This part of the parable is not incidental. The king has prepared a great feast, and he has gone to great lengths to provide every delicacy that could be desired.
First this represents national Israel. They had been given privileges which have been given to no other nation. They were brought into a covenant relationship with God by which he gave them a land to dwell in, protected them, provided for them, taught them, and divulged many truths about himself to them. He showed them in symbolic form how they could have their sins forgiven, and his prophets foretold the coming of the Messiah through whom they could advance beyond this formal relationship with God into a personal one which would bring all the blessings of eternal life by the new birth. That was all part of the invitation. But Israel set no value on it. By their constant turning away from God they showed their poor assessment of their privileges. they did not understand what they had been invited to, and they insulted the Lord by preferring the idols of the nations to the one true living God.
But it also represents the response of the whole human race. All people when they initially hear the gospel reject it. So ignorant are we of the wonders of salvation that we think we are making an informed decision when we do so. We do not consider our great need and how desperately we should be pleading for forgiveness. We do not know and it has never entered our minds what is waiting for those who come to Christ. Nor do we consider the insult to God of rejecting his kindness, when he has gone to such lengths to prepare for us. He has not just prepared a feast at great expense, but he has given his only beloved Son for undeserving wretches who have no claim on his goodness. That costly blessing might be given freely and without regret by God, but when those who receive it turn from it and show that they prefer the passing things of this world, they arouse the anger of God which will not be quenched. And yet God is so moved at our predicament that in spite of this he is determined to save some.