Belsky Manufacturing Makes Three Models of Fans, Identified by the Unimaginative

question 19

Essay

Belsky Manufacturing makes three models of fans, identified by the unimaginative names of A, B, and C. The fans are made out of nuts, bolts, wire, blades, and motors. The current inventory levels and parts list for each type of fan is shown in the table.

Fan A sells for $18, Fan B sells for $25, and Fan C sells for $30.
Milo Belsky decided to arrive at an optimal production quantity using linear programming. His initial solution was to produce 50 Fan As and 21.4 Fan Cs for a profit of $1,542.86.
Determine what his inventory would be.
Charlie Belsky made an important change to the model and ran the linear programming software again, His solution was to produce 50 Fan As, -150 Fan Bs, and 150 Fan Cs for a profit of $1,650 units. What change did he make to the model and what would the ending inventory be if they were to produce according to this plan? What are the practical implications of this solution?

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Definitions:

Infancy

The earliest stage in human development, extending from birth to about 2 years of age, characterized by rapid physical growth and cognitive development.

Sleep Cycle

A repetitive pattern of sleep phases that an individual goes through during sleep, typically including stages of REM and non-REM sleep.

Stage 1

In a developmental or disease progression context, it refers to the initial phase where signs may be minimal or the condition is in its earliest stage.

REM Sleep

A stage of sleep characterized by rapid eye movements, more vivid dreams, and increased brain activity.