Classic problem. I used to get these situations when my supervisor would go to a meeting and nod their head up and down all day without asking questions. Then they get a vague description of what I need to do and sit on it until the last moment. When he would tell me to do it right before the deadline I asked him the questions he should have asked his boss, but the answer was always "figure it out". Since I operated with almost no information my solution was always wrong, but that was my fault.
Of course the right answer is always the quote that is the highest. I remember once trying to get Internet Access from the local Cable Company for the 2nd time. The first time we found out they only laid cable on the other side of the road even though their Office was on our side of the road 1 mile away. At that time the cost was prohibitive to run a line across the road. Later, a company next to us had that installed. We tried again to get cable internet thinking it would be much less now since there was already a cable laid to our side of the road. NOPE, they wanted to charge everyone for the cost of running the same cable across the road. We told them to stick it and went with DSL. We were in a rural area and had few options.