You have a new product that you want to bring to market, so you are looking for investors. Mark Zuckerberg offers to fund your company for 20% of your total revenue. Jeff Bezos offers to do it for 30% of all revenue up to 5 million dollars, but only 10% of any revenue over 5 million. Let f₁(t) be amount of money you would pay Zuckerberg on t dollars in revenue. Let f₂ (t) be amount of money you would pay Bezos.

a.) Fill in the table using millions of dollars (so you would write $100,000 as 0.1 million.).

Revenue, t	0	1	2	3	4	5	6	7	8
Zuckerberg, f1	0
Bezos	0

b.) Find a formula for f₁(t)

c.) Find a piecewise formula for f₂(t)

d.) How much revenue must you make for Bezos option to become better for you?