During 1962, the soviet union installed nuclear missiles in cuba. when the us found out, president kennedy discussed the options (i) do nothing, (ii) air strike on the missiles, (iii) a naval blockade of cuba. jfk decided on the naval blockade. negotiations ensued, and khrushchev threatened to escalate the situation; both sides believed that nuclear war was a possibility. finally, the soviet union agreed to remove the missiles if the united states agreed not to invade cuba. privately, kennedy agreed to remove some missiles based in turkey. in order from best to worst, khrushchev’s preference ordering is: missiles allowed, do nothing, acquiesce to blockade, acquiesce to air strike (lose resources), escalate after air strike (risk war but jfk is the initial aggressor), escalate after blockade (risk war and khrushchev is the initial aggressor). jfk’s preference ordering is: blockade and have khrushchev acquiesce, air strike and have khrushchev acquiesce (be tough but use resources), status quo, allow missiles, khrushchev escalates after blockade, khrushchev escalates after air strike. draw a game tree for this game, solve the game, and identify all subgame perfect equilibria. (2 points)

4.9: population write a program that will predict the size of a population of organisms. the program should ask the user for the starting number of organisms, their average daily population increase (as a percentage, expressed as a fraction in decimal form: for example 0.052 would mean a 5.2% increase each day), and the number of days they will multiply. a loop should display the size of the population for each day. prompts, output labels and messages.the three input data should be prompted for with the following prompts: "enter the starting number organisms: ", "enter the daily increase: ", and "enter the number of days the organisms will multiply: " respectively. after the input has been read in successfully, a table is produced, for example: 2 300.0 4 675.0 under the heading is a line of 29 dashes followed by one line for each day, showing the day number and the population at the beginning of that day. input validation.do not accept a number less than 2 for the starting size of the population. if the user fails to satisfy this print a line with this message "invalid. must be at least 2. re-enter: " and try to read the value. similarly, do not accept a negative number for average daily population increase, using the message "invalid. enter a non-negative number: " and retrying. finally, do not accept a number less than 1 for the number of days they will multiply and use the message "invalid. enter 1 or more: ".