Exercise on production mix


A Brewery Company is realizing beer Type Abeer Type B and beer Type C.
Here below you can find some data about the three product lines:


c1 c2 c3
Beer Type A Beer Type B Beer Type C
Price (€/u) 2,50 €/u 2,00 €/u 2,30 €/u
Variable cost (€/u) 0,70 €/u 0,80 €/u 0,90 €/u
Weekly demand (u) 2.500 u 2.000 u 3.000 u
Machine time (min/u) 4 min/u 3 min/u 2,5 min/u


All three products use the same machine.
The machine time is limited to 9.300 minutes a week.
Which combination or products should be manufactured if the company has to produce the highest profit?