Doesn't the answer -- more generally defined in terms of the amount of GDP growth under fixed salaries but rising prices -- depend on supply chain structure?
If companies are perfectly vertically integrated, then 100% of their costs are labor which, under this scenario, are unchanging. At the end of the first year, the company's costs would be the same and the company's sales would be the same (assuming consumers have fixed household budgets, don't borrow money, & don't spend their savings to maintain unit-rate consumption) but the company's unit sales would be running 3% lower and the company's inventory would be growing. GDP would be growing.
Your analysis is certainly deeper than mine. Of course, in the vertically integrated case, one could argue that the CEO is almost certain to give himself a raise, violating the "no increase in salaries" assumption.
it's from Wiki : Nominal GDP estimates are commonly used to determine the economic performance of a whole country or region, and to make international comparisons. Nominal GDP per capita does not, however, reflect differences in the cost of living and the inflation rates of the countries; therefore using a GDP PPP per capita basis is arguably more useful when comparing differences in living standards between nations.
where The standard of living includes factors such as income, quality and availability of employment, class disparity, poverty rate, quality and affordability of housing, hours of work required to purchase necessities, gross domestic product, inflation rate, amount of leisure time every year, affordable (or free) access to quality healthcare, quality and availability of education, life expectancy, incidence of disease, cost of goods and services, infrastructure, national economic growth, economic and political stability, political and religious freedom, environmental quality, climate and safety. The standard of living is closely related to quality of life. "
Thus salaries are a part of the adjusted GDP. The standard GDP sounds probably too general but bearing in mind its specification the income adjustment looks like can be taking into account.