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rjkz [21]
2 years ago
5

Simplify the following expression.

Mathematics
2 answers:
butalik [34]2 years ago
6 0

<u>Answer:</u>

○ \bf 4^{\frac{1}{8}}

<u>Step-by-step explanation:</u>

To solve this, we have to use the following rule of surds:

\boxed{(a^m)^n = a^{m \times n}}.

Thus we can simplify the given expression:

(4^{\frac{1}{4}})^{\frac{1}{2}}

⇒ 4^{{\frac{1}{4}} \times{\frac{1}{2}}}

⇒ 4^{{\frac{1}{4}} \times{\frac{1}{2}}}

⇒ \bf 4^{\frac{1}{8}}

sdas [7]2 years ago
4 0

Answer:

4^1/8

Step-by-step explanation:

One of the exponential properties

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Profit, revenue and cost are related, and can be calculated from one another.

  • The profit function is \mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}
  • The domain of the profit function is x > 0
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The cost function is given as:

\mathbf{C(x) =30x + 150}

The revenue function is given as:

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This is calculated using:

\mathbf{P(x) = R(x) - C(x)}

So, we have:

\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}

Evaluate like terms

\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}

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When profit is 0 or less, then it becomes no profit.

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<u>(c) The profit for 60 and 70 items</u>

Substitute 60 and 70 for x in P(x)

\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}

\mathbf{P(60) =1650}

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\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}

\mathbf{P(70) = 1500}

The profit when producing 70 items is 1600

<u>(d) Why producing 10 more units less profit</u>

When a function reaches the optimal value, the value of the function begins to reduce.

This means that, producing 10 more units takes the profit function beyond its maximum point.

Read more about profit, cost and revenue at:

brainly.com/question/11384352

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