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Beft Co makes house signs . 3 different styles of sign are made and the following unitary information is available
Square Oval Clover leaf
$ $ $
Materials:
-Metal @1/kg 4 5 6
-Paint @4/L 2 3 4
Labour
-Manufacturing @4/hr 8 14 10
-Painting @6/week 3 9 12Variable overheads 7 10.50 20
Fixed overheads 13 12 15Profit 2 3 1
SP 39 56.50 68Demand 4000 4500 1800
Painting labour is limited to 7250 hrs for the next month while some of the workers away on a training course
Beft Co has been advised that the training has been extended for the painters into a second week . Beft has also been told that during that 2nd week,both the metal and the paint supplier will be limiting their supplies to 36000 kg of metal and 4500L or paint . Beft Co has decided to concentrate its activities on the square and oval plates and temporarily shut down the clover leaf production line. Their customers have been informed and ZCo has withdrawn its business,giving 1 weeks notice.
which two of the following statements are true?
(1) Labour will have a shadow price of 0
(2) The objective function will be to maximize 15S+15O, where S is the no of square plates produced and O is the no of Oval plates produced
(3) If solved graphically, the optimal solution will be where the constraints for metal and paint intersect
(4) Paint will have a positive shadow price.Pls tell me the answer and also briefly explain each of the options except option 2
We do not provide answers to test questions.
You must have an answer in the same book in which you found the question, so ask about whatever it is in the answer that you are not clear about and then I will help you.
Our free lectures on linear programming cover everything needed to be able to answer this question.
I didn’t quite understand the answer given in the book. pls explain the options in favour of the question. Like tell me why the statements are true n false.
You wrote before that you are happy that statement (2) is true (because the objective is to maximise total contribution).
Statements (3) and (4) are either both true or both false. (If paint is a limiting constraint then it will automatically have a positive shadow price).
However, since the question asks for which 2 of the statements is true, and we know that statement 2 is true, then (3) and (4) cannot both be true.
So statement (1) must be true (which it obviously is for manufacturing labour given that there is no limit given).As you are no doubt aware, actually drawing a graph can no longer be asked in the exam.
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