Question

Can someone help me with linear programming questions?

Answer 1

Do you have any specific inequalities ?

Answer 2

Yes let me get them for you

Answer 3

4x + 3y greater than or equal to 30
X + 3y greater than or equal to 21
X greater than or equal to 0, y greater than or equal to 0
Minimum for: C = 5x + 6y

X + y greater than or equal to 8
X + 5y greater than or equal to 20
X greater than or equal to 0, y greater than or equal to 0
Minimum for: C = 3x + 4y

Answer 4

$$
4x+3y \ge 30\implies 3y \ge 30-3x\implies y\ge10-x\\
x+3y \ge 21\implies3y\ge21-x\implies y\ge7-\cfrac{x}{3}\\
x \ge 0\\
y \ge 0
$$

Where is 5x + 6y minimum in this shaded region?