Question: Please show your work so I can learn how - I am so confused. Thank you! A company's production facility, consisting of two identical machines,

Please show your work so I can learn how - I am so confused. Thank you!

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

Processing Time per Unit (in hours)

Setup time per Batch

(in hours)

Batch (Lot) Size

(units)

A

2.0

8

100

B

2.8

16

200

Show your calculations for each question at the bottom of the question. Without the solution, an incorrect answer will receive 0 points and correct answers may not receive full points. The shown work will help me see where the error is and provide appropriate partial credit and feedback.

Using the information above, what is the total number of hours required of the machines to meet the annual demand for product A?

  1. Fewer than 5000 hours
  2. Between 5001 and 7000 hours
  3. Between 7001 and 9000 hours
  4. More than 9000 hours

Using the information above, what is the total number of hours required of the milling machine to meet the annual demand for product B?

  1. Fewer than 5000 hours
  2. Between 5001 and 7000 hours
  3. Between 7001 and 9000 hours
  4. More than 9000 hours

What is the company's current annual capacity per machine?

  1. Fewer than 1500
  2. Between 1501 and 2000
  3. Between 2001 and 2500
  4. More than 2500

How many additional machines are required?

  1. No additional machines are necessary.
  2. One additional machine is necessary.
  3. Two additional machines are necessary.
  4. More than two additional machines are necessary.

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