Answer:
x = 4
139.2
Step-by-step explanation:
Given the Cost function :
C(x) = 1.7x² - 13.6x + 166.4
To achieve minimum cost ;
dc/dx = 0
dc/dx = 2(1.7)x - 13.6
3.4x - 13.6 = 0
3.4x = 13.6
x = 13.6 / 3.4
x = 4
To achieve minimum cost, speed = 4 ;
Minimum cost will be :
C(x) = 1.7x² - 13.6x + 166.4
Put x = 4
C(4) = 1.7(4)² - 13.6(4) + 166.4
C(4) = 27.2 - 54.4 + 166.4 = 139.2
Minimum cost = 139.2
