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I think that's a normal amount for him to eat. I couldn't pump enough for my daughter so we've been supplementing 1-2 bottles of formula at daycare. People seem to have had good luck increasing supply with supplements, oatmeal, increasing water, etc. but I never did.

I'm going to go against the grain here and say that I think that your son is being overfed. I have a 4.5 month old daughter and when she first went to daycare I was unsure how much breastmilk to leave for her while she's there so I asked on a FB mom's group I'm a part of and someone recommended this article that I found extremely helpful. http://kellymom.com/bf/pumpingmoms/pumping/milkcalc/

My daughter is at daycare from about 7:30-4:30 and she has about 11-12 oz during that time. I've found that when she's drinking from a bottle, she will suck and suck til the bottle's gone no matter how much is in it, and will always be upset for a few seconds when it's gone. At first this led me to believe that she was still hungry. So sometimes I'd feed her more and she would always drink it all but end up spitting up large amounts shortly after. I've done weighted feeds at my local lactation group and found that she usually only eats 3-4 oz per feed and seems satisfied after that amount from the breast.

On weekends or other days off does he only breastfeed and seem satisfied after eating, or do you supplement at home too? If he seems satisfied after eating from the breast, I think he would be ok eating just what you pump while away from him. Unless you have reason to believe your pump output is drastically less than what he would eat from you on a typical day at home.

ETA: my daughter has 3 bottles at daycare of about 3.5-4 oz each at approx. 9:30, 12, and 2:30. She then breastfeeds at about 5 and 7 and sleeps 8-10 hours straight after that (has done about 7-8+ hours straight at night since 2.5 months old).

My girl typically eats 16 oz in an 8 hour day. our schedule is a little funky, and she's often getting that last bottle around 4 or 4:30. I pick up at 5:30 or so. I only pump 9-10 oz during the workday. I'm still doing an overnight pump (whenever I wake up with full breasts) and usually get 4-6 with that. All that said, I burned through an 80 oz freezer stash in about 2 months. Now, I send whatever I've pumped and she gets formula for the rest. I usually works out to 12 oz BM and 4 oz formula.

I think he's being over fed. In 7 hours, I'd expect mine to eat 7-10 oz in that time period personally. Maybe ask her to do paced feeding and on an every 2.5-3 hour schedule and see how he does? Leave backup milk just in case, but really encourage her to try to stay at 10 oz.

If he's getting about 3.5 ounces per feed then you should be fine with 10oz. Unless he's eating crazy often? Maybe grandma is misreading other cues as hungry cues? The rule of thumb is an ounce an hour or so. 15 sounds like an awful lot.