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Riverbend Displаy Sоlutiоns (RDS) is а fаbricatiоn and assembly business in Columbia, Missouri that supplies point-of-sale fixtures to regional retailers. RDS competes on quick turnaround and dependable on-time delivery, since store resets are scheduled tightly around promotions and new product launches. For the coming week, RDS’s operations manager must finalize a production plan for three products that share the same workforce, equipment, and raw materials. Customer demand is strong, but the firm cannot simply produce everything requested because several resources are constrained and one product is tied to a fixed purchase order. RDS plans production of three items: Product A (shelf bracket sets), Product B (display stand bases), and Product C (custom counter display frames). Contribution profit per unit is $40 for A, $35 for B, and $60 for C, and the manager must choose how many units of each to produce to maximize total weekly profit. The plan must satisfy four operational limits that reflect how work flows through the plant. First, direct labor is capped at 240 hours next week. Time studies and recent job tickets show that each unit of A requires 3 labor-hours (prep, drilling, assembly, inspection), each B requires 2 labor-hours (prep, tack weld, basic finishing), and each C requires 4 labor-hours because of added alignment checks and a longer finishing sequence. Second, the shared CNC machine cutting and press/brake line is limited to 180 machine-hours due to preventive maintenance and a planned tooling change. Machine-time requirements are 2 hours per unit for A, 3 for B (thicker stock and more bends), and 2 for C. Third, raw material availability is restricted: a supplier allocation provides at most 240 standardized material units of coated steel (converted into a common equivalent for planning). Bills of material indicate usage of 4 material units for each A, 3 for each B, and 5 for each C. Finally, Product C is customized for one retail chain, and the customer’s confirmed purchase order limits shipments to no more than 30 units next week; producing beyond that level would create specialized inventory with little resale value. The operations manager must determine the production quantities of A, B, and C that maximize profit while staying within these labor, machine, material, and order limits. According to the optimal solution, how many units of Product C should the company produce next week? [B] units At the optimal solution, how many direct labor-hours are used (out of 240)? [labor_used] hours What is the maximum total profit the company can earn next week while satisfying all constraints? $ [profit]