A Company Produces Four Products Each of Which Must Undergo

question 43

Essay

A company produces four products each of which must undergo assembly,inspection,and packaging.The information below summarizes the hours required for each operation by each product,the total hourly capacity for each operation,and the fixed cost incurred by each product if it is produced.

Each unit of product 1 sold will contribute $60 to profit,and each unit of products 2,3,and 4 contributes $65,$70,and $55,respectively.What is the optimal product mix?

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Definitions:

Lysosome

Membrane-bound vesicle that contains hydrolytic enzymes for digesting macromolecules and bacteria; used to recycle worn-out cellular organelles.

Vacuole

An enclosed compartment within a cell, often large in plant cells, that contains water and dissolved substances.

Golgi Apparatus

A cell organelle involved in modifying, sorting, and packaging proteins and lipids into vesicles for delivery to targeted destinations.

Tay-Sachs

A genetic disorder characterized by the destruction of nerve cells in the brain and spinal cord, leading to severe neurological impairment.