Question: Please show me how to do it - I do not need just the answers I need to know how you got them. A company's

Please show me how to do it - I do not need just the answers I need to know how you got them.

A company's production facility, consisting of two identical machines, currently caters only to product A. The annual demand for the product is 4000 units. Management has now decided to introduce another product, B, which uses the same facilities as that of product A. Product B has an annual demand of 2000 units. In view of the uncertainties involved in producing two products, management desires to have an overall 10 percent capacity cushion. Given the following additional information about processing requirements, how many more machines are required? (Assume 8 hours/shift, 2 shifts/day, 250 days/year, and that no overtime is allowed).

Product A: Processing time per unit in hours (2.0), setup time per batch in hours (8), batch lot size in units (100)

Product B: Processing time per unit in hours (2.8), setup time per batch in hours (16), batch lot size in units (200)

Total time to meet demand A = 9152 hours

Total time to meet demand B = 6336 hours

a. what is the company's current annual capacity per machine?

b. How many additional machines are required?

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