(a) Explanation Given: The profit equation as; Profit = − 10 ( x 2 − 200 x + 1800 ) 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 − 10 ( x 2 − 200 x + 1800 ) > 0 Multiply by − 10 will change the inequality; x 2 − 200 x + 1800 < 0 Since, factorization of the given quadratic equation is not possible, use quadratic formula to find the boundary points as: x = − ( − 200 ) ± ( − 200 ) 2 − 4 ( 1 ) ( 1800 ) 2 ( 1 ) = 200 ± 40000 − 7200 2 = 200 ± 32800 2 = 100 ± 90.6 Now, use calculator to find the possible boundary of t as: x = 100 + 90.6 = 190.6 And, x = 100 − 90.6 = 9.4 Divide the number line with the help of this boundary points (b) To determine To calculate: The daily profit when 50 units are sold for the profit function − 10 ( x 2 − 200 x + 1800 ) . (c) To determine To calculate: The daily profit when 60 units are sold for the profit function − 10 ( x 2 − 200 x + 1800 )

8th Edition

ISBN: 9780134178967

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

Publisher: PEARSON

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 8.6, Problem 31E

(a)

To determine

To calculate: The number of units sold, x when the profit given by equation −10(x2−200x+1800) is greater than zero.

(b)

To determine

To calculate: The daily profit when 50 units are sold for the profit function −10(x2−200x+1800).

(c)

To determine

To calculate: The daily profit when 60 units are sold for the profit function −10(x2−200x+1800)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.6, Problem 30E

Chapter 8.6, Problem 32E

Students have asked these similar questions

Co Given show that Solution Take home Су-15 1994 +19 09/2 4 =a log суто - 1092 ж = a-1 2+1+8 AI | SHOT ON S4 INFINIX CAMERA

a Question 7. If det d e f ghi V3 = 2. Find det -1 2 Question 8. Let A = 1 4 5 0 3 2. 1 Find adj (A) 2 Find det (A) 3 Find A-1 2g 2h 2i -e-f -d 273 2a 2b 2c

Question 1. Solve the system - x1 x2 + 3x3 + 2x4 -x1 + x22x3 + x4 2x12x2+7x3+7x4 Question 2. Consider the system = 1 =-2 = 1 3x1 - x2 + ax3 = 1 x1 + 3x2 + 2x3 x12x2+2x3 = -b = 4 1 For what values of a, b will the system be inconsistent? 2 For what values of a, b will the system have only one solution? For what values of a, b will the saystem have infinitely many solutions?

Chapter 8 Solutions

Intermediate Algebra (8th Edition)

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The number of units sold, x when the profit given by equation − 10 ( x 2 − 200 x + 1800 ) is greater than zero.

Solution Summary: The author calculates the number of units sold, x when the profit given by the quadratic equation is greater than zero.

Concept explainers

Videos

To calculate: The number of units sold, x when the profit given by equation −10(x2−200x+1800) is greater than zero.

To calculate: The daily profit when 50 units are sold for the profit function −10(x2−200x+1800).

To calculate: The daily profit when 60 units are sold for the profit function −10(x2−200x+1800)

Want to see the full answer?

Chapter 8 Solutions