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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)

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)

Advanced Engineering Mathematics
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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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)
Transcribed Image Text: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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