A manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each. The following table provides the time in minutes required by each part: Q)) The constraints and the objectives that are used to Production time in min Product Lathe Drill press 5. 3 6. "Reduce the amount of 3 4. unutilized time for both machines per day" 4 Additionally, the number of units of part 1 may not exceed that of part 2. Assuming that X : number of units need to be produced from product i, wherei e (1.2,3,4) O a Minimize 3z1 + 272 + 5z3 + 4z + s, - s = 600 O b. MinimizeE1 51 +6r2 + 4ra + 74 + s 3z + 2r2 + 5xa + 4z4 + s,-s, = 600 s =600 %3D Oc. Minimize $ +s 52 + 622 + 4r3 +7x4 + s,-s = 10 od. Minimize 521 +6x2 + 4r3 +7z4 + s, 3z1 +2x2 +5rs + 424 + s, s 600 =600 %3D o e Minimize s, +s + s, + s 521 +622 + 4r3 +7r4 + s, 31 +2z2 + 5r3 + 4r, t s = 600 8 = 600
A manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each. The following table provides the time in minutes required by each part: Q)) The constraints and the objectives that are used to Production time in min Product Lathe Drill press 5. 3 6. "Reduce the amount of 3 4. unutilized time for both machines per day" 4 Additionally, the number of units of part 1 may not exceed that of part 2. Assuming that X : number of units need to be produced from product i, wherei e (1.2,3,4) O a Minimize 3z1 + 272 + 5z3 + 4z + s, - s = 600 O b. MinimizeE1 51 +6r2 + 4ra + 74 + s 3z + 2r2 + 5xa + 4z4 + s,-s, = 600 s =600 %3D Oc. Minimize $ +s 52 + 622 + 4r3 +7x4 + s,-s = 10 od. Minimize 521 +6x2 + 4r3 +7z4 + s, 3z1 +2x2 +5rs + 424 + s, s 600 =600 %3D o e Minimize s, +s + s, + s 521 +622 + 4r3 +7r4 + s, 31 +2z2 + 5r3 + 4r, t s = 600 8 = 600
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A manufacturing company produces four
parts that require the use of a lathe and a drill
press. The two machines operate 10 hours a
day each. The following table provides the
time in minutes required by each part:
Q)) The constraints and
the objectives that are
used to
Production time in min
Product
Drill press
Lathe
3
6.
"Reduce the amount of
3.
4.
unutilized time for both
4.
7.
4.
machines per day"
Additionally, the number of units of part 1
may not exceed that of part 2.
Assuming that
x : number of units need to be produced from product i, wherei E (1.2,3,4)
O a Minimize
3z1 +212 + 5r3 + 4z4 + s, - s = 600
O b. Minimize Es,
5a + 6r2 +4r3 +724 +s-s
31 +2r2 + 5xa + 4z4 + s,- s, = 600
Oc. Minimize s, + s
= 600
%3D
521 + 6x2 + 4r3 + 7x4 +s,-s = 10
od. Minimize 1
51 +6z2 + 4r3 + 7x4 + s,
s 600
31 +2x2 +5r3 + 4r4 + s2
= 600
o e Minimize s, +s + s, + s
5 +622 +4r3 +74 + s,
= 600
3 +2r2 + 5r + 4r, t s, 8, = 600
25
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