I need the proof of the Linear programming problem attached. --- Consider the LP: Min ct x Subject to Ax ≥ b, x ≥ 0. One can convert the problem to an equivalent one with equality constraints by using slack variables. Suppose that the optimal basis for the equality constrained problem is B. Prove t ...continues
I need a formulation and solution to finding extreme points. (See attached file for full problem description) 1. ABC wants to plan its electricity capacity for the next T years. ABC has a forecast of dt megawatts for electricity during year t = 1,… T. The existing capacity which is in the form of oil-fired plants will b ...continues
Linear Programming : Finding Constraints
I need help in determining the constraints for this problem. I understand that the variables are: X1= pharmacists and X2= pharmacy techs. the minimum formula is 40X1 + 10X2= min. I need the formulas for the constraints. Don't worry about part b, i just need to know how to setup the values for the constraints.
Linear Programming : Optimizing Acreage of an Olive Farm
The seasonal yield of olives in a Pireaus, Greece, vineyard is greatly influenced by a process of branch pruning. If olive trees are pruned every two weeks, output is increased. The pruning process, however, requires considerably more labor than permitting the olives to grow on their own and results in a smaller size olive. It a ...continues
Linear Programming : Optimizing Product Mix
The Androgynous Bicycle Company (ABC) has the hottest new products on the upscale toy market -- boys' and girls' bicycles in bright fashion colors, with oversized hubs and axles, shell design safety tires, a strong padded frame, chrome-plated chains, brackets and valves, and a non-slip handlebar. Due to the seller's market for h ...continues
Operations research and Linear programming
Winkler Furniture manufactures two different types of china cabinets, a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: Carpentry, Painting, and Finishing. The French Provincial model requires 3 hours of production time in the carpentry department, 11/2 : hours in the p ...continues
Linear Programming : Duality and the Simplex Method
Consider the following linear programming problem: Maximize 2x1 + 3x2 + 5x3 Subject to x1 + 2x2 + 3x3 ≤ 8 x1 - 2x2 + 2x3 ≤ 6 x1, x2, x3 ≥ 0 a. Write the dual problem b. Solve the foregoing proble ...continues
Operations research and Linear programming
I need help finding the constraints to this problem. Also I need help understanding part b. --- The Thompson Furniture Company produces inexpensive tables and chairs using a production process common for both products. Each table requires 4 hours in the carpentry department and 2 hours in the painting and varnishing departme ...continues
Linear Programming : Finding Constraints
Please formulate the constraints for this problem as well as solutions to parts c and d. --- Round Tree Manor is a hotel that has two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit contribution per night for each type of room and rental class is as follows: (see attached file for ...continues
Operations research and Linear programming
I need help finding the constraints for this problem as well as solutions to part d and c. (See attached file for full problem description) --- Benson Electronics manufactures a number of components and products for a variety of commercial applications. Each product places different demands on the various departments wit ...continues
