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tia_tia [17]
3 years ago
14

A sandwich shop made a 12-foot-long sandwich and is going to cut it into pieces that are each 1/2-foot long. How many pieces wil

l there be?
Mathematics
2 answers:
nikdorinn [45]3 years ago
7 0

Answer:6

Step-by-step explanation:12 - 6 = 6

Allushta [10]3 years ago
5 0

Answer:

6 pieces is the answer

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(a)Revenue function, R(x)=580x-x^2

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\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x

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(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2

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<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

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Profit=Revenue -Total cost

580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4

The number of cakes that maximizes profit is 4.

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