Here is a collection of data for this model: set ORIG :- GARY CLEV PITT ; set DEST := FRA DET LAN WIN STL FRE LAF ; set PROD := bands coils; param avail: GARY CLEV PITT := bands 400 700 800 coils 800 1600 1800; SIL param require: FRA DET LAN bands 300 300 coils 500 750 WIN 100 400 75 250 FRE 650 950 LAF := 225 250 850 500; param limit default 625; LAN param cost : FRA DET GARY 30 CLEV 22 PITT 19 10 WIN 8 10 12 STL 10 7 10 FRE 11 21 25 LAF := 71 6 82 13 83 15; 7 11 e: How many Supply constraints does AMPL generate? How many Capacity constraints does AMPL generate? f: How many variables are involved in each Supply constraint? How many variables are involved in each Demand constraint