The Following Linear Programming Problem Has Been Written to Plan

question 59

Multiple Choice

The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X₁ = number of product 1 produced in each batch
X₂ = number of product 2 produced in each batch
$$\begin{array} { l l } \text { MAX: } & 150 X _ { 1 } + 250 X _ { 2 } \\\text { Subject to: } & 2 X _ { 1 } + 5 X _ { 2 } \leq 200 \\& 3 X _ { 1 } + 7 X _ { 2 } \leq 175 \\& X _ { 1 } , X _ { 2 } \geq 0\end{array}$$ How much profit is earned per each unit of product 2 produced?

• A) 150
• B) 175
• C) 200
• D) 250

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Definitions:

Organ Of Corti

A structure located in the inner ear, essential for converting sound vibrations into nerve impulses, leading to hearing.

Organ Of Corti

A structure in the cochlea of the inner ear that contains hair cells, which act as the sensory receptors for hearing.

Basilar Membrane

A key structure in the cochlea of the inner ear, which plays a critical role in the process of hearing by vibrating in response to sound waves.

Hair Cells

Specialized sensory cells located in the ear that detect sound waves and convert them into nerve signals.