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