FeatureRich Software Company has a dilemma. Its new program Doors-12.0, is almos

Question

FeatureRich Software Company has a dilemma. Its new program Doors-12.0, is almost ready to go on the market. However, the longer the company works on it, the better is can make the program and the more it can charge for it. The company's marketing analysts estimate that if it delays t days, it can set the price at p = 90 +3t dollars. On the other hand, the longer it delays, the more market they will lose to their main competitor so that if it delays t days it will be able to sell 350000 - 2400t copies of the program. How many days should FeatureRich delay the release in order to get the greatest revenue?

Explanation / Answer

revenue = f = (90+3t) * (350000-2400*t)

df/dt = 3* (350000-2400*t) + (90+3t)*-2400

solve for t

t=57.92 so 58 days

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