Break-even analysis. The price–demand equation and the cost function for the production of handwoven silk scarves are given, respectively, by p = 60 − 2 x and C ( x ) = 3 , 000 + 5 x where x is the number of scarves that can be sold at a price of $ p per unit and C ( x ) is the total cost (in dollars) of producing x scarves. (A) Express the revenue function in terms of x . (B) Graph the cost function and the revenue function in the same viewing window for 0 ≤ x ≤ 900. Use approximation techniques to find the break-even points correct to the nearest unit.
Break-even analysis. The price–demand equation and the cost function for the production of handwoven silk scarves are given, respectively, by p = 60 − 2 x and C ( x ) = 3 , 000 + 5 x where x is the number of scarves that can be sold at a price of $ p per unit and C ( x ) is the total cost (in dollars) of producing x scarves. (A) Express the revenue function in terms of x . (B) Graph the cost function and the revenue function in the same viewing window for 0 ≤ x ≤ 900. Use approximation techniques to find the break-even points correct to the nearest unit.
Solution Summary: The author explains how the revenue function is 60x-2x32.
Break-even analysis. The price–demand equation and the cost function for the production of handwoven silk scarves are given, respectively, by
p
=
60
−
2
x
and
C
(
x
)
=
3
,
000
+
5
x
where x is the number of scarves that can be sold at a price of $p per unit and C(x) is the total cost (in dollars) of producing x scarves.
(A) Express the revenue function in terms of x.
(B) Graph the cost function and the revenue function in the same viewing window for 0 ≤ x ≤ 900. Use approximation techniques to find the break-even points correct to the nearest unit.
Calculus for Business, Economics, Life Sciences and Social Sciences Books a la Carte Edition Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY