Brain Teasers
Chemical Company
A chemical company spends x million dollars on research and finds that its profit can be expressed as a function of the amount of money spent on research. If Profit(x)= 30 + 6 log (x+2) how much will the company have to spend on research to increase its profit from its present level, with a research investment of 5 million dollars (P(5)), to 80 million dollars.
Hint
1) assume all number's have millions as units.Answer
P(5) = 30 + 6 log(5 + 2)----------------------------
log 2
= 46.84 million dollars
80 = 30 + 6 log2 (x + 2)
50 / 6 = log2 (x + 2)
250/6 = (x + 2)
x = 320.54 million dollars.
Therefore: increase in spending = 320.54 - 5 = 315.54 million
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