Shaper is available for $120$ hours $,$ and the grinder is available for $110$ hours $.$ No more than $200$ units of component $3$ can be sold $,$ but up to $800$ units of each of the other components can be sold $.$ In fact $,$ the company already has orders for $600$ units of component $1$ that must be satisfied $.$ The per unit selling price and per unit variable costs for each of the three components are as follows $.$ Component Selling