Mathematics Homework Solutions

Inventory Model

#1 Cooper Automotive Products manufactures components used in the automotive industry. The company purchases parts for use in its manufacturing operation from a variety of different suppliers. One supplier provides a part where the assumptions of the EOQ model are realistic. The annual demand is 5000 units, the ordering cost ...continues

Productivity (Labor, Total) Calculations

1. A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Labor cost was $10/hour ...continues

Problem: Compute Labor/total productivity level change for Shopping Cart manufacturing Company adopting new system over the prevailing one. Solution: Compare Cart/labour & Cart/$ productivity for prevailing & new system & view the result

1. A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Labor cost was $10/hour ...continues

Operational Optimization, Queueing, Linear Programming, Logistics, Flow Charts and Productivity

1. A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Labor cost was $10/hour ...continues

Cost Blend - Excel Solver

***Please see the attached file for details*** Newport manufactures coffee by blending 3 types of coffee beans. The cost per pound and the number of pounds used per hour are listed below. The coffees individually meet the following ratings: Bean Cost/lb 1 0.95 2 1.35 3 0.89 The Newport blend requires an aroma ...continues

Decision Tree/Probability

Company XYZ must decide whether or not to introduce a new version of its product. The president thinks that the probability is 0.75 that the new version will be successful and 0.25 that it will not. If the product is a success, the company will gain $300,000. If it is a failure, the company will lose $150,000. a. Constru ...continues

Projected Total Profit

Beaver's makes 3 products. Each requires work in a three different departments. Labor-hour Reqmts Dept Prod1 Prod2 Prod3 Tot avail A 1.50 3.00 2.00 450.00 B 2.00 1.00 2.50 350.00 C 0.25 0.25 0.25 50.00 Profit 25.00 28.00 30.00 Setup costs 400.00 550.00 600.00 Demand 175 150 140 What is the projected total profit a ...continues

Linear Programming

See attached file for full problem description.

Operating Costs and Overbooking

An airline serving Denver's International Airport and Steamboat Springs, Colorado, is considering overbooking its flights to avoid flying with empty seats. For example, the ticket agent is thinking of taking seven reservations for an airlplane that has only six seats. During the pst month, the no-show experience has been: ...continues

Convex Sets

Please see the attached file for the fully formatted problem.

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