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Formulate but Do Not Solve the Following Exercise as a Linear

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Formulate but do not solve the following exercise as a linear programming problem. A financier plans to invest up to $400,000 in two projects. Project A yields a return of 12% on the investment, whereas project B yields a return of 13% on the investment. Because the investment in project B is riskier than the investment in project A, she has decided that the investment in project B should not exceed 45% of the total investment. How much should the financier invest in each project in order to maximize the return on her investment?


Definitions:

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A facility dedicated to promoting health and well-being through various services such as massages, facials, and other body treatments.

Facial

Pertaining to the face, often used in the context of cosmetic treatments that are meant to rejuvenate or clean the facial skin.

Discount

A reduction from the usual cost of something, offered by sellers to encourage purchase.

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A term used to describe events or offerings that are accessible only to those who have received a specific invitation, making them exclusive.

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