Question

The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.05x2 − 7x + 300

The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:


x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58


Based on the given information, determine which company has a lower minimum and find the minimum value.
f(x) at (1, 899.50)
g(x) at (70, 55)
f(x) at (70, 55)
g(x) at (1, 899.50)

Answer 1

f(x) at (70, 55)

Explanation:

I got it right on the test

Answer 2

9514 1404 933

Answer:

(c) f(x) at (70, 55)

Explanation:

The point (70, 55) is not on g(x), which increases from a minimum of 899.5. Obviously, 55 is less than 899.5, so f(x) at (70, 55) has a lower minimum.