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
The release of earnings announcements and economic indicators are similar because c) both are estimated in advance by analysts.
<h3>Why are earnings announcements analyzed?</h3>
Earnings announcements help determine the value of a company and so they are analysed to help people decide if they can invest and make a capital gain.
Economic indicators are also analyzed with the goal being to predict where the economy is going and what to do about it.
The full question and options are:
What does the release of earnings announcements have in common with the release of economic indicators?
a) Both are typically released on a quarterly basis.
b) both are typically published by corporations
c) both are estimated in advance by analysts
Find out more on economic indicators at brainly.com/question/903754.
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Answer:
It will increase price for consumers, as well as cost for airlines (due to increased demand & supply)
Explanation:
Markets are at equilibrium when market demand = market supply.
If federal government imposes more safety measures on airlines & consumers. Cost for airlines rise due to increased security expenditures, so supply decreases (shifts leftwards). Customers might feel safer amidst more personal & organisational security measures, so demand increases (shifts rightwards).
Both these factors lead to increase price for consumers, as well as cost for airlines
The best answer to fill in the blank would be A).
Answer: we can conclude Chuy plans to save $55 a week
Explanation: