Suppose that 
is directly proportional to the 5th root of 
. If 
when 
find the proportionality constant. Round to the nearest hundredth.
Definitions:
Country
A distinct territorial body or political entity recognized as an independent nation.
Sugar
A sweet-tasting, soluble carbohydrate used widely as a sweetener in food and beverages, derived from various sources such as sugarcane and sugar beet.
Production Quota
A limit set on the amount of goods that can be produced, often used by governments to control supply and stabilize market prices.
Support Price
A price level set by governments in order to stabilize or increase prices of specific goods by buying up the supply or providing subsidies.
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