A manufacturer of a product is planning the purchase of a new type of equipment that can produce the end product by itself. The company wants to produce 800 units per day and the machine efficiency is 95%. Assuming that each product can be manufactured in 45 seconds, as well as that for processing each 100 parts, one set-up is required which will take 3000 seconds. Determine how many pieces of the new equipment manufacturer must purchase if it operates on only one 8-hour shift per day

3 equipments

Explanation:

each equipment can produce per day:

total second per 8 hour shift = 8 x 60 x 60 = 28,800 seconds

it takes 4,500 seconds to produce 100 units x 95% efficiency = 95 units

then it must be set-up for 3,000 seconds

this process can be completely repeated 3.84 times per day, so the average production per day per equipment = 3.84 x 95 = 364.8 ≈ 364 units

since they need to produce 800 units per day, the manufacturer should purchase = 800 / 364 = 2.2 ⇒ 3 equipments.

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