VolWare needs your help with determining the optimal product mix. VolWare manufactures three products$$A$,$ B$,$ and C$$and uses three different machines in the process$$W$,$ X$,$ and Y$.$ The following diagram shows the flow process, raw material costs and selling prices per unit of product, and machine processing times for each product. Note that weekly demand for products A$,$ B$,$ and C is $300,250,$ and $150$ units, respectively, while each machine is available for $2,400$ minutes per week.