Real-World Applicationshard
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A pharmaceutical company manufactures two insulin formulations with different concentrations. Formula X contains 5 units/mL, and Formula Y contains 15 units/mL. A 10 mL dose must deliver exactly 100 units. Additionally, due to stability constraints, Formula X must comprise at least 30% of the mixture by volume, and Formula Y cannot exceed 65% by volume. What volume of Formula X (in mL) satisfies these constraints?
A pharmaceutical company manufactures two insulin formulations with different concentrations. Formula X contains 5 units/mL, and Formula Y contains 15 units/mL. A 10 mL dose must deliver exactly 100 units. Additionally, due to stability constraints, Formula X must comprise at least 30% of the mixture by volume, and Formula Y cannot exceed 65% by volume. What volume of Formula X (in mL) satisfies these constraints?