You have a new job as a Financial Planning assistant.  Your client wants to invest money in stocks, bonds, and treasuries that have the dividend yields shown in the table below.  Your job is to allocate their money across these three investments such that the total dollars of stocks is at least $10,000 more than the total dollars in bonds plus treasuries.  In addition, they have identified the maximum investment in each of those three investment types (also shown below).  Maximize the dividends earned. Your answer will be the total Dividends earned (rounded to whole dollars).   Scenario 3 Stocks: yield % 1.14 Bonds: yield % 3.03 Treasuries: yield % 2.08 Stocks: $ max 410,000 Bonds: $ max 300,000 Treasuries: $ max 300,000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 63P
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You have a new job as a Financial Planning assistant.  Your client wants to invest money in stocks, bonds, and treasuries that have the dividend yields shown in the table below.  Your job is to allocate their money across these three investments such that the total dollars of stocks is at least $10,000 more than the total dollars in bonds plus treasuries.  In addition, they have identified the maximum investment in each of those three investment types (also shown below).  Maximize the dividends earned.

Your answer will be the total Dividends earned (rounded to whole dollars).

  Scenario 3
Stocks: yield % 1.14
Bonds: yield % 3.03
Treasuries: yield % 2.08
Stocks: $ max 410,000
Bonds: $ max 300,000
Treasuries: $ max 300,000
Expert Solution
LPP Maximizations

In this problem We're attempting to maximize or decrease the value of this linear function, such as profit or revenue maximization or cost minimization. As a result, these linear programming issues are categorized as maximizing, minimization, or simply optimization problems. The function we're seeking to improve is referred to as an objective function, and the requirements that must be certainly met are referred to as constraints.

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9781337406659
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Cengage,