13. MARGINAL COST, REVENUE, AND PROFIT FOR PRODUCING LED TVS The weekly demand for the Pulsar 25 color LED television is p = 600 - 0.05x where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is (0sxS 12,000) given by C(x) = 0.000002x³ – 0.03x + 400x + 80,000 %3D where C(x) denotes the total cost incurred in producing x sets. a. Find the revenue function R and the profit function P. b. Find the marginal cost function C', the marginal rev- enue function R', and the marginal profit function P'. c. Compute C' (2000), R'(2000), and P'(2000), and interpret your results.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 88E
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TVs The weekly demand for the Pulsar 25 color LED
13. MARGINAL COST, REVENUE, AND PROFIT FOR PRODUCING LED
television is
p = 600 - 0.05.x
(0sxs12,000)
uhere p denotes the wholesale unit price in dollars and x
denotes the quantity demanded. The weekly total cost
function associated with manufacturing the Pulsar 25 is
given by
C(x) = 0.000002x³ – 0.03.xr² + 400x + 80,000
%3D
where C(x) denotes the total cost incurred in producing x
sets.
a. Find the revenue function R and the profit function P.
b. Find the marginal cost function C', the marginal rev-
enue function R', and the marginal profit function P'.
c. Compute C' (2000), R' (2000), and P'(2000), and
interpret your results.
d. Sketch the graphs of the functions C, R, and P, and
interpret parts (b) and (c), using the graphs obtained.
Transcribed Image Text:TVs The weekly demand for the Pulsar 25 color LED 13. MARGINAL COST, REVENUE, AND PROFIT FOR PRODUCING LED television is p = 600 - 0.05.x (0sxs12,000) uhere p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x) = 0.000002x³ – 0.03.xr² + 400x + 80,000 %3D where C(x) denotes the total cost incurred in producing x sets. a. Find the revenue function R and the profit function P. b. Find the marginal cost function C', the marginal rev- enue function R', and the marginal profit function P'. c. Compute C' (2000), R' (2000), and P'(2000), and interpret your results. d. Sketch the graphs of the functions C, R, and P, and interpret parts (b) and (c), using the graphs obtained.
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