Answer:
$14038
Explanation:
The company has marginal revenue R'(t) = 
. Therefore its revenue R(t) is given as;
R(t) = ∫R'(t)
R(t)= ∫ dt = + c
R(t) = + c
But R(0) = 0, therefore:
R(0) = 
+ c = 0
+ c = 0
100 + c =0
c = -100
Also the marginal cost per day is given by C'(t) = 140 - 0.3t
C'(t) = 140 - 0.3t
C(t) = ∫C(t) = ∫ (140 - 0.3t) dt = 140t - (0.3/2) t² + C
But C(0) = 0
C(0) = 140 (0) - (0.3/2)(0)² + c = 0
c = 0
C(0) = 140t - (0.3/2) t²
Profit P(t) = R(T) - C(T) , hence the total profit from t = 0 to t = 5 is given as:
P(t) = ![\int\limits^0_5 {[R'(t)-C'(t)]} \, dt =\int\limits^0_5 {([100e^t-(140-0.3t)]} \, dt=\int\limits^0_5 {100e^t} \, dt +\int\limits^0_5 {-0.3t} \, dt +\int\limits^0_5 {-140} \, dt \\\\=[100e^t]_0^5+[ -140t]_0^5+[-0.3t^2/2]_0^5=[14841.316-100]+[-700]+[-3.75]=14038](https://tex.z-dn.net/?f=%5Cint%5Climits%5E0_5%20%7B%5BR%27%28t%29-C%27%28t%29%5D%7D%20%5C%2C%20dt%20%3D%5Cint%5Climits%5E0_5%20%7B%28%5B100e%5Et-%28140-0.3t%29%5D%7D%20%5C%2C%20dt%3D%5Cint%5Climits%5E0_5%20%7B100e%5Et%7D%20%5C%2C%20dt%20%20%2B%5Cint%5Climits%5E0_5%20%7B-0.3t%7D%20%5C%2C%20dt%20%20%2B%5Cint%5Climits%5E0_5%20%7B-140%7D%20%5C%2C%20dt%20%20%5C%5C%5C%5C%3D%5B100e%5Et%5D_0%5E5%2B%5B%20-140t%5D_0%5E5%2B%5B-0.3t%5E2%2F2%5D_0%5E5%3D%5B14841.316-100%5D%2B%5B-700%5D%2B%5B-3.75%5D%3D14038)
The profit is $14038
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Answer:
A failure of the financial sector.
Explanation:
Financial sector indicates all banks and non-banking institutions. These sectors are the source of money supply in an economy. If this sector fails to do such work, the economy might face severe money crisis and the effect would be immediate. An example of it is 2007-08 depression in the US economy.
Answer:
Also known as the profit and loss statement or the statement of revenue and expense, the income statement primarily focuses on the company's revenues and expenses during a particular period.
This is basically known as net profit. because he purcahes it of 100 $ and sale it of 120 and earn a complete 20$ profit. mostly that happens in retailer cases . best example is shop keeper because they are not manufacturing it <span />
