Question

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.

Answer 1

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