The weekly demand for dvds manufactured by a certain media corporation is given by
p = −0.0006x2 + 65
where p denotes the unit price in dollars and x denotes the quantity demanded. the weekly total cost function associated with producing these discs is given by
c(x) = −0.002x2 + 13x + 4000
where c(x) denotes the total cost (in dollars) incurred in pressing x discs. find the production level that will yield a maximum profit for the manufacturer. hint: use the quadratic formula. (round your answer to the nearest integer.)

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.

2. (09.01 lc) a function is shown in the table. x g(x) −3 17 −1 −3 0 −4 2 13 which of the following is a true statement for this function? (5 points) the function is increasing from x = −3 to x = −1. the function is increasing from x = −1 to x = 0. the function is decreasing from x = 0 to x = 2. the function is decreasing from x = −3 to x = −1.

The area of each triangle is 7 square units. the surface area of the triangular prism is