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The Profit Function for Two Types of IPod Is =5x12+38x15x22+44x2+520 =-5 x_{1}^{2}+38 x_{1}-5 x_{2}^{2}+44 x_{2}+520

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The profit function for two types of iPod is :
Profit =5x12+38x15x22+44x2+520 =-5 x_{1}^{2}+38 x_{1}-5 x_{2}^{2}+44 x_{2}+520
where x₁ and x₂ represent number of units of production of basic and advanced iPods, respectively.
Production time required for the basic iPod is 6 hours per unit, and production time required for the advanced iPod is 8 hours per unit. Currently, 50 hours are available. The cost of hours is already factored into the profit function. a. Formulate an optimization problem that can be used to find the optimal production quantity of basic and advanced iPods.
b. Solve the optimization model you formulated in part a. How much should be produced?

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Definitions:

Medial

Pertaining to the middle or center; closer to the median plane or midline of the body or structure.

Blood Cell Production

Blood cell production, also known as hematopoiesis, is the process by which the body produces blood cells in the bone marrow.

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Relating to or functioning as a part of the skeleton, the internal framework that supports and determines the shape of an organism.

Cardiovascular

Relating to the heart and blood vessels and their functions in circulating blood throughout the body.

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