Answer:
The cost per month is increasing at a rate $365.
Explanation:
Differentiation Formula
Given that,
A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by
.
Again given that,
the rate of changing production is 13 unit per month
i.e ![\frac{dx}{dt}=13](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D13)
To find the cost per month, we need to find out the value
when production is changing at the rate 13 units per month and the production is 70 units.
![c=0.2x^2+10,000](https://tex.z-dn.net/?f=c%3D0.2x%5E2%2B10%2C000)
Differentiating with respect to t
![\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%28c%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%280.2x%5E2%29%2B%5Cfrac%7Bd%7D%7Bdx%7D%2810%2C000%29)
![\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D0.2%5Cfrac%7Bd%7D%7Bdt%7D%28x%5E2%29%2B%5Cfrac%7Bd%7D%7Bdx%7D%2810%2C000%29)
![\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D0.2%5Ctimes%202x%5E%7B2-1%7D%5Cfrac%7Bdx%7D%7Bdt%7D%2B0)
![\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D0.4x%5Cfrac%7Bdx%7D%7Bdt%7D)
Plugging ![\frac{dx}{dt}=13](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D13)
![\Rightarrow \frac{dc}{dt}=0.4x\times 13](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D0.4x%5Ctimes%2013)
![\Rightarrow \frac{dc}{dt}=5.2x](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7Bdc%7D%7Bdt%7D%3D5.2x)
[ 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.
Government to invest in technology and education, and to provide goods and services for the benefit of the American people. The government affect the business cycle Use of fiscal policy increased government spending and/or tax cuts is the most common way of boosting aggregate demand, causing an economic expansion.
Answer:
$227,500
Explanation:
The computation of the total amount of cash paid is shown below:
Cash paid for insurance premium = Prepaid Insurance at end of the year + Prepaid Insurance recognized - Prepaid Insurance at the beginning of the year
= $61,250 + $218,750 - $52,500
= $227,500
We simply applied the above formula so that the correct amount of cash paid could come with respect to the insurance premium
The right answer for the question that is being asked and shown above is that: "B. Has large reserves of cheap labor and can produce inexpensive goods." <span>U. S. Companies have made fewer manufacturing tracks with China in the last few years preferring other countries in the region. </span>