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
Answer: level of involvement
Explanation:
It should be noted that when people want to purchase a product, they usually look for information themselves or probably seek informations from those close to them such as friends and family.
It should be noted that a consumer will use one of three general problem-solving variations, extended, limited, or routine, based on product knowledge and level of involvement.
Answer:
O Concert tickets
Explanation:
Elastic demand is the demand that is highly responsive to changes in prices. A small change in price causes the demand to change by a big proposition. When the demand is elastic, the change in demand is not propositional to changes in price.
Non-essential goods tend to have elastic goods. These are the goods that consumers can survive without. Demand for non-essential tends to decrease or increase in a big proposition when prices rise or fall by a small margin. From the list provided, concert tickets are non essential goods.
The number of shares purchased = 30 shares
Annual dividend per share = $ 0.42
Total annual dividends = Number of shares purchased × Annual dividend per share
Total annual dividends = 30 shares × $ 0.42 = $ 12.60
Thus, the total annual dividends = $ 12.60
A helmet? Idk if that’s right but I tried.