what India needs to inoculate every adult, some 940 million people.

“It is like inviting 100 people at your home for lunch. You have resources to cook for 20.” Dr. Chandrakant Lahariya, an epidemiologist, said on Twitter.

Already, health providers say they are running out of vaccines. Many Indians who have received one shot say they are having trouble getting a second.

“You feel like you are being cheated,” said Aditya Kapoor, a New Delhi businessman who said he had been turned away from two clinics when he went to get his second dose. “We are as vulnerable as we were on Day 1.”

An online portal the government launched on Wednesday to register for shots crashed because of the demand; more than 13 million Indians eventually got appointments.

“The shortage is everywhere,” said Balbir Singh Sidhu, the health minister in Punjab State, which is struggling to obtain the three million doses of the AstraZeneca vaccine that it ordered.

The Indian health ministry denied that there was a supply shortage and said it had tried to accelerate the rollout by allowing private facilities to purchase directly from manufacturers. But critics say the policy could lead to companies raising prices for private buyers.

In New Delhi, Dr. Shaikh said her vaccination center would soon be unable to offer even the 150 doses it has been administering on an average day.

“Just thinking about not being able to help at our vaccination center makes me cry,” she said.

Sameer Yasir reported from New Delhi, Shashank Bengali from Singapore, and Rick Gladstone from New York,

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