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- This topic has 2 replies, 2 voices, and was last updated 3 months, 1 week ago by John Moffat.

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- March 31, 2020 at 2:54 pm

aunimadihahParticipantHi sir, good evening,

I would like to ask regarding our Progress Test question about limiting factor.

The question is :Blooms Co is using linear programming to decide how many units of each of its two products to make each week. Weekly production will be x units of Product X, and y units of Product Y. At least 50 unit of X must be produced each week. Each unit of X requires 30 minutes of labour, and each unit of Y requires two hours of labour. There are 5,000 hours of labour available each week.

Which of the following is the correct set of constraints?And the answer is:

1) 0.5x + 2y ?5,000

2) x ? 50

3) y ? 2xI don’t understand how can we get y ? 2x ?

I hope that you can answer my question. Thank you so much !

March 31, 2020 at 3:05 pm

aunimadihahParticipantsorry but it should be:

1) 0.5x + 2y [less or equal to] 5,000

2) x [more or equal to] 50

3) y [more or equal to] 2xTherefore,

I don’t understand how can we get y [more or equal to] 2x ?April 1, 2020 at 8:59 am

John MoffatKeymasterIt seems like your book has missed out a line of the question (or you have not typed it all).

The third constraint would only be relevant if the question had said somewhere that they must produce at least two times as many units of Y as they produce of X.

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