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Selling Stocks and Retaining Portfolio Ratio

You own 1000 shares of Robotica Galactica (RG) at $39.00 per share. You also own 500 shares of Algebraic Flavors and Fragrance International (AFFI) at $100 per share. You would like to liquidate a part of your holdings to generate about $40,000 in cash for an emergency use. How would you sell your stock so that in your portfolio the remaining stocks maintain roughly the same ratio?

Note: Clever solutions are just as welcome as mathematical formulations!

Solution Summary

Selling stocks and retaining portfolio ratio are investigated. Systems of equations are employed.