Question

The price-demand and cost functions for the production and sales of x Mini-Vacs are given as p(x) = 50 - .25x C(x) = 250 + 5x The price per Mini-Vac p(x) and the cost C(x) are in dollars. a. Find the revenue function in terms of x. R(x) = b. Find the profit (or loss) earned at an output of 20 Mini-Vacs. c. On your own, graph revenue and cost on the graph below. Be sure to mark the scale on both axes (fit it to Revenue, which you should graph first), label: y = R(x), y = C(x), the break-even points, the x-intercepts of y = R(x), and the y-intercept of y = C(x). d. According to your graph, what is the maximum revenue and at what output level does it occur? Maximum revenue is $ at x =

          The price-demand and cost functions for the production and sales of x Mini-Vacs are given as
p(x) = 50 - .25x
C(x) = 250 + 5x
The price per Mini-Vac p(x) and the cost C(x) are in dollars.
a. Find the revenue function in terms of x.
R(x) =
b. Find the profit (or loss) earned at an output of 20 Mini-Vacs.
c. On your own, graph revenue and cost on the graph below. Be sure to mark the scale on both axes (fit it to Revenue, which you should graph first), label: y = R(x), y = C(x), the break-even points, the x-intercepts of y = R(x), and the y-intercept of y = C(x).
d. According to your graph, what is the maximum revenue and at what output level does it occur?
Maximum revenue is $ at x =

The price-demand and cost functions for the production and sales of x Mini-Vacs are given as
p(x) = 50 - .25x
C(x) = 250 + 5x
The price per Mini-Vac p(x) and the cost C(x) are in dollars.
a. Find the revenue function in terms of x.
R(x) =
b. Find the profit (or loss) earned at an output of 20 Mini-Vacs.
c. On your own, graph revenue and cost on the graph below. Be sure to mark the scale on both axes (fit it to Revenue, which you should graph first), label: y = R(x), y = C(x), the break-even points, the x-intercepts of y = R(x), and the y-intercept of y = C(x).
d. According to your graph, what is the maximum revenue and at what output level does it occur?
Maximum revenue is at x =

Added by April P.

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