Consider the problem Wonderful Widgets manufactures three ty

Consider the problem “Wonderful Widgets manufactures three types of widgets, the Awesome (A), the Bomb (B), and the Cherub (C). Each widget goes through four work centers, Machining (I), Sub-assembly (II), Assembly(III), and Packaging and shipping (IV). Work center I has 23,000 man-minutes available each week, work center II has 11,500 man-minutes available each week, work center III has 10,800 man-minutes available each week, and work center IV has 7,600 man-minutes available each week. Each model A requires 4 man-minutes in work center I, 3 man-minutes in work center II, 2.5 man-minutes in work center III, and 2 man-minutes in work center IV. Each model B requires 6 man-minutes in work center I, 2 man-minutes in work center II, 3 man minutes in work center III, and 1.5 man minutes in work center IV. Each model C requires 7 man-minutes in work center I, 4 man-minutes in work center II, 5 man-minutes in work center III, and 3 man-minutes in work center IV. The profit for each unit sold is $50 for each model A, $90 for each model B, and $110 for each model C. If all units produced can be sold, how many of each model should be produced each week in order to maximize profit?”

(a) Find the objective function.          (b) Find the constraints.

Solution