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: Production time in min Product Lathe Drill press 5. 3 4 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) The constraints and the objectives that are used to "reduce the amount of overtime for both machines per day", are: O a. Minimize s +s + s +s 51 +6x2 + 4r3 +7x4 + s,-s =600 3x +2r2 + 5z + 4x4 + s- s • b. Minimize Li-1 $ 51 +6z2 + 4rs +7a +s 32 +2x2 +5arz + 4x4 + s, = 600 600 600 O c. Minimize s, +s 5x1 + 622 +4x3+7r4+8,-s=10 O d. Minimize s, + s 321+2r2 +5ra +4r+ s,- 8 = 600 O e. Minimize i-1 $ 52, + 6x2+4ra + 7x4 + 8, 600 3r + 2x, + 521 + 4z. 600 647
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: Production time in min Product Lathe Drill press 5. 3 4 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) The constraints and the objectives that are used to "reduce the amount of overtime for both machines per day", are: O a. Minimize s +s + s +s 51 +6x2 + 4r3 +7x4 + s,-s =600 3x +2r2 + 5z + 4x4 + s- s • b. Minimize Li-1 $ 51 +6z2 + 4rs +7a +s 32 +2x2 +5arz + 4x4 + s, = 600 600 600 O c. Minimize s, +s 5x1 + 622 +4x3+7r4+8,-s=10 O d. Minimize s, + s 321+2r2 +5ra +4r+ s,- 8 = 600 O e. Minimize i-1 $ 52, + 6x2+4ra + 7x4 + 8, 600 3r + 2x, + 521 + 4z. 600 647
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:
Product
Production time in min
Drill press
Lathe
3
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)
The constraints and the objectives that are used to "reduce the amount of overtime for both
machines per day", are:
O a. Minimize s, +s +s, +s
521 + 6x2 +4z +7x4 +s,- s= 600
3x +2r2+5z +4r4 + s,- s =600
• b. Minimize i-1 S
51 + 6r2+4r3 +7x4 +s, - s
321 +2r2 +5arz + 4x4 + s,
=600
600
Oc. Minimize s, + s
521 + 6r2 + 4æ3+7r4+s,-s=10
Od. Minimize s, + s
321+2r2+5r3 + 4x4 + s, - 8
O e. Minimizei-1 $
600
5, +6r2+4r3 + 7x4 + 8, -s
600
3x1 + 2x2 +5r3 + 4x4 + 8,
600
254
5647
2 3 4
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