allisonlillian
16.04.2020 •
Mathematics
The price in dollars of a stereo system is given by p(q) = (1000/q2)+1000 where q represents the demand of the product.
a) Find the revenue function.
b) Find the marginal revenue function (derivative).
c) Find the marginal revenue when the demand is 10.
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Ответ:
a) r(q) = 1000(q +1/q)
b) r'(q) = 1000(1 -1/q^2)
c) r'(10) = 990
Step-by-step explanation:
a) Revenue is the product of quantity and price:
r(q) = q·p(q) = q(1000(1 +1/q^2))
r(q) = 1000(q + 1/q)
__
b) The derivative is ...
r'(q) = 1000(1 -1/q^2)
__
c) The derivative evaluated for q=10 is ...
r'(10) = 1000(1 -1/10^2) = 1000(0.99)
r'(10) = 990
Ответ:
z = 450 - 135
z + 135 = 450
Step-by-step explanation:
Han's house is 450 meters from school. Lin's house is 135 meters closer than Han's house from school. So,
450 - 135 = 315 <-- equation to look for
Lin's house is 315 meters from school.