Determine the minimum value of the objective function, c.

c = 3x + 2y

x+y≥4
x> 0
y> 0

enter your answer

c=

c = 8

Step-by-step explanation:

The points (x,y) satisfying the constraint x + y ≥ 4 the set of all the points to the right of the line x + y = 4. Now since, minimum or maximum occurs only on the edges we consider the points (0,4) and (4,0).

These would also represent the minimum points as this system is unbounded.

The given subjective function is: c = 3x + 2y

Substituting (0,4) and (4,0) we get:

At (4,0) = 3(4) + 2(0) = 12

At (0,4) = 3(0) + 2(4) = 8

Clearly, at (0,4) we have the minimum value and the minimum value is 8.

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10