The cost function for a telephone manufacturing plant is C(x) = 5x + 24 and the revenue function is R(x) = - 2x + 27x, where x is the number of telephones sold, in thousands.
a) Determine the profit function for the number of phones sold.
b) Determine the number of telephones sold that maximizes profit.
c) Determine the maximum profit in thousands.

Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. the pretzel requires 2.5 cups of flour to make. how much flour is in each loaf of raisin bread? explain the steps to follow to get the answer.

Elena is paid a constant rate for each hour she works. the table shows the amounts of money that elena earned for various amounts of time that she worked.

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.