2
8
Tina bought 8 paper roles for
Ro25 1/3. What did he pay
for one paper roll?
Answers
Answer:
Formulation of L.P model:
Key decision is to determine how the paper rolls be cut to the required widths so that trim losses(wastage) are minimum.
Let x
j
(j=1,2,...6) represent the number of times each cutting alternative is to be used.These alternatives result/do not result in certain trim loss.
Objective is to minimize the trim losses.
i.e., minimize Z=x
3
+2x
4
+2x
5
+x
6
.
Constraints are on the market demand for each type of roll width:
For roll width of 3cm, 4x
1
+x
3
+3x
6
≥2,000
For roll width of 4cm, 3x
1
+3x
2
+x
3
+4x
5
+2x
6
≥3,600
and For roll width of 10cm, x
3
+x
4
≥500
Since the variables represent the number of times each alternative is to be used,they cannot have negative values.
∴x
1
,x
2
,x
3
,x
4
,x
5
,x
6
,each≥0
the answer is 8/25okkkkkk