What would be the value of the objective function (i.e. total revenue) at the optimal solution if total available hours for finishing was 100 hours, as opposed to 110 hours given in the original problem scenario?

$14,708.98

$13,722.49

$12,756.00

The reports are not sufficient to tell

To answer this question, we need to assess how changing the constraint for available finishing hours from 110 to 100 hours affects the objective function (total revenue). Without the complete setup of the original problem (such as the optimization model, variables, and constraints), we can't definitively compute or confirm the objective function's value.

Since the problem does not provide enough details (e.g., the objective function equation, constraints, and other relevant parameters), the best response would be:

**The reports are not sufficient to tell**.

Without the specifics of how the reduction in hours impacts the constraints, we cannot conclusively say what the value of the objective function would be.

Would you like to provide more details about the problem to explore this further? 

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Here are some related questions that could help clarify the issue:

1. What is the specific objective function in this optimization problem?
2. How does the reduction in hours affect the constraints?
3. Can the problem be solved using linear programming, and if so, what method is used?
4. How do the other resources or constraints (besides hours) impact the solution?
5. Is there a sensitivity analysis available for the problem?

**Tip:** In optimization problems, sensitivity analysis is often used to determine how small changes in constraints affect the objective function.

What would be the value of the objective function (i.e. total revenue) at the optimal solution if total available hours for finishing was 100 hours, as opposed to 110 hours given in the original problem scenario?

Explore how reducing the available finishing hours from 110 to 100 affects the objective function (total revenue) in an optimization problem. This analysis covers key linear programming concepts, such as objective functions and constraints. Suitable for students at the undergraduate level or advanced high school learners.

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