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2 years ago

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Yahoo has created a special unit called the "brickhouse," which is an idea incubator for employees to work on ideas submitted fr

om employees throughout the company. the purpose is to achieve innovation while bypassing the bureaucracy. this unit is a __________.

1 answer:

Temka [501]2 years ago

4 0

Hey there,
The answer to your question is <span>skunkworks.

Hope this helps :))

~Top
</span>

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A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by upper c equals 0.

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Answer:

The cost per month is increasing at a rate $365.

Explanation:

Differentiation Formula

$\frac{d}{dx}(x^n)= nx^{n-1}$
$\frac{d}{dx}(a)=0$ [ where a is a constant]
$\frac{d}{dx}(ax^n)=a \frac{d}{dx}(x^n)= anx^{n-1}$

Given that,

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by

$c=0.2x^2+10,000$ .

Again given that,

the rate of changing production is 13 unit per month

i.e $\frac{dx}{dt}=13$

To find the cost per month, we need to find out the value $\frac{dc}{dt}$ when production is changing at the rate 13 units per month and the production is 70 units.

$c=0.2x^2+10,000$

Differentiating with respect to t

$\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)$

$\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)$

$\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0$

$\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}$

Plugging $\frac{dx}{dt}=13$

$\Rightarrow \frac{dc}{dt}=0.4x\times 13$

$\Rightarrow \frac{dc}{dt}=5.2x$

$\frac{dc}{dt}|_{x=70}=5.2\times 70$ [ plugging x=70]

=364

[ The unit of c is not given. Assume that the unit of c is dollar.]

The cost per month is increasing at a rate $365.

4 0

3 years ago