Suppose that you are given $$20,000$ to split between two people, Jane and Fred. The income and marginal utility for each of them is shown in the following table.

$\backslash$table$[[$Amount to Jane,Amount to Fred,$\backslash$table$[[$MU of Jane's Last$],[$Dollar Spent$]],\backslash$table$[[$MU of Fred's Last$],[$Dollar Spent$]]],[$$$5,000,$$$15,000,80,65],[$$$7,000,$$$13,000,70,70],[$$$9,000,$$$11,000,60,75],[$$$11,000,$$$9,000,50,80],[$$$13,000,$$$7,000,40,85]]$

Instructions: Enter your answers as a whole number.

If you want to maximize their combined utility, how much of the $$20,000$ should go to Jane? How much should go to Fred?

Amount to Jane $=$ $ $$

Amount to Fred $=$ $ $$