A multimedia company anticipates that there will be a demand for 20,000 copies of a certain DVD during the next year. It costs the company $0.40 to store a DVD for one year. Each time it must make additional DVDs, it costs $250 to set up the equipment. How many DVDs should the company make during each production run to minimize its total storage and setup costs

A company uses 5000 items per annum which has a price of $2 each. The ordering costs are $150 per order and holding costs are $1.50 per item per annum. The company is offered a 5% discount (discounted price is $1.90) for orders of 5000 and over. Order cost and holding cost remain at $150 per order and $1.50 respectively. Assuming that the company orders 5000 items per order, calculate the number of orders per annum, average stock, annual stock holding cost, annual order cost, annual inventory cost and the total annual cost of items and inventory.

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. LineSpeed Number ofDefectiveParts Found 20 23 20 21 30 19 30 15 40 16 40 18 50 14 50 10 (a) Develop a scatter diagram with the line speed as the independent variable. A…

need comprehensive and correct answers.This question is about optimization.