Attached are three calculus problems. Please show all step by step work.1
. If the total revenue received from the sale of x items is given by-
R(x) = 30 ln(2x+1)
While the total cost to produce x items is C(x) = x/2, find the following:
(A) The marginal revenue
(B) The profit function P(x)
(C) The marginal profit when x = 60
(D) Interpret the results of part (c)
**On part "C", be sure to find the marginal profit function before citing what the marginal profit at
x = 60 is.
**On part "D", write a complete sentence answer that tells the meaning of the number found in
(C).
2
. An epidemic is growing in a region according to the rate
N’(t) = 100t/t^2+2
Where N(t) is the number of people infected after t days.
(a) Find a formula for the number of people infected after t days, given that 37 people were
infected at t = 0.
(b) Use your answer from part (a) to find the number of people infected after 21 days.
This question was answered on: May 23, 2022
Solution~00021147720943.zip (25.37 KB)
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