Black and Shannon have decided to form a partnership. They have agreed that Black is to invest $$225,000$ and that Shannon is to invest $$75,000.$ Black is to devote one$-$half time to the business, and Shannon

is to devote full time. The following plans for the division of income are being considered:

a$.$ Equal division.

b$.$ In the ratio of original investments.

c$.$ In the ratio of time devoted to the business.

d$.$ Interest of $6\%$ on original investments and the remainder equally.

e$.$ Interest of $6\%$ on original investments, salary allowances of $$40,000$ to Black and $$85,000$ to Shannon, and the remainder equally.

f$.$ Plan $($e$),$ except that Shannon is also to be allowed a bonus equal to $20\%$ of the amount by which net income exceeds the total salary allowances.

Required:

For each plan, determine the division of the net income under each of the following assumptions: $(1)$ net income of $$151,000$ and $(2)$ net income of $$245,000.$ Round answers to the nearest whole dollar.