Mathematics Homework Solutions

Linear Programming - Transport Problem

Linear Programming problem. There are 2 sections and 3 parts to each sections. Basically to formulate appropriate mathematical model to obtain optimum costs.

Quantitative Analysis in Business Decisions

Mr. Davison has been operating a small bicycle shop at the same location near Aspen, Colorado for 50 years. What type of decisions must he make in operating his business? On what basis would he likely be making these decisions? How do you think Mr. Davison would respond to a suggestion that he hire a quantitative analyst to assi ...continues

Need to decide where to locate call centers and determine the routing of calls to achieve the lowest total cost

You need to decide where to locate call centers and determine the routing of calls to achieve the lowest total cost. You are considering seven cities in which to locate call centers. You know the average cost incurred if a call is made from any of these cities to any region of the country. (See first table below) You also know t ...continues

Operations - Economic Order Quantity, Base Stock Model, Recommended Order Qty

1. Suppose that the R&B Beverage Company has a soft drink product that has a constant annual demand rate of 3600 cases. A case of the soft drink costs R&B $3. Ordering costs are $20 per order and holding costs are 25% of the value of the inventory per year. R&B has 250 working days per year and the lead time is 5 days. Identi ...continues

Effective Capacity

1. In a job shop effective capacity is only 50% of design capacity and actual output is only 90% of effective output. What design capacity would be needed to achieve actual output of 8 jobs per week. 2. The below diagram shows a process that consists of eight separate operations with sequential relationships and capacities ...continues

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

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

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