Answer: (a) $197,500
(b) $ 189,500
Explanation:
Given : The marginal cost function : 
To find the cost function, we need to integrate the above function with respect to x.
Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-
![\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500](https://tex.z-dn.net/?f=%5Cint%5E%7B150%7D_%7B100%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B150%7D_%7B100%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B150%7D_%7B100%7D%5C%5C%5C%5C%3D%5B4000%28150%29-%5Cdfrac%7B0.4%28150%29%5E2%7D%7B2%7D-4000%28100%29%2B%5Cdfrac%7B0.4%28100%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B600000-4500-400000%2B2000%5D%5C%5C%5C%5C%3D197500)
Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500
Similarly, the additional cost incurred in dollars when production is increased from 500 units to 550 units :-
![\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500](https://tex.z-dn.net/?f=%5Cint%5E%7B550%7D_%7B500%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B550%7D_%7B500%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B550%7D_%7B500%7D%5C%5C%5C%5C%3D%5B4000%28550%29-%5Cdfrac%7B0.4%28550%29%5E2%7D%7B2%7D-4000%28500%29%2B%5Cdfrac%7B0.4%28500%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B2200000-60500-2000000%2B50000%5D%5C%5C%5C%5C%3D189%2C500)
Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500
Time value of money <span>it's best to have money today, so it can be put to work sooner to make even more money. When you have money now, you can invest and start building </span>interest on it. The quicker you have money, the quicker you start to grow your money and the sooner it can double, triple etc.
Answer:
Margin of safety=55.6%
Explanation:
The formula for the operating income is as folows;
operating income=Sales revenue-total cost
where;
operating income=$ 15,000
Sales revenue=S
total cost=variable cost+fixed cost
variable cost=70% of S=(70/100)×S=0.7 S
fixed cost=$12,000
replacing;
15,000=S-(0.7 S+12,000)
15,000+12,000=0.3 S
27,000=0.3 S
S=27,000/0.3
S=Answer:
Explanation:
The formula for the operating income is as follows;
operating income=Sales revenue-total cost
where;
operating income=$ 15,000
Sales revenue=S
total cost=variable cost+fixed cost
variable cost=70% of S=(70/100)×S=0.7 S
fixed cost=$12,000
replacing;
15,000=S-(0.7 S+12,000)
15,000+12,000=0.3 S
27,000=0.3 S
S=27,000/0.3
S=$90,000
Current sales=$90,000
The formula for margin of safety is as follows;
Margin of safety=(Current sales level-break even point sales level)/current sales levels
At break even,
Operating income=0
0=S-(0.7 S+12,000)
0=S-0.7 S-12,000
0.3 S=12,000
S=12,000/0.3
S=40,000
Break even sales=$40,000
replacing;
Margin of safety=((90,000-40,000)/90,000}×100
Margin of safety=55.6%
<h2><em>What "extras" can you include in a nontraditional resume that would not be included in a traditional resume?</em></h2>
- <em>The extra items that you can include in a web resume that would not be included in a traditional resume are graphics, buttons and pictures</em>
<em>hope </em><em>it</em><em> helps</em>
<em>#</em><em>c</em><em>a</em><em>r</em><em>r</em><em>y</em><em> </em><em>on</em><em> learning</em>
Answer:
First In, First Out (FIFO).
Explanation:
FIFO is an acronym for "First In, First Out" and it assumes oldest unit of inventory is sold first, meaning goods that were first added to inventory are the first goods removed from inventory for sale and are recorded as sold first.
FIFO can be defined as an accounting methods used in managing costs related to inventory, stock repurchases at different times and financial activities associated with monetary costs a company had tied up within inventory of feedstocks, raw materials, produced goods, and equipment parts.
Simply stated, FIFO is an accounting methods used for the valuation of the cost of goods sold and ending inventory of a company.
In a period of rising prices, the inventory method which tends to give the highest cost of goods sold value is First In, First Out (FIFO). This is because the more recent costs represent the higher (rising) net income and a higher (rising) inventory valuation costs.
