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Examples in Linear Programming

Examples in Linear Programming. Math 20 Introduction to Multivariable Calculus and Linear Algebra October 18, 2004. Maximizing Sales Revenue . A candy manufacturer has 130 pounds of chocolate-covered cherries and 170 pounds of chocolate-covered mints

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Examples in Linear Programming

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  1. Examples in Linear Programming Math 20 Introduction to Multivariable Calculus and Linear Algebra October 18, 2004

  2. Maximizing Sales Revenue • A candy manufacturer has 130 pounds of chocolate-covered cherries and 170 pounds of chocolate-covered mints • Decides to sell them as half-and-half and one-third-to-two-thirds mixtures • Half-and-half bags will cost $2.00/lb. • Other bags will cost $1.25/lb. • How much of each mixture should he make to maximize revenue?

  3. Maximizing Annual Yield • An investor has $10K to invest in two bonds, A and B • A has APY of 10%, B has APY of 7% • Investor decides • At most $6K into A • At least $2K into B • At least as much in A as B • How much in each bond to maximize yield?

  4. Minimizing Cost • Student wants to eat a breakfast of cornflakes and milk which is economical as possible

  5. Minimizing Cost • Wants • At least 9g protein • At least1/4 USRDA of vitamin D • At least 1/3 USRDA of calcium • Between 1 and 3 oz. cereal for each cup of milk • What mixture will minimize the cost of breakfast?

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