Vinery 1 can produce 30 boxes per day.
Vinery 2 can produce 20 boxes per day.
Fred's needs at least 20 boxes a day.
Kevin's needs at least 18 boxes a day.
Mark's Needs only 5 boxes a day.
COSTS: Fred's Kevin's Mark's
Vinery 1 35 62 65
Vinery 2 28 36 33
Determine min cost delivery scheme that satisfies needs of bottle shops and does not exceep production capacities.
I have defined my decision variables:
X1= number of boxes from Vinery 1 to Fred's
X2= number of boxes from Vinery 2 to Fred's
X3= number of boxes from Vinery 1 to Kevin's
X4= number of boxes from Vinery 2 to Kevin's
X5= number of boxes from Vinery 1 to Mark's
X6= number of boxes from Vinery 2 to Mark's
min Z = 35X1 + 28X2 + 62X3 + 36X4 + 65X5 + 33X6
and my constraints:
X1 + X2 >= 20
X3 + X4 >= 18
X5+ X6 = 5
X1 + X3 + X5 <= 30
X2 + X4 + X6 <= 20
X1,X2,X3,X4,X5,X6 >= 0
Question: Are these the right variables and constraints, and how do i proceed from here?