(10 Marks) Developing a new electronics product involves two activities that can be carried out independently: software development and hardware development. These activities would normally take 18 weeks and 20 weeks respectively, and the product development project is complete when both have been completed. If software development can be sped up at a cost of $1 million per week, and hardware development can be sped up at a cost of $2 million per week, what is the cost of reducing the project completion time to a) 19 weeks and b) 17 weeks