Question

Linear programming

Answer 1

To prevent an infection, there are three drugs u, v, w needed. A patient must have at least 20 mg of u, 36 mg of v, w of 14 mg administered to heal. These drugs are commercially available in the form of A-pills and B-powders. An A-pill contains 1 mg of u, 2mg v and 3mg of w and costs 4 euros. A B-powder contains 5 mg of u, 6mg of v and 1mg of w and costs 5 euros. How many pills and powders must purchase a patient to cure as cheap as possible?

Answer 2

Can somone help me with the inequalities?

Answer 3

@Mertsj @skullpatrol @Solmyr @anas2000 @alli14344 @drawar @Aria11 @arpan65 @ganeshie8 @UnkleRhaukus @jhonyy9 @KeganMoore @mathslover @marylou004 @Aria11 @LifeIsADangerousGame

Answer 4

i'm not sure which approach to take but i get:

y + 2v + 3w = 4
5u + 6v + w = 5
20u + 36v +14w = minimum

not sure if the value should be minimum or something else.

Answer 5

Teacher said you have to use x and y.

Answer 6

x = pills
Y= powders

Answer 7

my next guess would be:

y + 2v + 3w = 4x
5u + 6v + w = 5y
20u + 36v +14w = Ex + Fy

Answer 8

No, the u,v and w are just products said the teacher.

Answer 9

would be a matric like this. the u,v,w column separate, and almost redundant.
would be my best guess, lol.

\[\left[\begin{matrix}1 & 2 & 3 \\ 5 & 6 & 1 \\ 20 & 36 & 14\end{matrix}\right] \left[\begin{matrix}u \\ v \\w\end{matrix}\right] = \left[\begin{matrix}4x \\ 5y\\ Ex + Fy\end{matrix}\right]\]

Answer 10

@Jack1