1)"TC=20+(1\/2)*(230-(1\/2)P)^2=20+(1\/2)*(52,900-230P+P^2\/4)=20+26,450-115P+P^2\/8=26,470-115P+P^2\/8"
"Profit=P*Q-TC"
"P(230-(1\/2)P)-26,470+115P-P^2\/8=0"
"345P-(5\/8)P^2-26,470=0"
"P^*(maxProfit)=-\\frac{345}{-2*(5\/8)}=276"
2) "q=30"
"TC=20+(1\/2)*30=35"
"Q^*=\\frac{35-20}{0.2}=75"
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