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

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

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.7: Direct And Inverse Variation

Problem 39PS

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Question

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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