You manage the production process in the high$-$tech facility of Dale Computers Inc. The facility consists of three different assembly lines $(1,2,3)$ making two different products, X and Y$.$ Assembly Line $2$ is dedicated to the assembly of product X$,$ and assembly line $3$ is dedicated to product Y$.$ Assembly Line $1$ can assemble both the products. The production process begins with the procurement of raw materials from suppliers. Next, the raw materials are processed into six independent subassemblies, A$$F$,$ in separate work areas within the facility. Each product is then assembled from these subassemblies in one of the assembly lines. Product X involves the assembly of subassemblies A$,$ B$,$ C$,$ and E$.$ Product Y requires that subassemblies B$,$ C$,$ D$,$ E$,$ and F be assembled. Subsequent to assembly, each product is finished, customized $($painted and other options added$),$ packaged and shipped. Current trends indicate that $20\%$ of product X and $50\%$ of product Y are customized.