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.Formulate and solve the goal programming problem.
Oh no! Our experts couldn't answer your question.
Don't worry! We won't leave you hanging. Plus, we're giving you back one question for the inconvenience.
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.
Formulate and solve the goal programming problem.