brsmith0307
contestada

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.

Respuesta :

mhanifa

Answer:

  • Minimum 100 bicycles
  • Minimum cost is 13500

Step-by-step explanation:

Given function:

  • C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

Vertex of the given function is:

  • x = -(-600)/(2*3) = 100

b.

Cost at vertex is:

  • C(100) = 3*100^2 - 600*100 + 43500 = 13500

Otras preguntas