Mathematics Homework Solutions

Proof condition that gives an optimal solution-Duality Theory

(See attached file for full problem description)

Duality in piecewise linear convex optimization

(See attached file for full problem description) Hint: Consider the linear program: Min v St. Ax-ve <= b Where X is in Rn and v is in R

Duality Proof

(See attached file for full problem description)

Optimization Problem using Excel add-in Solver

This problem requires the use of Excel and the add-in, called Solver. The course is Excel-based and Solver is the optimization application used for all problems. This particular problem comes from Cliff Ragsdales's " Spreadsheet Modeling and Decisoin Analysis" and is case problem 6.3. The problem appears in this text box an ...continues

LP Algabraic and Spreadsheet Modeling using Excel and Solver

Optimization Problem using Excel add-in Solver This problem requires the use of Excel and the add-in, called Solver. The course is Excel-based and Solver is the optimization application used for all problems. The problem appears in this text box and is also attached as a MS Word file, so it is sure to transmit legibl ...continues

IP Algebraic and Spreadsheet Model

This problem comes from Cliff Ragsdale's textbook, "Spreadsheet Modeling and Decision Analysis". It is problem 13 in Chapter 6. A developer of video game software has seven proposals for new games. Unfortunately, the company cannot develop all the proposals because its budget for new projects is limited to $950,000 and i ...continues

Network Models; Optimization in Excel; Solver

Network Models; Optimization Problem using Excel add-in Solver This is a problem (5-14) from the textbook by Cliff Ragsdale, "Spreadsheet Modeling and Decision Analysis". This problem requires the use of Excel and the add-in, called Solver. The course is Excel-based and Solver is the optimization application used for a ...continues

Duality

See the attached linear programming problem.

Proof

See two matrix problems in the attached file.

tan (2 arc cos (x/3))

Simplify: tan (2 arc cos (x/3)) Solution shall not contain trig and inverse trig functions. Do not use calculator.

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