"specified amounts of" is correct and usable in written English.
You can use it when referring to particular amounts of something. For example, "The bank requires specified amounts of money to be deposited each month in order to qualify for the loan."
Under RGGI, 10 Northeastern and mid-Atlantic states ranging from Maine to Maryland set a ceiling on carbon dioxide emissions and require power plants to purchase credits or allowances that allow them to emit specified amounts of carbon dioxide.
The bulk of the money in use came to consist not of actual gold or silver but of fiduciary money promises to pay specified amounts of gold and silver.
By the 1990s, "tradable allowance schemes", which permit companies to buy and sell "pollution credits," or legal rights to produce specified amounts of pollution, had been implemented in the United States.
The base load spectra with the dynamic content were filtered to remove specified amounts of dynamic damage as determined by the CI89 strain-based cumulative fatigue damage program.
Box-Behnken design determined fifteen formulae containing specified amounts of the independent variables, which included stirring speed in rpm (X1), drug polymer ratio (X2) and the surfactant span 80% (X3).
Parametric investigations using the model are carried out for different suspension fluxes (which influence the solids fluxes and underflow solids fractions attained), and also for different specified amounts of and rates of aggregate densification.
Under S.E.C. regulations, insiders can sell only a specified amount of stock based, in part, on its average trading volume in previous weeks.
The police now have the incentive to look into problems as and when they arise and not simply when a specified amount of time has passed.
The companies are required to buy permits, or seek credits elsewhere, if they emit more than a specified amount of carbon.
Every week, the ECB announces a specified amount of cash funds it wishes to supply and sets the lower limit for the acceptable interest rate.
In the mid-1980s the government made it clear that such care would be means-tested, available free only to patients with less than a specified amount of assets.
