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"a higher production" is correct and usable in written English.
You can use it when talking about a company's output or the amount of something that is created. For example, "The factory increased their production this quarter, resulting in a higher production of quality furniture."
Exact(60)
Concerning TNFα, HIV+ mothers had a higher production, especially drug users (p = 0.01).
Many algae companies are also producing oil for higher-margin chemicals such as health supplements, which could justify a higher production cost.
And though plug-in hybrids may be a higher production priority, Audi would remain open to extending purely electric powertrains down the product ladder.
This flexibility comes at the price of a higher production cost for carbon dioxide.
Optimization can yield a higher production at the cost of lower enrichment.
Disruption of zwf1 or zwf2 resulted in a higher production of OTC.
With a higher production volume, these automakers will get to economies of scale and offer more affordable cars, says Daimler board member Thomas Weber.
This alloy can be utilized for manufacturing extruded parts with a higher production rate, compared with other magnesium alloys.
ARTI-Africa's charcoal briquette production plant near Dar es Salaam, Tanzania recently changed locations to allow for a higher production rate.
The supplier with a higher production cost prefers a smaller balance parameter whereas the retailer prefers a larger one.
Neutron-induced fission is expected to have a higher production cross section of the most neutron-rich species.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com