To present, proffer, or propose something (to someone), especially an amount of money. A noun or pronoun can be used between "make" and "an offer" to specify the person to whom the offer is being made. We know you're being sought after by several different firms, which is why we'd like you make an offer of a $200,000-per-year salary, which is much higher than any of our competitors are going to offer. A: "How much would you want for that Ford Mustang in your driveway?" B: "I wasn't planning on selling it, but make me an offer."