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 6 32 2.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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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
3
6.
2
3.
4.
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)
Additionally, the number of units of part 1 may not exceed that of part 2.
Assuming that z, : number of units need to be produced from product i, where i e {1,2,3,4}
The constraints and the objectives that are used to formulate "The market demand for each part is at least 10 units per day", are:
O a Minimize E
z +s-= 10, Vi
Ob. Minimize s4, 824 $3,4 4,4
I+84-84 = 10, Vi
O. Minimize mar(s,4, 82,4 $3,4 $44)
zi +8-s = 10, Vi
Od. Minimize si, 24 34 $i
$4= 10, Vi
Oe.
none of the mentioned
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: Production time in min Product Lathe Drill press 3 6. 2 3. 4. 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) Additionally, the number of units of part 1 may not exceed that of part 2. Assuming that z, : number of units need to be produced from product i, where i e {1,2,3,4} The constraints and the objectives that are used to formulate "The market demand for each part is at least 10 units per day", are: O a Minimize E z +s-= 10, Vi Ob. Minimize s4, 824 $3,4 4,4 I+84-84 = 10, Vi O. Minimize mar(s,4, 82,4 $3,4 $44) zi +8-s = 10, Vi Od. Minimize si, 24 34 $i $4= 10, Vi Oe. none of the mentioned
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