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.
Answer:
$686,000
Explanation:
net service revenue = gross revenue - discount for early payment
gross revenue = total sales price - trade discount
gross revenue = $800,000 - $100,000 = $700,000
net service revenue = $700,000 - 2%($700,000) = $700,000 - $14,000 = $686,000
Answer:
a. Considered sunk costs, not relevant in further decision making
Explanation:
the missing options are:
- a. Considered sunk costs, not relevant in further decision making
- b. Considered sunk costs, but still relevant in further decision making
- c. Considered a loss
- d. Considered a profit
After the investment in new technology has been made, it will be considered a sunk cost, because they are no longer relevant or important when considering or evaluating future investments and projects. Sunk costs are expenses that have already been made and incurred, and cannot be recouped.
Answer:
i think I will try maybe the answer is b