we know the following data for alberts fabricating production area: number of machines = 6 number of working…

we know the following data for alberts fabricating production area: number of machines = 6 number of working days in year = 320 processing time per unit = 48 minutes a. what is the annual capacity with a single eight - hour shift? round your answer down to the nearest whole number. b. what is the annual capacity with two shifts? round your answer down to the nearest whole number.

we know the following data for alberts fabricating production area: number of machines = 6 number of working days in year = 320 processing time per unit = 48 minutes a. what is the annual capacity with a single eight - hour shift? round your answer down to the nearest whole number. b. what is the annual capacity with two shifts? round your answer down to the nearest whole number.

Answer

Explanation:

Step1: Calculate capacity per machine per day

First, convert 8 - hour shift to minutes. 1 hour = 60 minutes, so 8 - hour shift is $8\times60 = 480$ minutes. Then, the number of units a single machine can produce per day is $\frac{480}{48}=10$ units.

Step2: Calculate annual capacity for single - shift per machine

With 320 working days in a year, the annual capacity for a single machine with a single 8 - hour shift is $10\times320 = 3200$ units. Since there are 6 machines, the total annual capacity with a single 8 - hour shift is $3200\times6=19200$ units.

Step3: Calculate annual capacity for two - shift

If there are two 8 - hour shifts per day, the number of units a single machine can produce per day is $2\times10 = 20$ units. With 320 working days in a year, the annual capacity for a single machine with two shifts is $20\times320 = 6400$ units. Since there are 6 machines, the total annual capacity with two shifts is $6400\times6 = 38400$ units.

Answer:

a. 19200 units/year b. 38400 units/year