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
The journal entry for the sale would include a credit to sales tax payable for $156 if the selling price of the merchandise is $2600.
The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the retailer, and paid to the government. Companies must first apply for a sales tax permit from their state's department of taxation in order to be able to collect sales tax from customers. Every time a customer makes a purchase, businesses collect sales tax, which they subsequently monthly or quarterly send to the state.
As the selling price of the merchandise is $2,600 and the state sales tax is 6%, this means that 6% of $2,600 has to be paid to the state governing body.
Sales tax = 6% of 2600
Sales tax = 6/100 × 2600
Sales tax = 0.06 × 2600
Sales tax = $156
Therefore; the entry to journalize the sale would include a credit to sales tax payable for $156 if the selling price of the merchandise is $2600.
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Simple returns focus on accounting for net operating income, not cash flow. The simple method of revenue focuses on cash flow rather than accounting for net operating income.
A simple rate of return is calculated by subtracting the initial value of the investment from the current value and dividing it by the initial value. To output as%, multiply the result by 100.
Under the simple rate of return method, a dollar you receive 10 years later is considered to be worth the $ 1 you receive today. Therefore, the simple yield method can be misleading if the alternative cash flow patterns under consideration are different.
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<em>Your question is incomplete. please read below to find the full content.</em>
The Simple Rate Of Return Focuses On Accounting Net Operating Income Rather Than On Cash Flows.
A) TRUE
B) FALSE
Answer:
Unamortized discount is $43,700
Explanation:
Unamortized bond discount=original bond discount-amortization to date
original bond discount is $46,000
Amortization =interest payable-interest expense
interest payable=$400,000*10%*6/12
=$20,000
Interest expense=$354,000*10%*6/12
=$17,700
amortization of discount=$20,000-$17,700
=$2300
unamorized bond discount=$46000-$2300
=$43,700
The unamorized bond discount at the end of the first six months is $43,700
