Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker systems in the first year of production will be represented by the following function, where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars). C(x) = 110x + 36,000 and R(x) = −0.04x^2 + 800x
(a)
Find the profit function P.
P(x) =

(b)
Find the marginal profit function P '.
P '(x) =

(c)
Compute the following values.
P '(3,700) =
P '(9,200) =

5 x 14?

im new, sorry if this is wrong.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation:

for volume, add base x height x width

the first option i believe

step-by-step explanation: