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An investment advisor currently has two types of investments available for clients: a conservative investment A that pays $6$ % per year and investment B of higher risk that pays $14$ %. Clients may divide their investments between the two to achieve any total return desired between $6$ % and $14$ %. However, the higher the desired return, the higher the risk. How should each client listed in the table invest to achieve the desired return?

	Client 1	Client 2	Client 3	$k$
Total Investment	$ $22000$	$ $45000$	$ $31000$	$k_1$
Annual Return Desired	$ $2040$	$ $3420$	$ $3140$	$k_2$

How much money should Client 1 invest in each account to achieved the desired return?

Amount in investment A:
Amount in investment B:

How much money should Client 2 invest in each account to achieved the desired return?

Amount in investment A:
Amount in investment B:

How much money should Client 3 invest in each account to achieved the desired return?

Amount in investment A:
Amount in investment B:

You can earn partial credit on this problem.