A charity wants to contact people to collect donations. A personcan be contacted morning or evening, by phone or door-to-door. Theaverage donation resulting from each type of contact is givenbelow:
Phone Door-to-Door
____________________________________
Morning $30 $55
Evening $35 $65
The Charity has 200 volunteer hours in the morning and 150volunteer hours in the evening. Each phone contact takes 8 minutesand each door-to-door contact takes 18 minutes to conduct. TheCharity wants to have at least 600 phone and at least 410door-to-door contacts.
Formulate a linear programming model that meets theserestrictions and maximizes the total average donations.
(a) Define the decision variables.
(b) Determine the objective function. What does itrepresent?
(c) Determine all the constraints. Briefly describe what eachconstraint represents.
Note: Do NOT solve the problem afterformulating
