If 50 persons can consume a certain amount of food in two months, in how many months can 30 persons consume the same amount of food?
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- If a company currently has $1000 cash, $300 income every month and $200 profit every month, how many months would it take for a company to run out of money?$4.00 in 1911 would be equivalent to ~$125.00 in 2023. If a person in 2023 earned $125 per week (52 weeks in a year), then how much would they earn for their annual income?Long-Life Insurance developed a linear model to determine the amount of term life insurance a family of four should have, based on the head of the household's current age. The equation is: y = 163 -0.45xwherey = Insurance needed ($000)x = Current age of head of household Calculate the amount of term life insurance you would recommend for a family of four if the head of the household is 53 years old. (Round your answer to 2 decimal places.)
- A software firewall development company is selling a solution against distributed denial of service attacks (DDoS). the software solution looks at the IP address of all incoming packets and if it finds any address that accounts for more than 2% of the network traffic over the last hour, it installs an entry in the firewall (rule table) that blocks all packets from that IP address for 24 hours. the company is very happy and believes that this solution prevents DDOS attacks. a. is this a good solution for preventing DDOS (Yes or No)? b. give two reasons why it is a good solution or why it is not c. can this solution also be used to prevent LAND attacks? explain the answerMinimize Z= x1+2x2-3x3-2x4 subject to: x1+2x2-3x3+x4=4 x1+2x2+x3+2x4=4 x1, x2, x3,x4 are equal or greater then zeroIn this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop at any time. If your total is 8 or more, you lose. If your total is 7 or less, the house then tosses the die repeatedly. The house stops as soon as its total is 4 or more. If the house totals 8 or more, you win. Otherwise, the higher total wins. If there is a tie, the house wins. Consider the following strategies: Keep tossing until your total is 3 or more. Keep tossing until your total is 4 or more. Keep tossing until your total is 5 or more. Keep tossing until your total is 6 or more. Keep tossing until your total is 7 or more. For example, suppose you keep tossing until your total is 4 or more. Here are some examples of how the game might go: You toss a 2 and then a 3 and stop for total of 5. The house tosses a 3 and then a 2. You lose because a tie goes to the house. You toss a 3 and then a 6. You lose. You toss a 6 and stop. The house tosses a 3 and then a 2. You win. You toss a 3 and then a 4 for total of 7. The house tosses a 3 and then a 5. You win. Note that only 4 tosses need to be generated for the house, but more tosses might need to be generated for you, depending on your strategy. Develop a simulation and run it for at least 1000 iterations for each of the strategies listed previously. For each strategy, what are the two values so that you are 95% sure that your probability of winning is between these two values? Which of the five strategies appears to be best?
- You now have 5000. You will toss a fair coin four times. Before each toss you can bet any amount of your money (including none) on the outcome of the toss. If heads comes up, you win the amount you bet. If tails comes up, you lose the amount you bet. Your goal is to reach 15,000. It turns out that you can maximize your chance of reaching 15,000 by betting either the money you have on hand or 15,000 minus the money you have on hand, whichever is smaller. Use simulation to estimate the probability that you will reach your goal with this betting strategy.In a study of the domestic market share of three major automobile manufacturers A, B and C in a certain country, it was found out that of the customers who bought a car manufactured by A, 75% would again buy a car manufactured by A, 15% would buy a car manufactured by B and the rest wouldbuyacarmanufacturedbyC.OfthecustomerswhoboughtacarmanufacturedbyB,90% would again buy a car manufactured by B, 5% would buy a car manufactured by A and the rest would buy a car manufactured by C. Of the customers who bought a car manufactured by C, 85% would again buy a car manufactured by C, 5% would buy a car manufactured by A and the rest would buy a car manufactured by B. Required The long run market share of the manufacturersEighty White applicants and 40 Black applicants applied for a set of job openings in your firm. Assume that you have hired 40 of 80 White applicants. In order to avoid an adverse impact, you should hire a minimum of ______ Black applicants. A. 12 B. 20 C. 16 D. 14 E. 18