A recent budget for the California State University system projected a fixed cost of $486,000 at each of five off-campus centers, plus a marginal cost of $1140 per student.  (a) Find a formula for the cost at each center, C(x), as a linear function of x, the number of students. (b) The budget projected 500 students at each center. Calculate the total cost at each center.(c) Suppose, due to budget cuts, that each center is limited to $1 million. What is the maximum number of students that each center can then support?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Related questions
Topic Video
Question

A recent budget for the California State University system projected a fixed cost of $486,000 at each of five off-campus centers, plus a marginal cost of $1140 per student. 

(a) Find a formula for the cost at each center, C(x), as a linear function of x, the number of students.
(b) The budget projected 500 students at each center. Calculate the total cost at each center.
(c) Suppose, due to budget cuts, that each center is limited to $1 million. What is the maximum number of students that each center can then support?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning