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nalin [4]
3 years ago
10

Shark Inc. has determined that demand for its newest netbook model is given by lnq−3lnp+0.004p=7ln⁡q−3ln⁡p+0.004p=7, where q is

the number of netbooks Shark can sell at a price of pp dollars per unit. Shark has determined that this model is valid for prices p≥100p≥100. You may find it useful in this problem to know that elasticity of demand is determined to be E(p)=dqdppqE(p)=dqdppq
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0
  <span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q: 

(1/q)(dq/dp) − 3/p + 0.003 = 0 
dq/dp = (3/p − 0.003)q. 

So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p. 

b) The revenue is pq. 
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1: 

3 − 0.003p = −1 
0.003p = 4 
p = 4/0.003 = 4000/3 = 1333.33</span>
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Answer:

114°

Step-by-step explanation:

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Naily [24]

Answer:x=90° y=58° z=32°

Step-by-step explanation:

x=90

y=180-(90+32) sum of angles in a triangle is 180

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58+90+z=180

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Step-by-step explanation:

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Step-by-step explanation:

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(2, 7) and (-6, -2) find the distance between each pair of points
yaroslaw [1]

Answer:

\sqrt{145}

Step-by-step explanation:

Hi there!

We are given the points (2, 7) and (-6, -2). We want to find the distance between them. To do that, we can use the distance formula

The distance formula is given as \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, where (x_1, y_1) and (x_2, y_2) are points

We have 2 points, which is what we need to find the distance, but let's label their values to avoid any confusion

x_1=2\\y_1=7\\x_2=-6\\y_2=-2

Now substitute those values into the formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\sqrt{(-6-2)^2+(-2-7)^2}

Simplify the values under the radical:

\sqrt{(-8)^2+(-9)^2}

Raise to the second power:

\sqrt{64+81}

Add the numbers under the radical together

\sqrt{145}

The answer can be left as that, as the radical cannot be simplified.

Hope this helps!

7 0
2 years ago
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