Answer: 
Step-by-step explanation:
Given
The unit cost is given by

find the derivative of the unit cost and equate it to zero to obtain the minimum value

Substitute 140 for
in the cost function, we get
![C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629](https://tex.z-dn.net/?f=C%28140%29%3D0.6%5B140%5D%5E2-168%28140%29%2B30%2C389%5C%5CC%28140%29%3D11%2C760-23%2C520%2B30%2C389%5C%5CC%28140%29%3D%5C%2418%2C629)
2x-6=0
2x-6+6=0+6
2x=6
2x/2=6/2
x = 3
Answer:
73
Step-by-step explanation:
= 8 + 3x^2 • 5 + 2 • (3+7)
= 8 + 9 • 5 + 2 • (3+7)
= 8 + 9 • 5 + 2 • 10
= 8 + 45 + 20
= 73
Answer:
y=.12x+20
Step-by-step explanation:
The flat rate for the ride is $20, so that will be added on no matter how far you go. The distance is actually extra information in this problem, as it doesn't actually ask for you to solve, so ignore the 50 miles from the airport. It is $0.12 per mile, meaning that actually does depend on the number of miles travelled, so it must be the x coefficient. This leaves you with y=.12x+20.
Answer:
-84i - 12i
Step-by-step explanation:
The distributive property is: a(b+c) = ab + ac
In this case, we have -6i(-14i+2)
-6i = a
-14i = b
2 = c
-6i(-14i+2) = -6i(-14i) + -6i(2)
= 84i^2 - 12i
= -84 - 12i