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

Objective function:

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?