Question

Help please, medal and fan :) Can someone help out a bit?

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

f(x) = 0.15x^2 - 6x + 400

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


x | g(x)
50 | 75
60 | 60
70 | 55
80 | 60
90 | 75


The minimum production cost for company _____ is greater.
[Put 1 or 2 in the blank space]

Answer 1

@amistre64 @hartnn can you guys help?

Answer 2

@ganeshie8 @Hero help please?

Answer 3

you're given two functions,
and asked to tell which one has minimum value...


where are u stuck exactly ?

Answer 4

I'm stuck on how to find the minimum value of the first function, since its not in a table @ganeshie8

Answer 5

okay, u figured out the minimum value for table already ?

Answer 6

For the first function, use below :
minimum/maximum value for a quadratic function = \(\large f\left(-\dfrac{b}{2a}\right)\)

Answer 7

find out -b/2a, and evaluate the function at this value

Answer 8

Ok, so the minimum value for the first function would be 20? And the minimum value for the table is 55, correct? @ganeshie8

Answer 9

f(x) = 0.15x^2 - 6x + 400

minimum value occurs at x = 20,
to find the minimum value, plugin x=20 above and evaluate

Answer 10

f(x) = 0.15x^2 - 6x + 400

f(20) = ?

Answer 11

I got..340? I'm not sure if that sounds correct.

Answer 12

@ganeshie8

Answer 13

Excellent !! 340 is the minimum value for first function

Answer 14

So, Company 1 has a greater minimum? @ganeshie8

Answer 15

Also, can you help with one more question?

Answer 16

Correct !

Answer 17

sure, close this ad post a new ... il be back in 10 mnts...

Answer 18

Okay, thank you!

Answer 19

@ganeshie8