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At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dP/dx = 100 - 12√x. If the firm employs 25 more workers, then the new level of production of items is -
- 3500
- 4500
- 2500
- 3000
Correct answer: 3500
Solution
The rate of change of production with respect to the number of workers indicates how production increases as more workers are added. By substituting x = 25 into the equation dP/dx = 100 - 12√x, we find the increase in production when 25 additional workers are employed, leading to a total production of 3500 items.
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