Jay-R manufactures lemon-flavored soft drink called Lemona by combining lemon soda and lemon juice. Each unit of lemon soda contains 0.5 units of sugar and 1 mg of vitamin C. Each unit of lemon juice contains 0.25 units of sugar and 3 mg of vitamin C. It costs Php 50 to produce a unit of lemon soda and Php 60 to produce a unit of lemon juice. Jay-R's marketing department has decide that each bottle of Lemona must be of size 10 units, and must contain at least 20 mg of vitamins C and at most 4 units of sugar. How can the marketing department's requirements be met at minimum cost? ( Use Big-M )
Jay-R manufactures lemon-flavored soft drink called Lemona by combining lemon soda and lemon juice. Each unit of lemon soda contains 0.5 units of sugar and 1 mg of vitamin C. Each unit of lemon juice contains 0.25 units of sugar and 3 mg of vitamin C. It costs Php 50 to produce a unit of lemon soda and Php 60 to produce a unit of lemon juice. Jay-R's marketing department has decide that each bottle of Lemona must be of size 10 units, and must contain at least 20 mg of vitamins C and at most 4 units of sugar. How can the marketing department's requirements be met at minimum cost? ( Use Big-M )
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 5P
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Jay-R manufactures lemon-flavored soft drink called Lemona by combining lemon soda and lemon juice. Each unit of lemon soda contains 0.5 units of sugar and 1 mg of vitamin C. Each unit of lemon juice contains 0.25 units of sugar and 3 mg of vitamin C. It costs Php 50 to produce a unit of lemon soda and Php 60 to produce a unit of lemon juice. Jay-R's marketing department has decide that each bottle of Lemona must be of size 10 units, and must contain at least 20 mg of vitamins C and at most 4 units of sugar. How can the marketing department's requirements be met at minimum cost? ( Use Big-M )
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