. The squares of a rectangular board of 11 rows and 9 columns are numbered sequentially 1 through 99 with a hidden monetary reward between 0 and 50 dollars assigned to each square. A game using the board requires the player to choose a square by selecting any two digits and then subtracting the sum of its two digits from the selected number. The player then receives the reward assigned the selected square. What monetary values should be assigned to the 99 squares to minimize the player's reward (regardless of how many times the game is repeated)? To make the game interesting, the assignment of $0 to all the squares is not an option.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...
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1-9. The squares of a rectangular board of 11 rows and 9 columns are numbered sequentially
1 through 99 with a hidden monetary reward between 0 and 50 dollars assigned to each
square. A game using the board requires the player to choose a square by selecting any
two digits and then subtracting the sum of its two digits from the selected number. The
player then receives the reward assigned the selected square. What monetary values
should be assigned to the 99 squares to minimize the player's reward (regardless of how
many times the game is repeated)? To make the game interesting, the assignment of $0 to
all the squares is not an option.
Transcribed Image Text:1-9. The squares of a rectangular board of 11 rows and 9 columns are numbered sequentially 1 through 99 with a hidden monetary reward between 0 and 50 dollars assigned to each square. A game using the board requires the player to choose a square by selecting any two digits and then subtracting the sum of its two digits from the selected number. The player then receives the reward assigned the selected square. What monetary values should be assigned to the 99 squares to minimize the player's reward (regardless of how many times the game is repeated)? To make the game interesting, the assignment of $0 to all the squares is not an option.
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