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43. Investment A brokerage house offers three stock port-folios for its clients. Portfolio I consists of 10 blocks of common stock, 2 municipal bonds, and 3 blocks of preferred stock. Portfolio II consists of 12 blocks of common stock, 8 municipal bonds, and 5 blocks of preferred stock. Portfolio III consists of 10 blocks of common stock, 6 municipal bonds, and 4 blocks of preferred stock. A client wants to combine these portfolios so that she has 180 blocks of common stock, 140 municipal bonds, and 110 blocks of preferred stock. Can she do this? To answer this question, let x equal the number of units of portfolio I, y equal the number of units of portfolio II, and z equal the number of units of portfolio III, so that the equation 10x + 12y + 10z = 180 represents the total number of blocks of common stock.
- a. Write the remaining two equations to create a system of three equations.
- b. Solve the system of equations, if possible.
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EBK COLLEGE ALGEBRA IN CONTEXT
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