Cost Minimizing Work Schedule

Each hour from 10 am to 7pm, Bank One receives checks and must process them. Its goal is to process all the checks the same day they are received. The bank has 13 check processing machines, each of which can process up to 500 checks per hour. It takes one worker to operate each machine. Bank One hires both full time and part time employees. Full time workers work 10am - 6pm, 11am - 7pm, or 12pm to 8pm and are paid $160 per day. Part time workers work either 2pm - 7pm or 3pm - 8 pm and are paid $75 per day. The number of checks received each hour is given in table below. In the interest in maintaining continuity, Bank One believes it must have at least three full time workers under co... click for more

Please help and show working for problems

(See attached file for full problem description)

Operations research

Ace Lumber and Building Supply in Andover, Maryland, has received the following order for standard 1x12 boards to be cut in three lengths Order for 1x12 Boards Length Quantity 7 ft 700 9 ft 1200 10 ft 300 The company maintains 1x12 boards in 25-foot standard-length in stock. Therefore, the 25-foot boards must be cut into the lengths necessary to meet the order requirements. The company wishes to minimize the number of standard-length boards used to satisfy this order. a. Formulate a linear programming model that can be used to determine the minimum number of standard-length (25-foot) boards to cut in completing this order. b. Determine the opt... click for more

Using a Linear Programming Model to Minimize Cost

Carson Metals Company produces metal alloys from six different ores it mines. The ores and the metal content of each are described in the table below. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C, and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the table. (see chart in attached file) When the metals are processed and refined, the impurities are removed. a. Formulate a linear programming model that can be used to determ... click for more

Operations Research

I need help solving this problem and also I need to know exactly what the constraints are for this problem and how to figure out the constraints. --- Burnside Marketing Research conducted a study for Baker Foods on some designs for a new dry cereal. Three attributes were found to be most influential in determining which cereal had the best taste: ratio of wheat to corn in the cereal flake, type of sweetener (sugar, honey, or artificial), and the presence or absence of flavor bits. Seven children participated in taste tests and provided the following part-worths for the attributes. (see chart in attached file) a. Suppose the overall utility (sum of part-worths) of the current favor... click for more