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 const ...continues

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 < ...continues

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 ...continues

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. ...continues

A function is said to be periodic if

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Differentiable Function

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Taylor Expansion

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Let f be a bounded function on [a, b] with finitely many discontinuous points. Prove that f is Riemann integrable.

Please see attachment.

Mean, Median, Mode and Standard Deviaton

hello again.. need help with the folowing problems. 1. suppose you have administered a test of manual dexterity to two groups of 10 semi skilled workers. one of these two groups of workers will be employed by you to work in a ware house with many fragile items. the higher the manual dexterity of a worker the less likelyhood tha ...continues

Expand the following function into Maclaurin Series (see attached file) using properties of the power series.

1.Expand the following function into Maclaurin Series (see attached file) using properties of the power series. 2. The Lagrange interpolation polynomial may be compactly written as is a shape function. Sketch the shape function in a graphic form. 3. Write a forward and backward difference Newton’s interpolation formulas b ...continues