Use Simpson's Rule to approximate the revenue for the marginal revenue function with Assume that the number of units sold,x,increases from 13 to 18.Round your answer to two decimal places.
A) 1346.14
B) 1230.4
C) 678.36
D) 1602.42
E) 1439.03

Question

Use Simpson's Rule to approximate the revenue for the marginal revenue function  with  Assume that the number of units sold,x,increases from 13 to 18.Round your answer to two decimal places. ​
A) 1346.14 
B) 1230.4 
C) 678.36 
D) 1602.42 
E) 1439.03

Quizplus · Accepted Answer

Using Simpson's Rule, we have:

h = (18-13)/2 = 2.5

x0 = 13, x1 = 15, x2 = 18

f(x0) = 11ea8970_6a7b_76bb_861b_0399daa5461e_TB1301_11(13) = 308.75
f(x1) = 11ea8970_6a7b_76bb_861b_0399daa5461e_TB1301_11(15) = 365.25
f(x2) = 11ea8970_6a7b_76bb_861b_0399daa5461e_TB1301_11(18) = 466.5

Using Simpson's Rule formula:

I ≈ (h/3) [f(x0) + 4f(x1) + f(x2)]

I ≈ (2.5/3) [308.75 + 4(365.25) + 466.5] ≈ 1602.417

Therefore, the revenue for the marginal revenue function is approximately $1602.42. Answer choice D is the only one that matches this result.

Use Simpson's Rule to Approximate the Revenue for the Marginal