Results 1 to 1 of 1

Thread: LP Investment Models -- Please help!

  1. #1
    Apr 2009

    Exclamation LP Investment Models -- Please help!

    Hi! I am trying to figure out this practice problem to study for my upcoming midterm. I am having a lot of trouble with this question and if anyone could help me I would really appreciate it. Thank you in advance!


    Ms. Dyer wants to develop an investment strategy to finance her four-year law school education and articling. She will be able to draw upon several sources of funding: a university scholarship, a small inheritance left recently by her grandmother, as well as some RESP funds established by her parents for her when she was young. Naturally, she wishes to have available the largest possible amount of cash upon graduation. She estimates her revenues and expenses as:

    Revenues ($1000):
    Year 1 30
    Year 2 40
    Year 3 25
    Year 4 15

    Expenses ($1000):
    Year 1 10
    Year 2 25
    Year 3 25
    Year 4 12.5

    Ms. Dyer has $5,000 in cash right now; assume now is the beginning of year one, and that both her expenses and revenues occur at the beginning of each year. Any money left over in any year can be invested in guaranteed investment certificates (GIC's) for one year at a rate of 1.45%, for two years at 3.73%, for three years at 4.88%, and for four years at 6.98%. She uses the principle

    Money invested + Expenses Paid < Revenue + Money Earned from Investment

    Formulate an LP model that will maximize the value of Ms. Dyer's GIC's at the end of her fourth year.

    I started to work on the question but have no idea if what I am doing is satisfying the problem or answers what the problem is looking for:

    Let 'r' = revenus (in $1000)
    Let 'e= expenses (in $1000)
    Let xi= amount invested in year i, i= 1,2,...5

    Objective function:
    Maximize value of GIC's ('v')
    V=1.045 Xi + 1.0373 Xii + 1.0488 Xiii + 1.0488 Xiv


    (xi + xii + xiii + xiv) + e < r + v

    xi, xii , xiii , xiv> 0

    I don't know if that is correct or if it will help me solve the problem.
    Last edited by Jd09; Nov 2nd 2012 at 06:26 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. return on investment if initial investment not counted
    Posted in the Business Math Forum
    Replies: 0
    Last Post: Oct 23rd 2012, 06:19 AM
  2. an investment
    Posted in the Algebra Forum
    Replies: 3
    Last Post: Sep 8th 2010, 12:20 AM
  3. investment
    Posted in the Algebra Forum
    Replies: 3
    Last Post: Aug 12th 2010, 10:42 PM
  4. investment
    Posted in the Business Math Forum
    Replies: 3
    Last Post: Nov 7th 2007, 07:27 PM
  5. Replies: 2
    Last Post: Jul 17th 2007, 05:11 AM

Search Tags

/mathhelpforum @mathhelpforum