A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions.
Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario.

Question

Adigirl29 · Answer

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Adigirl29 · Answer

this one is asking me for the value of the maximum of the function, I think it might be like 13 and 2000?

SoundwaveKun · Answer

Here are the steps:

Locate the vertex, calculate the maximum profit, and then solve for P(13). ^_^

Adigirl29 · Answer

okay so the vertex is 13,2000, for the profit how would I calculate it

SoundwaveKun · Answer

@adigirl29 wrote:

okay so the vertex is 13,2000, for the profit how would I calculate it

Using this formula: Find the maximum value of the function by substituting x = 13 into the original function P(x):P(13) = -6(13^2) + 156(13) + 1,000 calculate P(13):P(13) = -6(169) + 2,028 + 1,000 P(13) = -1,014 + 2,028 + 1,000 P(13) = 2,028 + 1,000 P(13) = ?

Adigirl29 · Answer

I got 15028, is that right?

SoundwaveKun · Answer

@adigirl29 wrote:

I got 15028, is that right?

Actually, the value should be $3,028.

Adigirl29 · Answer

oh got it

SoundwaveKun · Answer

@adigirl29 wrote:

oh got it

Good job though! ^_^

Adigirl29 · Answer

tysm really this helped a lot

SoundwaveKun · Answer

@adigirl29 wrote:

tysm really this helped a lot

Of course! 💙

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