Final answer:
The company must sell 35,897 energy-saving lamps in the sixth month to attain the average monthly sale of 36,500. However, this number is not listed in the provided options, suggesting a potential typo or miscalculation.
Step-by-step explanation:
To find out how much sale the energy sector company must have in the sixth month to achieve an average sale of 36,500 energy-saving lamps per month, we first need to calculate the total sales for the first five months and then determine how much more is needed to reach the desired average.
The total sales of the first five months are:
- Month 1: 36,435
- Month 2: 36,927
- Month 3: 36,855
- Month 4: 37,230
- Month 5: 36,656
Adding these sales gives us a total of 183,103 energy-saving lamps. Since we desire an average sale of 36,500 lamps per month over six months, the overall target sales are:
36,500 lamps/month × 6 months = 219,000 lamps
To reach the target, the company must sell:
219,000 lamps (target) - 183,103 lamps (current total) = 35,897 lamps in the sixth month.
However, since this number does not match any of the available options (a) 34,991, (b) 35,991, (c) 36,001, or (d) 36,991, it seems there may be a typo or a calculation mistake either in the question or options given. The closest among the given options is (d) 36,991, and we may have made an error in the addition or the monthly sales figures may be incorrect.