. If you purchased a total of 200 shares, how many shares of each stock did you purchase? 

Sep 12th, 2015

Thank you for the opportunity to help you with your question!

let the number of 3 stocks are x,yz respectively, then we have 

x+y+z = 200, 

16x+56y+80z = 11600

0.07*16x+0.02*56y+0.02*80z = 272

simplify the equations

x+y+z = 200

x+3.5 y+5z = 725

1.12 x+1.12y+1.6z = 272 or x+y +  10/7 z  = 1700/7

x=y=50, z= 100

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 12th, 2015

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