msaada kwenye tuta

MamaParoko

JF-Expert Member
Jan 14, 2008
464
0
naomba mnisaidie ku form inequality ya swali lifuatalo: at klemu Teachers College the technical section makes table and chairs which are processed through the assembly and finishing departments for a particular order from a customer, only 48 hours of work are available in the assembly and 36 in finishing dept. To manufacture one table it requires 3 hrs in the assembly and 3 hrs in finishing, while a chair requires 4 hrs in assembly and 2 hrs in finishing. If a chair fetches 40 shillings as profit and table 50 shilling as profit, determine the combination table and chairs to produce maximum profit. Tks in advance.
 

Prince

Member
Jul 13, 2008
30
0
let x chairs and y tables be made.

since only 48 hours of work are available in the assembly then it follows that:

4x + 3y <= 48 (i.e. x chairs each taking 4 hrs and y tables each taking 3hrs should not consume more than 48 hrs of assembly unit)

and since there are 36hrs in finishing dept then we have
2x + 3y <= 36

of course since x and y are numbers of items then we have

x >=0

y>=0

Objective function to maximise profit is therefore

40x +50y

endelea kuplot na kutafuta convex polygon set.

cheers
 

Modereta

Senior Member
Jul 24, 2008
163
0
Safi kabisa, inanikumbusha Linear programming, nilikuwa nimesahau kidogo, ahsante sana.
 

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