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Power Source Ltd produces solar panels composed of 150 solar cells each. The company uses 12 solar tabber and stringer machines, which solder and assemble the cells at a rate of 100 cells per hour. The man-machine ratio is 1:1, with 10 technicians per shift working 3 shifts per day. They work 5 days a week and 4 weeks a month, with a 75-minute break each day.

a) How many panels can they produce in one quarter?

b) If all technicians attend a 2-day training from 10 am to 7 pm during Week 3, how many panels will be lost in terms of production capacity?

c) Considering the lost capacity in part b, how many panels will be available in Week 3?

Answer :

480 solar panels can be produced in a quarter. Due to technician training, Week 3 will operate at a reduced capacity of 48 panels. Considering the capacity lost due to technician training, there will be 432 panels available in Week 3.

Given:

12 solar tabber and stringer machines

Rate of assembling 100 cells per hour

The man-machine ratio of 1:1

10 technicians per shift

3 shifts per day

75-minute break

5 working days per week

4 weeks in a month

Required to calculate:

a) Panels produced in one quarter:

Production per day = Number of machines * Rate per machine * Number of shifts

Production per day = 12 machines * 100 cells per machine * 3 shifts = 3,600 cells per day

Panels produced per day = Production per day / 150 cells per panel

Panels produced per day = 3,600 cells / 150 cells per panel = 24 panels per day

Panels produced in one quarter = Panels produced per day * Number of working days in a quarter

Panels produced in one quarter = 24 panels per day * (5 days per week * 4 weeks) = 480 panels

Therefore, they can produce 480 solar panels in one quarter.

b) Lost capacity due to technician training on Week 3:

The training lasts for 2 days, from 10 am to 7 pm. Since the technicians work 3 shifts per day, there will be a total of 3 * 2 = 6 shifts lost.

Lost capacity in cells = Number of machines * Rate per machine * Number of shifts lost

Lost capacity in cells = 12 machines * 100 cells per machine * 6 shifts = 7,200 cells

Lost capacity in panels = Lost capacity in cells / 150 cells per panel

Lost capacity in panels = 7,200 cells / 150 cells per panel = 48 panels

Therefore, the lost capacity on Week 3 due to technician training is 48 panels.

c) Available panels on Week 3:

Available panels on Week 3 = Panels produced in one quarter - Lost capacity on Week 3

Available panels on Week 3 = 480 panels - 48 panels = 432 panels

Therefore, there will be 432 panels available on Week 3 considering the lost capacity due to technician training.

In one quarter, they can make 480 panels. Due to technician training, Week 3 will have 48 panels with less capacity. Taking into account the capacity loss resulting from technician training, there will be 432 panels available in Week 3.

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Rewritten by : Barada