Mark, Tim, Maia, and Kelly are dividing a cake among themselves using the lone-divider method. The divider divides the cake into four slices ( s 1 , s 2 , s 3 , and s 4 ) . T a b l e 3 - 1 8 shows the values of the slices to each player expressed as a percent of the total value of the cake. Table 3 − 1 8 Mark 20% 32% 28% 20% Tim 25% 25 % 25% 25% Maia 15% 15% 30% 40% Kelly 24% 24% 24% 28% a. Who was the divider? b. Find a fair division of the cake.
Mark, Tim, Maia, and Kelly are dividing a cake among themselves using the lone-divider method. The divider divides the cake into four slices ( s 1 , s 2 , s 3 , and s 4 ) . T a b l e 3 - 1 8 shows the values of the slices to each player expressed as a percent of the total value of the cake. Table 3 − 1 8 Mark 20% 32% 28% 20% Tim 25% 25 % 25% 25% Maia 15% 15% 30% 40% Kelly 24% 24% 24% 28% a. Who was the divider? b. Find a fair division of the cake.
Mark, Tim, Maia, and Kelly are dividing a cake among themselves using the lone-divider method. The divider divides the cake into four slices
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shows the values of the slices to each player expressed as a percent of the total value of the cake.
Golden Ratio search Method
f(x) = 2x^3 - 3x^2 - 12x + 1
Golden ratio search rules 1.If f(x) < f(x2):
1. Eliminate all x values less than x2
2. X2 becomes the new a
3. x, becomes the new x2
4. no change in b
If f(x) > f(x2):
1. Eliminate all x values greater than x
2. x, becomes the new b
3. x2 becomes the new x
4. no change in aquesion=Narrow the interval in which the minimizer of the function f is located using the golden search method, starting with the initial interval (0,6], until its width is less than 2. Then, accept the midpoint of this interval as an approximate value of the minimizer of the function fand determine it. (ф=0.62)According to the question above, fill in the table below using the algorithm until the appropriate place.please write every step by step in a verry comprehensive way
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