If the customer insists on glass for that size, I would decline the job. It would be unwise to construct that frame with glass, and not make extra provisions to minimize corner-to-corner twisting, which would surely break the glass -- probably before it gets into the buyer's house.
By the time you account for the added reinforcement necessary to support that sheet of glass, and the extra work of obtaining it and fitting the frame with extra care, the retail price ought to be very close to the price of a similar frame with acrylic.
Acrylic does cost more than glass, but not 4 times more, and acquisition cost has to be a considered. You can buy acrylic in standard size from established suppliers, and perhaps have it delivered free. Glass of that size probably would have to come from a glass company; not an established supplier. You may have to pay for delivery, or pick it up yourself -- a cost, either way.
Chances are that if you buy single-strength glass, you will break it at least once before the frame is completed (I would plan on it). If you buy thicker glass, then the price may be very close to that of acrylic.
The matter of liability is worth considering, too. What if you build that frame, place it carefully in the customer's truck, and he suffers a serious injury from the breaking glass when he tries to take it in the house? That is a very real possibility. If he sued you for the price of stitches and medical care, he might win.