CBSE 2025 · Region 7 · Set 1 · Q30 · 3 marks
In the Linear Programming Problem for objective function $\displaystyle \mathrm{Z}=18 \mathrm{x}+10 \mathrm{y}$ subject to constraints \[\begin{aligned} & 4 \mathrm{x}+\mathrm{y} \geq 20 \\ & 2 \mathrm{x}+3 \mathrm{y} \geq 30 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \] find the minimum value of $\displaystyle \mathrm{Z}$.
Marking-scheme solution
| Corner points | Value of $\displaystyle Z = 18x + 10y$ |
| A $\displaystyle (0, 20)$ | $\displaystyle 200$ |
| B $\displaystyle (3, 8)$ | $\displaystyle 134$ |
| C $\displaystyle (15, 0)$ | $\displaystyle 270$ |
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