Suppose you are designed a new computer and want to make sure it is optimal for your needs. Random Access Memory can be added to your computer at a cost of $100 per gigabyte. For you the benefit of the first gigabyte of RAM is $800, and the benefit decreases by 50 percent for each additional gigabyte (the second gigabyte has a value of $400, etc.).
What is the optimal amount of memory for you to purchase in your new computer?