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Using the equation 242,000/(100-p) -2420 Suppose the annual fine for removing le

ID: 3032556 • Letter: U

Question

Using the equation 242,000/(100-p) -2420
Suppose the annual fine for removing less than 80% of the particulate pollution from the smokestack is $700,000. If you were the companies cheif financial officer, would you advise the company to remove the pollution or pay the fine? Why? Using the equation 242,000/(100-p) -2420
Suppose the annual fine for removing less than 80% of the particulate pollution from the smokestack is $700,000. If you were the companies cheif financial officer, would you advise the company to remove the pollution or pay the fine? Why?
Suppose the annual fine for removing less than 80% of the particulate pollution from the smokestack is $700,000. If you were the companies cheif financial officer, would you advise the company to remove the pollution or pay the fine? Why?

Explanation / Answer

There seems to be an error in the equation. It is likely to be C(p) = 242000p/(100-p) - 2420

The equation c(p) = 242,000 p/(100-p) -2420 describes the cost or removing p percent of the particulate pollution from the smokestacks of an industrial plant . If

242,000 p/(100-p) -2420 =700000, then 242,000p/(100-p) = 702420 or, 242,000p = 70242000–702420p or 242,000 p+ 702420p = 70242000 or, 944420 p = 70242000 so that p = 70242000/944420 = 74.38 (approximately). Thus, if the company is already removing more than 80 - 74.38 = 5.62 % particulate matter from the smokescreen, then there is no point in paying the fine. It may as well incur additional cost and remove at least 80% particulate matter from the smoke stack..