Assembly-Line Balancing. A product is assembled from three different parts. The parts are manufactured by two departments at different production rates as given in the following table:

Capacity

(hr/wk)

Production rate (units/hr)

Department Part 1 Part 2 Part 3 1 100 6 8 12 2 90 6 12 4 Determine the maximum number of final assembly units that can be produced weekly.

(Hint: Assembly units = min {units of part 1, units of part 2, and units of part 3}.

Maximize z = min {x1, x2} is equivalent to max z subject to z … x1 and z … x2.)