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
Answer:
The amount of the tax on a bottle of wine is $5 per bottle. Of this amount, the burden that falls on consumers is $3 per bottle, and the burden that falls on producers is $2 per bottle. True or False: The effect of the tax on the quantity sold would have been larger if the tax had been levied on producers.
Explanation:
The amount of the tax on a bottle of wine is $5 ($3 + $2).
The burden on consumers is $3 ($9 - $6), which is the difference between the after-tax purchase price and the before-tax purchase price for consumers. This implies that the burden passed to consumers is $3 out of the total tax burden of $5.
The burden on producers is $2 ($6 - $4) which represents the difference between before-tax selling price and the after-tax selling price for the producers. This means that the burden passed to producers is $2 out of the total tax burden of $5.
If the tax burden were passed to the producers alone, the selling price would have been more than $11 ($6 + 5). This would have reduced demand for wine as consumers would have been forced to bear the total burden. This would have made the tax unequitable. This would have been the case unless demand is inelastic. That means that the total demanded is not sensitive to price increases.
Answer:
Annual withdrawal= $57,032.02
Explanation:
Giving the following information:
Initial investment (PV)= $450,846
Interest rate (i)= 12.65%
<u>To calculate the annual withdrawal, we need to use the following formula:</u>
PV= Cf / i
Cf= annual cash flow
450,846= Cf / 0.1265
450,846*0.1265 = Cf
Cf= $57,032.02
As prepaid rent is used, the asset becomes a liability.
Liability because it becomes the responsibility of someone who uses the prepaid. Since the prepaid rent was used, it needs money to be able to pay them. It becomes the responsibility for someone to be able to use his money to pay the prepaid rent that was used.
Answer:
finished cost = $200,000
inventory cost=$250,000
manufactured cost= $600,000
cost of good= beginning inventory+purchase during period cost- ending inventory
$600,000+$200,000-$250,000
$550,000
