A manufacturer of lighting has a daily production of costs of:
. . .C(x) = 800 - 10x + 0.25^2
...where "C" is the total production cost for "x" units produced.
a) How many fixtures should be produced each day to yield a minimum cost?
b) What is the minimum cost?
For part (a), I used the formula "h = -b/(2a)" to find the vertex:
. . .h = -(-10)/(2(0.25)) = 10/0.5 = 20
So the production should be 20 units.
To find the minimum cost for part (b), I plugged in 20 for every x in the equation, and I got $700 for the minimum cost.
Are these answers correct? Thank you!
. . .C(x) = 800 - 10x + 0.25^2
...where "C" is the total production cost for "x" units produced.
a) How many fixtures should be produced each day to yield a minimum cost?
b) What is the minimum cost?
For part (a), I used the formula "h = -b/(2a)" to find the vertex:
. . .h = -(-10)/(2(0.25)) = 10/0.5 = 20
So the production should be 20 units.
To find the minimum cost for part (b), I plugged in 20 for every x in the equation, and I got $700 for the minimum cost.
Are these answers correct? Thank you!