Question

The vertices of the feasible region represented by a system are (0, 100), (0, 80), (80, 60), (80, 0), and (120, 0). What are the minimum and maximum values of the objective function F = 8x + 5y? M

Answer 1

Answer:
Minimum; 400
Maximum; 960

☆

EDGE2022; Good Luck :D

Answer 2

`\boxed{\text{Min = 400; Max = 960}}`

Explanation:

F = 8x + 5y

At (0, 100): F = 8×0 + 5×100 = 0 + 500 = 500

At (0, 80): F = 8×0 + 5×80 = 0 + 400 = 400 — MINIMUM

At (80, 60): F = 8×80 + 5×60 = 640 + 300 = 940

At (80, 0): F = 8×80 + 5×0 = 640 + 0 = 640

At (120, 0): F = 8×120 + 5×0 = 960 + 0 = 960 — MAXIMUM

The minimum value is
`\boxed{ 400}`and the maximum value is
`\boxed{ \text{ 960}}`.