André is going to college, and his parents want to make sure he doesn't overspend his money. They want him to stick to a strict
1 answer:
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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) =
The profit is $14038