Connect Problem CP $23-07($algo$)$

Suppose that you are given $$50,000$ 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 $\text{'}$s Last$],[$Dollar Spent$]]],[$$$5,000,$$$45,000,$$$115,$$$85$