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are additive.<br />
(A) 12.75 min (B) 0 min (C) 15 min (D) 10 min<br />
Solution 18. For minimum total dissatisfaction index<br />
d (DI)/dt = d (t 2 /75 - 0.4t + 10) / dt = 0<br />
2t/75 - 0.4 = 0<br />
t = 15 min<br />
Hence, answer is (C)<br />
Q.19 What is the value of the total dissatisfaction index at this point?<br />
(A) 7 (B) 7.07 (C) 10 (D) 7.33<br />
Solution 19. Putting t = 15 in the equation of total dissatisfaction.<br />
Total DI = 15 2 /75 - 0.4 (15) + 10 = 7.00<br />
Hence, answer is (A)<br />
Q.20 At what point of time will a patient waiting for consultation have the same DI as a patient<br />
in consultation? (Use 0.89 1/2 = 0.94)<br />
(A) approx. 15 min (B) approx. 12.75 min<br />
(C) approx. 10 min (D) approx. 7.5 min<br />
Solution 20.<br />
S.No DI Type 15 min 12.75 min 10 min 7.5 min<br />
1 WC 1.5 3.4425 0.33 1.5<br />
2 IC 2.5 3.625 5 6.25<br />
Hence, answer is (B)<br />
Q.21 Given the following functions of time t, for any value of the parameters a and b, rank them<br />
in the ascending order of function values as t ?<br />
1. f(t) = a 2 bt<br />
2. f2(t) = a + bt<br />
3. f3(t) = ae bt<br />
4. f4(t) = at 2 + bt<br />
(A) f3(t), f1 (t), f4(t), f2(t) (B) f4(t), f1(t), f3(t), f2(t)<br />
(C) f1(t), f3(t), f4(t), f2(t) (D) f2(t), f4(t), f1(t), f3(t)<br />
Solution 21. Among four given functions f2 is linear, f4is quadratic, and f1 and f4are exponential.<br />
Moreover, value of 'e' is greater than 2. Therefore, f3 > f1for higher powers of t.<br />
Thus, ascending order formed will be f2, f4, f1, f3.<br />
Which answer option (D)<br />
Directions: Questions 22 and 23 relate to the COMPANY REVENUE MODELING<br />
problem given below:
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