If fixed cost at $$ Q=100 $$ is $$ \$ 130 $$, then fixed cost at $$ Q=0 $$ is $$ \$ 0 $$ fixed cost at $$ Q=0 $$ is less than $$ \$ 130 $$ fixed cost at $$ Q=200 $$ is $$ \$ 260 $$ fixed cost at $$ Q=200 $$ is $$ \$ 130 $$ it is impossible to calculate fixed costs at any other quantity

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To analyze the fixed costs based on the information provided, let's clarify the concept of fixed costs:

1. **Fixed Costs**: These are costs that do not change with the level of output (quantity, $$ Q $$). They remain constant regardless of how much is produced.

Given the information:
- At $$ Q = 100 $$, the fixed cost is $$ \$ 130 $$.

Now, let's evaluate the statements one by one:

1. **Fixed cost at $$ Q=0 $$ is $$ \$ 0 $$**: This statement is incorrect. Fixed costs are constant and do not change with the quantity produced. Since the fixed cost at $$ Q = 100 $$ is $$ \$ 130 $$, it must also be $$ \$ 130 $$ at $$ Q = 0 $$.

2. **Fixed cost at $$ Q=0 $$ is less than $$ \$ 130 $$**: This statement is also incorrect for the same reason as above. The fixed cost remains $$ \$ 130 $$ at all levels of output, including $$ Q = 0 $$.

3. **Fixed cost at $$ Q=200 $$ is $$ \$ 260 $$**: This statement is incorrect. The fixed cost does not change with quantity; it remains $$ \$ 130 $$ regardless of whether $$ Q = 100 $$, $$ Q = 200 $$, or any other quantity.

4. **Fixed cost at $$ Q=200 $$ is $$ \$ 130 $$**: This statement is correct. The fixed cost remains constant at $$ \$ 130 $$ at all levels of output.

5. **It is impossible to calculate fixed costs at any other quantity**: This statement is misleading. While we cannot derive fixed costs from variable costs without additional information, we know that fixed costs are constant at $$ \$ 130 $$ for any quantity.

In summary, the only correct statement is that the fixed cost at $$ Q = 200 $$ is $$ \$ 130 $$. All other statements are incorrect.
The fixed cost remains $$ \$130 $$ at all quantities, including $$ Q = 200 $$.

If fixed cost at \( Q=100 \) is \( \$ 130 \), then fixed cost at \( Q=0 \) is \( \$ 0 \) fixed cost at \( Q=0 \) is less than \( \$ 130 \) fixed cost at \( Q=200 \) is \( \$ 260 \) fixed cost at \( Q=200 \) is \( \$ 130 \) it is impossible to calculate fixed costs at any other quantity

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