math
The cost of producing q articles is given by the function C=f(q)=100+2q.
(A) Find the formula for the inverse function.
(B) Explain in practical terms what the inverse function tells you.
I am pretty sure the answer to A is f^1(C)=C/250
For B, the inverse of the function is the interchange of the dependent and indepent variable.
asked by
Hamilton

C = 100 + 2q
q = (100C)/2 = 50  C/2
The inverse function is
f^1 (C) = 50  (C/2)
f^1 is the function that gives you the number of items you can produce when you input the price, Cposted by drwls
Respond to this Question
Similar Questions

Algebra
Dan works at a hardware store. The employee discount is determined by the formula d = 0.15 (c − 10 ). Use the inverse of this function to find the cost of the item for which Dan received an $18.00 discount. a. Find the 
Math
The cost (in dollars) of producing x air conditioners is C=g(x)=560+40x. Find a formula for the inverse function g−1(C). 
Maths;function i need help
(1):Given the cost function c(x)=10+2x and the revenue functio r(x)=3x,find break even quantity and the price (2):if the marginal cost of producing x unit is given by c'(x)=0.4x^3+2x and the fixed cost is p4000.00 find the cost 
Basic math for science
A sportswear manufacture determines that the marginal cost of producing x wormup suits is given in dollars by 200.015x.if the cost of producing one suits is $25,find the cost function and the cost of producing 50 suits and 100 
Calculus Help
The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse 
pre calculus
Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^x + 5 Just looking 
College Algebra
Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. 
precalculus
Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. 
Math
Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the 
Algebra
Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the