In: Advanced Math
Your firm produces two products, Thyristors (T) and Lozenges (L), that compete for the scarce resources of your distribution system. For the next planning period, your distribution system has available 6,000 person-hours. Proper distribution of each T requires 3 hours and each L requires 2 hours. The profit contributions per unit are 40 and 30 for T and L, respectively. Product line considerations dictate that at least 1 T must be sold for each 2 L’s.
(a) Draw the feasible region and draw the profit line that passes through the optimum point.
(b) What are the constraints for this problem?
(c) By simple common sense arguments, what is the optimal solution?