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Find the minimum value of
C = x + 3y
subject to the following constraints:
(9x + 2y > 35
x + 3y > 14
X>0
y20
C = [?]


Sagot :

The minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have:

C = x + 3y

Subject to constraints:

9x + 2y > 35

x + 3y ≥ 14

X ≥ 0

y ≥  0

As we can see in the inequality:

x + 3y ≥ 14

Compare with x + 3y = C

The minimum value of x + 3y is 14

Thus, the minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.

Learn more about the inequality here:

brainly.com/question/19491153

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