Suppose a company has fixed costs of $36,000 and variable cost per unit of
1/3x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452 −2/3x dollars per unit.

Form the cost function and revenue function (in dollars).
C(x)=
R(x)=

Find the break-even points. (Enter your answers as a comma-separated list.)
x =

Find the vertex of the revenue function.
(x, y) =

Identify the maximum revenue.

Form the profit function from the cost and revenue functions (in dollars).
P(x) =

Find the vertex of the profit function.
(x, y) =

Identify the maximum profit.

What price will maximize the profit?

Which of the following values cannot be probabilities? 0.08, 5 divided by 3, startroot 2 endroot, negative 0.59, 1, 0, 1.44, 3 divided by 5 select all the values that cannot be probabilities. a. five thirds b. 1.44 c. 1 d. startroot 2 endroot e. three fifths f. 0.08 g. 0 h. negative 0.59

Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.