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A manufacturer plans to purchase a new type of equipment that can produce their end product independently. The company aims to produce 800 units per day, with the machine operating at 95% efficiency. Each product takes 45 seconds to manufacture. Additionally, for every 100 parts, one set-up is required, taking 3000 seconds.

Determine how many pieces of the new equipment the manufacturer must purchase if they operate on only one 8-hour shift per day.

Answer :

Answer:

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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