In order to predict the cost per unit, c, of producing x units of her product, mary has developed the quadratic model

c(x) = 0.25x2 - 25x + 1425.

she now wants to use this function to estimate the minimum cost for making her product, and how many units will result in this minimum cost.

a. her first estimate is a minimum cost of $2000. explain why this is unreasonable.

b. next, mary guesses that if she produces no units her cost will be $0 per unit. explain why this is unreasonable.

c. finally, mary decides that she will be able to minimize her cost by producing as many units as possible. explain why this is unreasonable.

Find a third-degree polynomial equation with rational coefficients that has roots -2 and 6+i

When booking personal travel by air, one is always interested in actually arriving at one’s final destination even if that arrival is a bit late. the key variables we can typically try to control are the number of flight connections we have to make in route, and the amount of layover time we allow in those airports whenever we must make a connection. the key variables we have less control over are whether any particular flight will arrive at its destination late and, if late, how many minutes late it will be. for this assignment, the following necessarily-simplified assumptions describe our system of interest: the number of connections in route is a random variable with a poisson distribution, with an expected value of 1. the number of minutes of layover time allowed for each connection is based on a random variable with a poisson distribution (expected value 2) such that the allowed layover time is 15*(x+1). the probability that any particular flight segment will arrive late is a binomial distribution, with the probability of being late of 50%. if a flight arrives late, the number of minutes it is late is based on a random variable with an exponential distribution (lamda = .45) such that the minutes late (always rounded up to 10-minute values) is 10*(x+1). what is the probability of arriving at one’s final destination without having missed a connection? use excel.

The equation y equals 11 x represents the calories jake burns when cross country skiing, where x is time in minutes and why is the number of calories. the graph shows the calories he burns while playing basketball which activity burns at a faster rate? explain