what-the-min-value-of-60x-120y-where-x-y-150-x-0-1-150-y-0-1-150-

Question Number 1151 by 123456 last updated on 05/Jul/15

what the \min value of

60 x + 120 y

where

x + y = 150

x \in {0, 1, \dots, 150}

y \in {0, 1, \dots, 150}

Answered by prakash jain last updated on 05/Jul/15

y = 150 - x

60 x + 120 \times (150 - x)

= 120 \times 150 - 60 x

\min value at x = 150

= 18000 - 9000 = 9000