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What is the domain of the profit function P = 6t + 10s?

A. Is the profit function defined for all s > 0 and t² ≥ 0?

B. Is the profit function defined for all s > 0 and t > 0?

C. Is the profit function defined for all s ≥ 0 and t > 0?

D. Is the profit function defined for all s ≥ 0 and t² ≥ 0?

User John Corry
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1 Answer

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Final answer:

The domain of the profit function P = 6t + 10s is defined for all s > 0 and t > 0.

Step-by-step explanation:

The profit function P = 6t + 10s represents the total profit based on the values of t and s. To determine the domain of the profit function, we need to consider the possible values that t and s can take.

Option A states that the profit function is defined for all s > 0 and t² ≥ 0. This is incorrect because t² can be negative, and the function would not be defined for negative t² values.

Option B states that the profit function is defined for all s > 0 and t > 0. This is correct because t > 0 ensures that the function is defined for positive t values.

Therefore, the correct option is B: Is the profit function defined for all s > 0 and t > 0?

User Snubber
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