SOLUTION: Given the total cost function C(x) = 7000 + 2x a) what is the form of the function b) state its domain

Question 499221: Given the total cost function C(x) = 7000 + 2x
a) what is the form of the function
b) state its domain
Found 2 solutions by oberobic, nerdybill:
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
C(x) = 2*x + 7000
.
This is a linear equation.
The domain of x all real numbers.
However, it is not sensible to have negative production.
So, x is all real numbers >= 0.
If x is discrete (that is, you cannot produce a fraction of a unit),
x is all integers >= 0.
.
In cost accounting, you would say the variable cost per unit of x is $2 and the fixed costs are $7000.
If you produce zero units, you still face $7000 in costs (a fixed amount = constant).
.
Done
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
a) what is the form of the function
The "form" is in "slope-intercept" form:
y = mx + b
which is a line
b) state its domain
"All positive whole numbers"

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