After sanctions hobbled production at its assembly plant in Kaliningrad, the Russian automaker Avtotor announced a lottery for free 10-acre plots of land — and the chance to buy seed potatoes — so employees could grow their own food in the westernmost fringe of the Russian empire during “the difficult economic situation.”

In Moscow, shoppers complained that a kilogram of bananas had shot up to 100 rubles from 60, while in Irkutsk, an industrial city in Siberia, the price of tampons at a store doubled to $7.

Banks have shortened receipts in response to a paper shortage. Clothing manufacturers said they were running out of buttons.

“The economic prospects for Russia are especially gloomy,” the Bank of Finland said in an analysis this month. “By initiating a brutal war against Ukraine, Russia has chosen to become much poorer and less influential in economic terms.”

Even the Central Bank of Russia has predicted a staggering inflation rate between 18 and 23 percent this year, and a falloff in total output of as much as 10 percent.

It is not easy to figure out the impact of the war and sanctions on the Russian economy at a time when even using the words “war” and “invasion” are illegal. President Vladimir V. Putin has insisted that the economy is weathering the measures imposed by the United States, Europe and others.

Financial maneuvers taken by Moscow helped blunt the economic damage initially. At the start of the conflict, the central bank doubled interest rates to 19 percent to stabilize the currency, and recently was able to lower rates to 14 percent. The ruble is trading at its highest level in more than two years.

And even though Russia has had to sell oil at a discount, dizzying increases in global prices are causing tax revenues from oil to surge past $180 billion this year despite production cuts, according to Rystad Energy. Natural gas deliveries will add another $80 billion to Moscow’s treasury.

In any case, Mr. Putin has shown few signs that pressure from abroad will push him to scale back military strikes against Ukraine.

Still, Avtotor’s vegetable patch lottery and what it says about the vulnerabilities facing the Russian people, along with shortages and price increases, are signs of the economic distress that is gripping some Russian businesses and workers since the war started nearly three months ago.

Analysts say that the rift with many of the world’s largest trading partners and technological powerhouses will inflict deep and lasting damage on the Russian economy.

“The really hard times for the Russian economy are still in front of us,” said Laura Solanko, a senior adviser at the Bank of Finland Institute for Emerging Economies.

The stock of supplies and spare parts that are keeping businesses humming will run out in a few months, Ms. Solanko said. At the same time, a lack of sophisticated technology and investment from abroad will hamper Russia’s productive capacity going forward.

The Russian Central Bank has already acknowledged that consumer demand and lending are on a downhill slide, and that “businesses are experiencing considerable difficulties in production and logistics.”

Ivan Khokhlov, who co-founded 12Storeez, a clothing brand that evolved from a showroom in his apartment in Yekaterinburg to a major company with 1,000 employees and 46 stores, is contending with the problem firsthand.

“With every new wave of sanctions, it becomes harder to produce our product on time,” Mr. Khokhlov said. The company’s bank account in Europe was still blocked because of sanctions shortly after the invasion, while logistical disruptions had forced him to raise prices.

“We face delays, disruptions and price increases,” he said. “As logistics with Europe gets destroyed, we rely more on China, which has its own difficulties too.”

Hundreds of foreign firms have already curtailed their business in or withdrawn altogether from Russia, according to an accounting kept by the Yale School of Management. And the exodus of companies continued this week with McDonald’s. The company said that after three decades, it planned to sell its business, which includes 850 restaurants and franchises and employs 62,000 people in Russia.

“I passed the very first McDonald’s that opened in Russia in the ’90s,” Artem Komolyatov, a 31-year-old tech worker in Moscow, said recently. “Now it’s completely empty. Lonely. The sign still hangs. But inside it’s all blocked off. It’s completely dead.”

Nearby two police officers in bulletproof vests and automatic rifles stood guard, he said, ready to head off any protesters.

In Leningradsky railway station, at one of the few franchises that remained open on Monday, customers lined up for more than an hour for a last taste of McDonald’s hamburgers and fries.