# You have set aside 20 hours to work on two class projects. You want to maximize your grade (measured in

## Question:

You have set aside 20 hours to work on two class projects. You want to maximize your grade (measured in points), which depends on how you divide your time between the two projects.

(a) What is the objective function for this optimization problem and what are its units?

(b) What is the constraint?

(c) Suppose you solve the problem by the method of Lagrange multipliers. What are the units for λ?

(d) What is the practical meaning of the statement λ = 5?

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## Step by Step Answer:

**Related Book For**

## Applied Calculus

**ISBN:** 9781119275565

6th Edition

**Authors:** Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

**Question Details**

Chapter #

**8**Section: problem 8.6

Problem: 23

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