Calculus for Business Question!

timer Asked: Sep 12th, 2015
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Question Description

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? 

Tutor Answer

School: Duke University

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.

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Thank you! Reasonably priced given the quality not just of the tutors but the moderators too. They were helpful and accommodating given my needs.

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