Final answer:
If the labor hours are increased by 600 and the shadow price for labor hours is $4.25, the additional profit would be 600 hours multiplied by $4.25 per hour, resulting in $2,550.
Step-by-step explanation:
The question pertains to the concept of shadow price in optimization problems, specifically in the context of linear programming in a business environment. The shadow price here represents the increase in the objective function (profit) for a unit increase in the availability of a constrained resource (labor hours). Given a shadow price of $4.25 per labor hour, for an increase of labor hours within the allowable range, the additional profit will be the product of the shadow price and the number of hours increased.
Therefore, if we increase the available labor hours by 600 (which is within the specified range), the additional profit earned would be: 600 labor hours * $4.25 per labor hour = $2,550.