6. A production of 300 units of Big Island cookies, a local cookie produced in Big Island, must be completed within 1 week by the Big Island manufacturing department. Two production lines are available, each for 30 hours during the week. Production line 1 can produce five cookies per hour and production line 2 can produce four cookies an hour. Line 1 costs $50 per hour to operate and line 2 costs $55 per hour. Overtime is available for Line 1 at $15 per hour and for Line 2 at $12 per hour. Management goals in decreasing order are: Hint: You need 4 decision variables, two for each production line. P1: Produce at least 300 cookies. P2: Maximum allowable overtime of 6 hours for line 1. P3: Cost of overtime must not exceed $750. P4: Avoid the underutilization of either production line. Assign weights that are proportional to their production capability.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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6. A production of 300 units of Big Island cookies, a local cookie produced in Big Island,
must be completed within 1 week by the Big Island manufacturing department. Two
production lines are available, each for 30 hours during the week. Production line 1 can
produce five cookies per hour and production line 2 can produce four cookies an hour.
Line 1 costs $50 per hour to operate and line 2 costs $55 per hour. Overtime is available
for Line 1 at $15 per hour and for Line 2 at $12 per hour. Management goals in decreasing
order are: Hint: You need 4 decision variables, two for each production line.
Pl: Produce at least 300 cookies.
P2: Maximum allowable overtime of 6 hours for line 1.
P3: Cost of overtime must not exceed $750.
P4: Avoid the underutilization of either production line. Assign weights that are
proportional to their production capability.
Transcribed Image Text:6. A production of 300 units of Big Island cookies, a local cookie produced in Big Island, must be completed within 1 week by the Big Island manufacturing department. Two production lines are available, each for 30 hours during the week. Production line 1 can produce five cookies per hour and production line 2 can produce four cookies an hour. Line 1 costs $50 per hour to operate and line 2 costs $55 per hour. Overtime is available for Line 1 at $15 per hour and for Line 2 at $12 per hour. Management goals in decreasing order are: Hint: You need 4 decision variables, two for each production line. Pl: Produce at least 300 cookies. P2: Maximum allowable overtime of 6 hours for line 1. P3: Cost of overtime must not exceed $750. P4: Avoid the underutilization of either production line. Assign weights that are proportional to their production capability.
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