KCET 2020 Math Solved Paper

Question : 25 of 60

Marks: +1, -0

5. Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let 𝑧 = 𝑝𝑥 + 𝑞𝑦, where 𝑝, 𝑞 > 0. Condition on 𝑝 and 𝑞 so that the minimum of 𝑧 occurs at (3, 0) and (1, 1) is