Question

Given M = 3x + 2y where:

the sum of x and y is at least 7.
·x is at least 1; and y is at least 2.


What is the smallest possible value of M?

Answer 1

Answer:

least value of M is 16

Step-by-step explanation:

if we think,

x+y=7

so, probable value of x and y is (2,3,4,5) [ for both ]

then we can see if,

x=2 and y=5

M= 3×2+2×5=16

again, if

x=3 and y=4

M= 3×3+2×4=17

again if,

x=4 and y=3

M= 3× 4+2×3=18

again if,

x=5 and y=2

M= 3×5+2×2=19

So, the least value of M is 16 where x=2 and y=5