Mathematics Homework Solutions

Multiple Regression and Forecasting, Holt Method and Winters Method

--- Quarter Potential Advertising Season Sales Customers (thousands of dollars) (millions) (thousands) 1 100 30 Winter 1,200 2 105 20 Spring 880 3 111 15 Summer 1,800 4 117 40 Fall 1,050 5 122 10 Winter 1,700 6 128 50 Spring 350 7 135 5 Summer 2,500 8 142 40 Fall 760 9 149 20 Winter 2,300 10 156 10 Spring 1,00 ...continues

Using LINDO to Solve a Linear Programming Problem

I want to know how to use Lindo to solve an example in my textbook. Please need detail instructions so I can feel comfortable using LINDO to solving larger problems, The example in the text uses excel spreadsheet, but I want to know how to use LINDO without excel. How do I write out the objective function, supply and demand c ...continues

Integer Programming : Optimizing Using Branch and Bound

Use branch and bound to solve the IPs max z= 5x1 + 2x2 s.t. 3x1 + x2 =< 12 x1 + x2 =< 5 x1, x2 >= 0 (integer)

Use branch and bound to solve the following

Need detailed explainations so I can understand how to solve. (See attached file for full problem description)

Use branch and bound to solve the IPs

Need step by step on how to solve this, so I can understand the method. see attachment

Application Word Problem Continuity and Derivatives

It costs Sugarco 25 cents/lb to purchase the first 100 lb of sugar 20 cents/lb to purchase the next 100 lb and 15 cents to buy each additional pound. Let f(x) be the cost of purchasing x pounds of sugar. Is f(x) continuous at all points? Are there any points where f(x) has no derivative?

Application Word Problem : Limits

Suppose that if x dollars are spent on advertising during a given year, k(1 — e-(cx)) customers will purchase a product (c> 0). a As x grows large, the number of customers purchasing the product approaches a limit. Find this limit. b Can you give an interpretation for k? C Show that the sales response from a dollar of adverti ...continues

Optimization

If a company has m hours of machine time and w hours of labor, it can produce 3m^(1/3)w^(2/3) units of a product. Currently, the company has 216 hours of machine time and 1,000 hours of labor. An extra hour of machine time costs $100, and an extra hour of labor costs $50. If the company has $100 to invest in purchasing addition ...continues

Nonlinear Programming : Kuhn-Tucker Method

Use the K-T conditions to find the optimal solution to the following NLP: min z = (x1 - 1)^2 + (x2 - 2)^2 s.t. -x1 + x2 = 1 x1 + x2 ≤ 2 x1, x2 ≥ 0

Nonlinear Programming : Kuhn-Tucker Method

Please use the K-T method to solve this NLP. max z = e^-x1 + e^(-2x2) s.t. x1 + x2 ≤ 1 x1, x2 ≥ 0 (See attached file for full problem description)

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