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3 years ago

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Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 1960 − 70 p where n is the number

of fans that can be sold per month at a price p . Find the selling price that will maximize the revenue.

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

$14

Step-by-step explanation:

The revenue from sales of fans is the product of the number of fans sold and the price at which they are sold:

R(p) = n·p = (1960-70p)p

R(p) = 70(28 -p)p

This equation describes a parabola that opens downward and has zeros at p=0 and p=28. The axis of symmetry is halfway between those zeros, at p=14. It goes through the vertex or point of maximum revenue.

The price for maximum revenue is p = 14 dollars.

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Read 2 more answers

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 12

MariettaO [177]

Answer:

$\angle 2 =60$

$\angle 3 = 60$

$\angle 4 = 120$

$\angle 5 = 120$

$\angle 6 = 60$

$\angle 7 = 60$

$\angle 8 = 120$

Step-by-step explanation:

Given

$\angle 1 = 120^\circ$

See attachment

Required

Determine the other angles

$\angle 1$ and $\angle 2$ are on a straight line.

So;

$\angle 1 + \angle 2 =180$

Make $\angle 2$ the subject

$\angle 2 =180 - \angle 1$

$\angle 2 =180 - 120$

$\angle 2 =60$

$\angle 1$ , $\angle 4$ , $\angle 5$ and $\angle 8$ are corresponding angles.

So;

$\angle 4 =\angle 1 = 120$

$\angle 5 =\angle 1 = 120$

$\angle 8 =\angle 1 = 120$

Similarly; $\angle 2$ , $\angle 3$ , $\angle 6$ and $\angle 7$ are corresponding angles.

So;

$\angle 3 =\angle 2 = 60$

$\angle 6 =\angle 2 = 60$

$\angle 7 =\angle 2 = 60$

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Answer:

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Step-by-step explanation:

$c=\sqrt{a^2+b^2}$

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$17=\sqrt{8^2+15^2}$

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