A fixed cost of $50 thousand was incurred in setting up an operation. At time t months thereafter, the operation yields income at the rate of (20 - 0.3t) and incurs expense at the rate of (10 - 0.1t), where both rates are in thousands of dollars per month. What is the optimal time to terminate the operation? What will total profit be at the optimal time of termination?

A fixed cost of $50 thousand was incurred in setting up an operation. At time t months thereafter, the operation yields income at the rate of (20 - 0.3t) and incurs expense at the rate of (10 - 0.1t), where both rates are in thousands of dollars per month. What is the optimal time to terminate the operation? What will total profit be at the optimal time of termination?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 21T: A manufacturer produces two models of television stands. The table at the left shows the times (in...

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