The maximum value of z=5 x+2 y subject to constraints x+y ≤ 7, x+2...

The maximum value of

z=5 x+2 y

subject to constraints

x+y \leq 7, x+2 y \leq 10, x, y \geq 0

Options

Correct answer

C. 35

Step-by-step solution

Change the inequalities into equations and draw the graph of lines, thus we get the required feasible region as shown below.
The maximum value of z=5 x+2 y subject to constraints x+y ≤ 7, x+2 y ≤ 10, x, y ≥ 0

The region bounded by the vertices

A(0,5), B(4,3), C(7,0)

The objective function is maximum at

\mathrm{C}(7,0)

and

\operatorname{Max} z=5 \times 7+2 \times 0=35

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