Which of the following mathematical relationships could be found in a linear programming model? And which could not (why)?

1. Which of the following mathematical relationships could be found in a linear programming model? And which could not (why)? a. -1A + 2B < 70 b. 2A – 2B = 50 c. 1A – 2B2 < 10 d. 3 squareroot A + 2B > 15 e. 1A + 1B = 6 f. 2A + 5B + 1AB < 25 2. Find the solutions that satisfy the following constraints: a. 4A + 2B < 16 b. 4A + 2B > 16 c. 4A + 2B = 16

Quantitative Methods - Linear Program Graphic Solution Procedure

1. For the linear program: Max 2A + 3B s.t. 1A + 2B < 6 5A + 3B < 15 A,B > 0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? 2. Solve the following linear program using the graphical solution procedure. Max 5A + 5B s.t. 1A < 100 1B < 80 2A + 4B < 400 A, B > 0

Quantitative Methods - Linear Programming - Standard Form - Feasibility

1. For the linear program: Max 4A + 1B s.t. 10A + 2B < 30 3A + 2B < 12 2A + 2B < 10 A, B > 0 a. write this in standard form. b. solve the problem using the graphic solutions procedure. c. what are the values of the three slack variables at the optimal solutions? 2. Consider the follwoing linear program: Min 2A + 2B s.t. 1A + 3B < 12 3A + 1B > 13 1A - 1B = 3 A, B > 0 a. show the feasible region b. what are the extreme points of this region? c. find the optimal solution using the graphical solution procedure.

Use the composite Trapezoidal Rule with indicated values of n=4 to approximate the following integrals

1. Use the composite Trapezoidal Rule with indicated values of n=4 to approximate the following integrals See Attached file for integrals. 2. Use the Excel programs for Simpson’s composite rule to evaluate integrals in Problem 1. 3. Use Gaussian Quadratures with n = 2, n = 4, n = 5 to evaluate integrals in Problem 1. 4. Find exact values of the integrals given in Problem 1. Compare errors in approximate values of the integrals. 5. Give a comparative analysis of errors made by the Trapezoidal Rule, and Simpson rule. Explain for what kind of functions The Simson’s rule gives an exact result for the integral. Explain why. 6. For the improper integral of the following typ... click for more

A function is said to be periodic if

See attachment