Acme sells two sprocket assemblies for escalators and elevators. Each type of sprocket must first be machined and then assembled. Unit machining and assembly times, capacity limitations, demand restrictions and revenue-cost data are as follows:

\fRequired Hrs/unit Max Unit Machining Assembly Sales Price ($) Sprocket 1 2 N 15 50 Sprocket 2 4 20 60 Capacity (hrs/wk) 90 50 Cost $ 5/hr $ 4/hr Let x1 and x2 represent the number of units of sprockets 1 and 2 to produce, respectively. MAX Z = 32x1 + 36x2 Subject to Max Sales Sp. 1: X ]