SOLUTION: A company is considering building a manufacturing plant. They determine the weekly production cost at site A to be 𝐴(𝑥) = 3𝑥^2 while the production cos

Algebra ->  Functions -> SOLUTION: A company is considering building a manufacturing plant. They determine the weekly production cost at site A to be 𝐴(𝑥) = 3𝑥^2 while the production cos      Log On


   



Question 1051756: A company is considering building a
manufacturing plant. They determine the
weekly production cost at site A to be
𝐴(𝑥) = 3𝑥^2
while the production cost at site
B is 𝐵(𝑥) = 8𝑥 + 3, where x represents the
number of products, in hundreds, and A(x)
and B(x) are the production costs, in
hundreds of dollars. If the company plans
on manufacturing 200 products per week,
which site should they use? Justify your
answer.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The cost at A is 3*2^2=12
The cost at B is 8(2)=19
A is cheaper. Note, it is squaring 2, not 200, since the product number is 200 and the definition is hundreds. The curved line is A and the straight line is B. The number in hundreds is on the x-axis and the cost on the y-axis.
graph%28300%2C300%2C-2%2C8%2C-2%2C40%2C3x%5E2%2C8x%2B3%29