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Home » Feasible region (shaded) for a LPP is shown in Fig. 12.8. Maximize     .
Feasible region (shaded) for a LPP is shown in Fig. 12.8. Maximize

    \[\mathbf{Z}\text{ }=\text{ }\mathbf{5}x~+\text{ }\mathbf{7}y\]

.
CBSE | Class 12 | Exercise 1 | Linear Programming | Maths | NCERT Exemplar
Feasible region (shaded) for a LPP is shown in Fig. 12.8. Maximize

    \[\mathbf{Z}\text{ }=\text{ }\mathbf{5}x~+\text{ }\mathbf{7}y\]

.

According to the question:

    \[\mathbf{Z}\text{ }=\text{ }\mathbf{5}x~+\text{ }\mathbf{7}y\]

and feasible region OABC.

The corner points of the feasible region are

    \[O\left( 0,\text{ }0 \right),\text{ }A\left( 7,\text{ }0 \right),\text{ }B\left( 3,\text{ }4 \right)\text{ }and\text{ }C\left( 0,\text{ }2 \right)\]

.

On evaluating the value of Z, we get

From the above table it’s seen that the maximum value of Z is

    \[43\]

.

Therefore, the maximum value of the function Z is

    \[43\]

at

    \[(3,4)\]

.

i

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