$4\mathrm{.}2$ The Cawfe Mug also uses the by$-$product from it manufacturing plant to produce three

coffee based products : Coffee Cake, Coffee Cookie, and Coffee Roll. Data from this

operation is as follows

The firm is face with operational constraints and will have to cut back on its output.

Required

What would be the most ideal product mix in terms of units and resources, given that

a$)$ Direct material is limited to $960kg$

b$)$ Direct labour is limited to $1900$ hours

State two factors that would influence the production of Coffee Rolls

despite the constraints in the resources