If Messi Farms chooses to plant corn, the net return is $$50,000$ with good weather, $$30,000$ with average weather, and only $$6,500$ with poor weather. If Messi Farms chooses to plant sorghum, the net return is $$54,000$ with good weather, $$20,000$ with average weather, and $-$$$10,000$ with poor weather. If Messi Farms chooses to plant alfalfa, the net return is $$64,000$ with good weather, $$40,000$ with average weather, and $-$$$12,000$ with poor weather. Probability of good weather is $10$ percent, average weather is $70$ percent, and poor weather is $20$ percent.

$($a$)(5$ points$)$ What is the expected net return for corn? $[$Show your work!$]$

$($b$)(5$ points$)$ What is the expected net return for sorghum? $[$Show your work!$]$

$($c$)(5$ points$)$ What is the expected net return for alfalfa? $[$Show your work!$]$