Linear Programming

(See attached file for full problem description) --- Question #1 A company produces three products. The per-unit profit, labor usage, and pollution produced per unit are given in the table 1. At most, 3 million labor hours can be used to produce the three products, and government regulations require that the company produce at most 2 lb of pollution. If we let Xi = units produced of product i then the appropriate LP is Max s.t. a. Explain why this LP is poorly scaled. b. Eliminate the scaling problem by redefining the units of the objective function, decision variables, and the right hand sides. Table 1 Product Profit($) Labor Usage(Hrs) Pollution (Lb) 1 6 4 0... click for more

A company needs to lease warehouse storage space

A company needs to lease warehouse storage space for five months at the start of the year. The space requirements (in square feet) and the leasing costs of each type of lease are given in the two tables below: Month Required Space (sq. feet) Jan 15,000 Feb 10,000 Mar 20,000 Apr 5,000 May 25,000 Lease Term (months) Cost per 1,000 sq. feet leased 1 $280 2 $450 3 $600 4 $730 5 $820 Leases for different terms can begin at the same time. In addition, a lease should not be entered into if its term extends past May. (a) Create and solve a linear programming model for determining the leasing schedule that provides the required amounts of space at minimum cost. (b) What woul... click for more

Using Lindo to Develop Constraint Equations

Need assistance in developing equation that will be recognized by Lindo. Have been working on this and keep getting error messages not sure what I am doing wrong. Yes, you can use excel. (See attached file for full problem description) --- The following table is a list of all of the stocks that you have in your stock portfolio. The original purchase price, current price and your best guess for the "anticipated" price (one year into the future) is given below: Share Price ($) Stock # Shares Owned Purchase Current Expected In One Year 1 234 20 30 36 2 272 25 34 39 3 106 30 43 42 4 452 35 47 45 5 486 40 49 51 6 359 45 53 55 7 345 50 60 63 8 419 55 62 64 9 255 60 64 66 ... click for more

Introduction to Vectors and Matrices

(See attached file for full problem description with equations) --- 1. Take the following three row vectors: A = (1, 3), B = (7, 9), C = (7, 2) 1. Find the column vectors V = AT, W = BT, X = CT 2. Create the Matrix D such that A is the first row, B is the second row, and C is the third row 3. Create the Matrix E such that V is the first column, W is the second column, X is the third column 4. Does E = DT? ---

Vector and Matrix Operations

(See attached file for full problem description) --- 1. Find the dot product for the following pairs of vectors... (see attachment)