Question

The value of R.P. Mugs can be represented by the equation below, where x is the number of months after January 2001 and V is the value. If we wanted to find the minimum value V(x) will reach, what key feature would we be finding? DO NOT SOLVE

v(x)=x^2-6x+13

Answer 1

The minimum value of V(x) = 4

Explanation:

Step(i) :-

Given equation V(x) = x² - 6 x + 13 ...(i)

Differentiating equation (i) with respective to 'x' , we get

V¹ (x) = 2 x - 6 ...(ii)

2 x - 6 =0

2 x = 6

x = 3

Step(ii):-

Again Differentiating with respective to 'x' , we get

V¹¹(x) = 2 > 0

v(x)=x^2-6x+13

put x =3

The minimum value of V(x) = 9 - 18+13 = 4