Maths
posted by Rashmi Krishna .
In the following problems, Θ = 20 + units digit of your day of birth.
For example, if you were born on April 1st, then Θ = 20 + 1 = 21.
If you were born on March 30th, then Θ = 20 + 0 = 20.
1. Alok and Bhanu play the following game on arithmetic expressions. Given the expression
N = (Θ + A)/B + (Θ + C + D)/E
where A, B, C, D and E are variables representing digits (0 to 9), Alok would like to maximize N
while Bhanu would like to minimize it. Towards this end, they take turns in instantiating the variables.
Alok starts and, at each move, proposes a value (digit 09) and Bhanu substitutes the value for
a variable of her choice. Assuming both play to their optimal strategies, what is the value of N
at the end of the game? Also find a sequence of moves (digits by Alok and variables by Bhanu)
that would yield this value.
Note: Moves that lead to a dividebyzero condition are disallowed. A nonoptimal sequence of
moves is (5 → B, 6 → C , 3 → D, 2 → E, 0 → A) and the expression evaluates to Θ/5 + (Θ+9)/2.

There are a few things I do not quite get about this "game". It looks to me it's just a question of maximizing or minimizing N(n,A,B,C,D,E) for a specific n (birthdate) by varying the parameters A to E.
"proposes a value (digit 09)"
proposes a value of what?
The date, one of the values of A,B,C,D,E or all of them?
Why is it called a "move" when all the variables are initialized at every "move", meaning that there is no continuity in the "game"?
Respond to this Question
Similar Questions

math
Solve the following equations giving any roots in terms of pi in the .......? 
Trig  Identies/equation, please help!
2Sin(Θ+47°)=1 ΘЄ[0°, 360°) What I did: Sin(Θ+47°)=1/2 Sin 1/2 = Θ+47° 30°+360 = Θ+47° 343° = Θ Ok, so how do i find the other solutions? 
MathTrig
Trig Questions 1. Write the algebraic expression which shows Cos((ArcSin(4/X)), 2. Angle If Csc(Θ)=15/4? 
mathTrig
1. Write the algebraic expression which shows Cos((ArcSin(4/X)), 2. Angle If Csc(Θ)=15/4? 
Trigonometry
1. Find the exact value of the following (Think identity) Cos(2 Arccos(5/13)) 2. Solve the following equation for 0° ≤ Θ < 360° Sec(Θ)= tan(Θ) + cos(Θ) 
math
In the following problems, Θ = 20 + units digit of your day of birth. For example, if you were born on April 1st, then Θ = 20 + 1 = 21. If you were born on March 30th, then Θ = 20 + 0 = 20. You can solve any three of … 
please
Given tan Θ =  8/5 and sin Θ < 0, find sin Θ, cos Θ, csc Θ, sec Θ and cot Θ. 
algebra 1
Mrs. Wilkerson noticed that her inlaws’ birth dates have an unusual property. Her motherinlaw was born 53136, and her fatherinlaw was born 92534. Furthermore, her hus band’s grandfather was born 7714. How many birth … 
Probability
Let Θ1 and Θ2 be some unobserved Bernoulli random variables and let X be an observation. Conditional on X=x, the posterior joint PMF of Θ1 and Θ2 is given by pΘ1,Θ2∣X(θ1,θ2∣x)= 0.26, … 
PreCalculus
This question has me stuck. Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these …