Write down the capacity constraint for arc BY. A TV manufacturer produces TV sets at two placts, A and B. Production capacilies and und production costs of each plant ate given below: The company has two customers, Y and Z whose demands are 10,000 and 14,000TV sets, fespectively. The customers can be served directy trom the manufachuring plants or through a distribution center named D. Note that at most 3.500. TV sets shouid be sent between any two socations (e. g. trom A io D, from A to Y, etc.) to be econcrically teasibie. Uni shipping costs (TLunic) between these localiors are provided beiow: Lit aif be the number of TV sets shipped frem i to / where 1,) e (A,D,D,Y,Z) Write down the flow balance equation for node D. A TV manufacturer produces TV sets at two plants, A and s. Production capacities and und production costs of each plant are glven below The company has two customers, Y and Z whose demands are 10,000 and 14,000TV sets, tespectively. The customers can be served directy trom the manufacturing plants or through a distribution center named D. Note that at most 3.000 TV sels should be sent befween any two locations (e.g, from A to D,fromA to Y, etr.) to be econcricaly leasibie. Unit shipping costs (TLunity betwoen these locations are provided below: Write down the flow balance equation for node Z. A TV manufacturer produces TV sets at two plants, A and B. Production capacities and unit production costs of each plant are given below: The company has two customers, Y and Z whose demands are 10,000 and 14,000 TV sets, respectively. The customers can be served directly from the manufacturing plants or through a distribution center named D. Note that at most 3,000 TV sets should be sent between any two locations (e.g. from A to D, from A to Y, etc.) to be economically feasible. Unit shipping costs (TL/unit) between these locations are provided below: Let xij be the number of TV sets shipped from i to j where i,j{A,B,D,Y,Z}