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min profit = 5
Cost= (1/4)*5 + (1/20)*3=1.4$
Set up profit equation --> P*Q - C*Q = Profit
2Q - 1.4Q = 5
Q(0.6)=5
Q= 5/(3/5) = 8.3 units required to make at least 5$ profit.
Thus, I, II, III are correct.
Go for (E)
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Solution:

CP per lemonade glass = cost of 5 lemons + cost of 3 tablespoons of sugar \(= 5\times 0.25 + 3\times 0.05 = $1.4\)

SP per lemonade glass \(= $2\)

Therefore, profit per lemonade glass \(= SP - CP = 2 - 1.4 = $0.6\)

If we assume that Pierre sells \(x\) number of glasses each day, we can form an inequality \(0.6x>5\)
\(⇒x>\frac{5}{0.6}\)
\(⇒x>8.33\)

Thus, the value of \(x\) can be 9, 10 and 11

Hence the right answer is Option E
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