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Answer :
a) Calculation of panels that can be produced in one month: Let's first calculate the production capacity of one machine for an hour = 80 cells per hour Now, if there are 10 machines in use then they can produce 80 × 10 = 800 cells in an hour.
The total duration in minutes in a month is 5 days per week, 4 weeks per month which is equal to 5 × 4 × 24 × 60 = 28,800 minutes Now, the technicians are working 3 shifts per day with a 75-minute break in between, so the net duration they are working per day = 24 × 60 − 75 = 1,425 minutes The net available duration per month (excluding weekends) = 28,800 × 3 = 86,400 minutes Now, the man-machine ratio is 1:1 i.e. 1 technician is required to operate 1 machine. Therefore, there are 10 × 6 = 60 machines that are being operated by 60 technicians. The panels that can be produced in one month = 60 × 1,425 × 10/200 = 42,750
b) Calculation of the number of lost capacity: In this scenario, the lost capacity will be the production loss due to the unavailability of two technicians of shift 2 on Day 2 of Week 3. The number of days they were absent = 1 × 3 = 3 days (they tested positive on the 2nd day, so they can't be counted on Day 2, Day 3, and Day 4) Now, the technicians are working 3 shifts in a day. So the total number of hours lost = 3 × 1,425 × 2 = 8,550. Since they can produce 800 cells per hour. Therefore, the number of cells they could not produce due to unavailability = 8,550 × 800 = 6,840,000 cells. However, since one panel is composed of 200 solar cells. So the number of panels they could not produce = 6,840,000 / 200 = 34,200
c) Calculation of available capacity on Week 3: We already know that the lost capacity for Week 3 = 34,200 panels. The total panels that can be produced in a month = 42,750 panels. Since there are 4 weeks in a month, therefore the panels that can be produced in one week = 42,750/4 = 10,687.5 The available capacity on Week 3 = 10,687.5 - 34,200 = -23,512.5
However, the result is negative, which means that they are short of capacity on Week 3 by 23,512.5 panels.
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