The percentage X of a particular compound contained in a rocket fuel follows the distribution N (33, 3), though the specification for X is that it should lie between 30 and 35. The manufacturer will get a net profit (per unit of the fuel) of Rs. 100. if 30

MATLAB: An Introduction with Applications
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The percentage X of a particular compound contained in a rocket fuel follows the
distribution N (33, 3), though the specification for X is that it should lie between
30 and 35. The manufacturer will get a net profit (per unit of the fuel) of Rs. 100.
if 30 <X< 35, Rs. 50, if 25<X<30 or 35<X<40 and incur a loss of Rs. 60 per
unit of the fuel otherwise. Find the expected profit of the manufacturer. If he
wants to increase his expected profit by 50% by increasing the net profit on that
category of the fuel that meets the specification, what should be the new net
profit per unit of the fuel of this category?
Transcribed Image Text:The percentage X of a particular compound contained in a rocket fuel follows the distribution N (33, 3), though the specification for X is that it should lie between 30 and 35. The manufacturer will get a net profit (per unit of the fuel) of Rs. 100. if 30 <X< 35, Rs. 50, if 25<X<30 or 35<X<40 and incur a loss of Rs. 60 per unit of the fuel otherwise. Find the expected profit of the manufacturer. If he wants to increase his expected profit by 50% by increasing the net profit on that category of the fuel that meets the specification, what should be the new net profit per unit of the fuel of this category?
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