72. Break-even analysis. Use the revenue function from Problem 70, and the given cost function: R(x) = x(2,000 - 60x) C(x) = 4,000+ 500x Revenue function Cost function where x is thousands of computers, and C(x) and R(x) are in thousands of dollars. Both functions have domain 1 ≤ x ≤ 25. (A) Sketch a graph of both functions in the same rectangular coordinate system.

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Author:Tucker
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Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphics To Economics
Problem 1SQ
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|||
=
B
Section 2.3
(C) Use values of the modeling function fto estimate Ford's
market share in 2025 and in 2028.
2.3 - Google Docs
(D) Write a brief verbal description of Ford's market share
from 1985 to 2015.
=
67. Tire mileage. Using quadratic regression on a graphing
calculator, show that the quadratic function that best fits the
data on tire mileage in Problem 65 is
f(x)
-0.518x² + 33.3x – 481
68. Automobile production. Using quadratic regression on a
graphing calculator, show that the quadratic function that best
fits the data on market share in Problem 66 is
f(x) = -0.0117x² + 0.32x + 17.9
69. Revenue. The marketing research department for a company
that manufactures and sells memory chips for microcomputers
established the following price-demand and revenue
functions:
p(x) = 75 - 3x
R(x) = xp(x) = x(75 – 3x)
reader.yuzu.com
Price-demand function
Revenue function
where p(x) is the wholesale price in dollars at which x million
chips can be sold, and R(x) is in millions of dollars. Both
functions have domain 1 ≤ x ≤ 20.
b Success Confirmation of Question Submission | bartleby
Q
b
where x is in millions of chips, and R(x) and C(x) are in mil-
lions of dollars. Both functions have domain 1 ≤ x ≤ 20.
Yuzu: MyLab Math for Finite Mathematics for Business,...
(A) Sketch a graph of both functions in the same rectangular
coordinate system.
(B) Find the break-even points to the nearest thousand chips.
(C) For what values of x will a loss occur? A profit?
72. Break-even analysis. Use the revenue function from
Problem 70, and the given cost function:
R(x) = x(2,000 - 60x)
C(x) = 4,000+ 500x
Revenue function
Cost function
where x is thousands of computers, and C(x) and R(x)
are in thousands of dollars. Both functions have domain
1 ≤ x ≤ 25.
(A) Sketch a graph of both functions in the same rectangular
coordinate system.
(B) Find the break-even points.
(C) For what values of x will a loss occur? A profit?
73. Profit-loss analysis. Use the revenue and cost functions
from Problem 71:
R(x) = x(75 – 3x)
C(x) =
= 125 + 16x
Revenue function
Cost function
AA
82
/ 606
>
Transcribed Image Text:< ||| = B Section 2.3 (C) Use values of the modeling function fto estimate Ford's market share in 2025 and in 2028. 2.3 - Google Docs (D) Write a brief verbal description of Ford's market share from 1985 to 2015. = 67. Tire mileage. Using quadratic regression on a graphing calculator, show that the quadratic function that best fits the data on tire mileage in Problem 65 is f(x) -0.518x² + 33.3x – 481 68. Automobile production. Using quadratic regression on a graphing calculator, show that the quadratic function that best fits the data on market share in Problem 66 is f(x) = -0.0117x² + 0.32x + 17.9 69. Revenue. The marketing research department for a company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions: p(x) = 75 - 3x R(x) = xp(x) = x(75 – 3x) reader.yuzu.com Price-demand function Revenue function where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 1 ≤ x ≤ 20. b Success Confirmation of Question Submission | bartleby Q b where x is in millions of chips, and R(x) and C(x) are in mil- lions of dollars. Both functions have domain 1 ≤ x ≤ 20. Yuzu: MyLab Math for Finite Mathematics for Business,... (A) Sketch a graph of both functions in the same rectangular coordinate system. (B) Find the break-even points to the nearest thousand chips. (C) For what values of x will a loss occur? A profit? 72. Break-even analysis. Use the revenue function from Problem 70, and the given cost function: R(x) = x(2,000 - 60x) C(x) = 4,000+ 500x Revenue function Cost function where x is thousands of computers, and C(x) and R(x) are in thousands of dollars. Both functions have domain 1 ≤ x ≤ 25. (A) Sketch a graph of both functions in the same rectangular coordinate system. (B) Find the break-even points. (C) For what values of x will a loss occur? A profit? 73. Profit-loss analysis. Use the revenue and cost functions from Problem 71: R(x) = x(75 – 3x) C(x) = = 125 + 16x Revenue function Cost function AA 82 / 606 >
70. Revenue. The marketing research department for a company
that manufactures and sells notebook computers established
the following price-demand and revenue functions:
p(x) = 2,000 60x
R(x) = xp(x)
= x(2,000 - 60x)
Price-demand function
Revenue function
where p(x) is the wholesale price in dollars at which x
thousand computers can be sold, and R(x) is in thousands of
dollars. Both functions have domain 1 ≤ x ≤ 25.
(A) Sketch a graph of the revenue function in a rectangular
coordinate system.
(B) Find the value of x that will produce the maximum
revenue. What is the maximum revenue to the nearest
thousand dollars?
(C) What is the wholesale price per computer (to the nearest
dollar) that produces the maximum revenue?
Transcribed Image Text:70. Revenue. The marketing research department for a company that manufactures and sells notebook computers established the following price-demand and revenue functions: p(x) = 2,000 60x R(x) = xp(x) = x(2,000 - 60x) Price-demand function Revenue function where p(x) is the wholesale price in dollars at which x thousand computers can be sold, and R(x) is in thousands of dollars. Both functions have domain 1 ≤ x ≤ 25. (A) Sketch a graph of the revenue function in a rectangular coordinate system. (B) Find the value of x that will produce the maximum revenue. What is the maximum revenue to the nearest thousand dollars? (C) What is the wholesale price per computer (to the nearest dollar) that produces the maximum revenue?
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