(a) Explanation Given: The profit equation as Profit = − 20 ( x 2 − 320 x + 3600 ) . Formula used: Quadratic formula: The root of the quadratic equation a x 2 + b x + c = 0 is given by; x = − b ± b 2 − 4 a c 2 a Calculation: Find the number of units sold, x when the profit is greater than zero as: Profit > 0 − 20 ( x 2 − 320 x + 3600 ) > 0 x 2 − 320 x + 3600 < 0 Since, factorization of the given quadratic equation is not possible, use quadratic formula to find the boundary points as: x = − ( − 320 ) ± ( − 320 ) 2 − 4 ( 1 ) ( 3600 ) 2 ( 1 ) = 320 ± 102400 − 14400 2 = 320 ± 88000 2 = 160 ± 148.3 Now, use calculator to find the possible boundary of t as: x = 160 + 148.3 = 308.3 And, x = 160 − 148.3 = 11.7 Divide the number line with the help of this boundary points. This gives; (b) To determine To calculate: The daily profit when 50 units are sold for the profit function − 20 ( x 2 − 320 x + 3600 ) . (c) To determine To calculate: The daily profit when 60 units are sold for the profit function − 20 ( x 2 − 320 x + 3600 ) .

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ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 8.6, Problem 32E

(a)

To determine

To calculate: The number of units sold, x when the profitgiven by equation −20(x2−320x+3600) is greater than zero.

(b)

To determine

To calculate: The daily profit when 50 units are sold for the profit function −20(x2−320x+3600).

(c)

To determine

To calculate: The daily profit when 60 units are sold for the profit function −20(x2−320x+3600).

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Chapter 8.6, Problem 31E

Chapter 8.6, Problem 33E

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Chapter 8 Solutions

Intermediate Algebra (8th Edition)

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The number of units sold, x when the profitgiven by equation − 20 ( x 2 − 320 x + 3600 ) is greater than zero.

Solution Summary: The author explains how to calculate the number of units sold, x when the profit is greater than zero.

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To calculate: The number of units sold, x when the profitgiven by equation −20(x2−320x+3600) is greater than zero.

To calculate: The daily profit when 50 units are sold for the profit function −20(x2−320x+3600).

To calculate: The daily profit when 60 units are sold for the profit function −20(x2−320x+3600).

Want to see the full answer?

Chapter 8 Solutions