Question 3 [125 points] NDE wishes to develop several new Internet-based math courses. The tasks involved in developing the courses can be divided naturally into three groups: development, management, and production. Each task is assigned to a different department, and each department depends on the other departments to do its work. For accounting purposes, each department pays the other departments for the support it receives. Tasks related to content development require 70% of the development department's output, 30% of the management department's output, and 20% of the production department's output. Tasks related to project management require 20% of the development department's output, 40% of the management department's output, and 20% of the production department's output. Tasks related to production require 10% of the development department's output, 30% of the management department's output, and 60% of the production department's output NDE has budgeted $200,000 to develop the courses. You have been asked to determine the following: How much money should be assigned to the development department's budget? How much to the management department's budget? How much to the production department's budget