If c(x) = 19000 + 600x − 2.6x2 + 0.004x3 is the cost function and p(x) = 1800 − 8x is the demand function, find the production level that will maximize profit. (hint: if the profit is maximized, then the marginal revenue equals the marginal cost.)

Find the height of a square pyramid that has the volume of 32 ft.³ and a base lengthof 4 feet

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?