Marginal avg cost thetion. $$ M \bar{C}(x)=-400 x^{2}

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Marginal avg cost thetion. $$ M \bar{C}(x)=-400 x^{2}<0 $$

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To analyze the marginal average cost function given by $$ M \bar{C}(x) = -400 x^{2} $$, we can follow these steps:

1. **Identify the function**: The function is $$ M \bar{C}(x) = -400 x^{2} $$.

2. **Determine the nature of the function**: Since the coefficient of $$ x^{2} $$ is negative, this indicates that the marginal average cost is decreasing as $$ x $$ increases.

3. **Check the condition**: The condition $$ M \bar{C}(x) < 0 $$ implies that the marginal average cost is negative for all $$ x $$. This means that as production increases, the average cost decreases.

4. **Find critical points**: Since this is a quadratic function that opens downwards, it does not have any critical points where the function equals zero.

5. **Conclusion**: The marginal average cost is always negative, indicating that increasing production will continue to lower the average cost.

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The marginal average cost is always negative, meaning that increasing production continues to lower the average cost.

Marginal avg cost thetion.

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