A Production of 300 Units of Twiddle Bugs, an Educational

question 47

Essay

A production of 300 units of Twiddle Bugs, an educational toy for children, must be completed within 1 week by BugU Manufacturing. Two production lines are available, each for 30 hours during the week. Production line 1 can produce five units per hour and production line 2 can produce four units 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:
P1: Produce 300 units.
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.
P5: Producing more than 300 units is 1-1/2 times as undesirable as producing under 300 units.
-What are the constraints for this problem?

---

Definitions:

Constraint Function

A mathematical expression that employs variables and constants to define limitations or conditions on the optimization of an objective.

Right-Hand Side

The section or part of an equation that appears to the right of the equals sign (=).

C-type Steel Sheets

Steel sheets shaped like a 'C' in cross-section, commonly used in construction and manufacturing for structural support.

Solver

A computational tool used in mathematical programming and optimization to find the best solution to a problem given certain constraints.