Linear Programming

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 be et for year t (these plants will never be retired). There are two alternatives for expanding electric capacity: coal-fired or nuclear plants. There is a capital cost of ct per mega watt of coal-fired capacity that becomes operational at the beginning of year t. The corresponding cost for nuclear plant is nt. For safety reasons, it has been determined that no more th... click for more

Operations research and Linear programming

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.

Operations reaserch and Linear programming

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 also, though, permits olive trees to be spaced closer together. The yield of one barrel of olives by pruning requires 5 hours of labor and 1 acre of land. The production of a barrel of olives by the normal process requires only 2 labor hours, but takes 2 acres of land. An olive grower has 250 hours of labor available and a total of 150 acres for growing. Because of the... click for more

Operations research and Linear programming

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 high-quality toys, ABC can sell all the bicycles it manufactures at the following prices: boys' bikes -- $220, girls' bikes -- $175. This is the price payable to ABC at its Orlando plant. The firm's accountant has determined that direct labor costs will be 45% of the price ABC receives for the boys' model and 40% of the price received for the girls' model. Producti... click for more

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 painting department, and 3/4 hours in finishing. The Danish modern model requires 2 hours in carpentry, 1 hour in painting, and 3/4 hours in finishing. Each French Provincial cabinet provides a net revenue contribution or $28 while the Danish Modern model yields $25. The company operates on a 5 day week with 360 hours 200 hours, and 125 hours available in each day in t... click for more