A firm makes a paint with three ingredients A, B, & C. At least 10 kilograms of the paint must be produced for the paint mixing machine to operate (it cannot operate with lower volumes). However, the firm cannot store more than 20 kilograms of the paint at any given time. Also, for good drying time at least 1/4th kilogram of ingredient 'C' must be used for every kilogram of ingredient 'A'. For good consistency at least 1 kilogram of ingredient 'B' must be used for every kilogram of ingredient 'C'. The costs of ingredients A, B & C are respectively 6, 18 & 20 dollars per kilogram. Find the least cost mix of the ingredients.
A firm makes a paint with three ingredients A, B, & C. At least 10 kilograms of the paint must be produced for the paint mixing machine to operate (it cannot operate with lower volumes). However, the firm cannot store more than 20 kilograms of the paint at any given time. Also, for good drying time at least 1/4th kilogram of ingredient 'C' must be used for every kilogram of ingredient 'A'. For good consistency at least 1 kilogram of ingredient 'B' must be used for every kilogram of ingredient 'C'. The costs of ingredients A, B & C are respectively 6, 18 & 20 dollars per kilogram. Find the least cost mix of the ingredients.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please write it out and do not use excel.
Transcribed Image Text:2. A firm makes a paint with three ingredients A, B, & C. At least 10
kilograms of the paint must be produced for the paint mixing
machine to operate (it cannot operate with lower volumes).
However, the firm cannot store more than 20 kilograms of the
paint at any given time. Also, for good drying time at least 1/4th
kilogram of ingredient 'C' must be used for every kilogram of
ingredient 'A'. For good consistency at least 1 kilogram of
ingredient 'B' must be used for every kilogram of ingredient 'C'.
The costs of ingredients A, B & C are respectively 6, 18 & 20
dollars per kilogram. Find the least cost mix of the ingredients.
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