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# D1 - Linear Programming query for test tomorrow - Help needed watch

1. For the linear programming problems where sketching is necessary, how should it be done. I know that sounds a stupid question but do you use pencil? Do you vaguely shade it in or fully?
2. (Original post by Burnsy91)
For the linear programming problems where sketching is necessary, how should it be done. I know that sounds a stupid question but do you use pencil? Do you vaguely shade it in or fully?
just write it as feasible region or shade it fully as appropriate , it really doesn't matter
3. (Original post by Burnsy91)
For the linear programming problems where sketching is necessary, how should it be done. I know that sounds a stupid question but do you use pencil? Do you vaguely shade it in or fully?
i think you're supposed to draw short lines on the side you're excluding from the feasible region
4. Yeah, short lines to show bits your excluding I believe, at least thats what we were told
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Sept without the gap
5. hisome one plzz help me on this question about linear programming and by the way i am doing AQA D1

Each day, a factory makes three types of hinge: basic, standard and luxury. The hinges produced need three different components: type A, type B and type C.
Basic hinges need 2 components of type A, 3 components of type B and 1 component of type C.
Standard hinges need 4 components of type A, 2 components of type B and 3 components of type C.
Luxury hinges need 3 components of type A, 4 components of type B and 5 components of type C.
Each day, there are 360 components of type A available, 270 of type B and 450 of type C.
Each day, the factory must use at least 720 components in total.
Each day, the factory must use at least 40% of the total components as type A.
Each day, the factory makes x basic hinges, y standard hinges and z luxury hinges.
In addition to x≥0 , y≥0 , z≥0 , find five inequalities, each involving x, y and z, which must be satisfied. Simplify each inequality where possible.

Now i have been able to find three ineqaulities which are 2x+4y+3z≤360, 3x+2y+4z≤ 270, x+3y+5z≤ 450
now i need help to find the other inequalities i checked the mark scheme they give these other ineqalities 6x+9y +12z ≥ 720
⇒2x+ 3y + 4z ≥ 240 (simplified), 2x+4y+3z≥ 2/5(6x+9y+12z)
2y ≥ 2x + 9z

i don't get how they have come up with the other inequalities so plzzzz help i have exam soon

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