BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.9, Problem 72E

a.

To determine

Graph the given equation in given interval.

Expert Solution

Answer to Problem 72E

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 72E , additional homework tip  1

Explanation of Solution

Given information:

  y=10x+0.5x20.001x350000x450

Making Graph of y=10x+0.5x20.001x35000

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 72E , additional homework tip  2

b.

To determine

Number of cooktops to be produced to begin generating profit

Expert Solution

Answer to Problem 72E

So At least 100 cooktops should be generated to produce profit.

Explanation of Solution

Given information:

  y=10x+0.5x20.001x350000x450

Formula used:

The point where the graph intersect the x-axis is required solution.

The graph intersect the x-axis in interval of 0x450 at (100,0). So At least 100 cooktops should be generated to produce profit.

c.

To determine

Range of values of x where profit is more than 15000.

Expert Solution

Answer to Problem 72E

  x(279.12,400)

Explanation of Solution

Given information:

  y=10x+0.5x20.001x350000x450

Formula used:

Plotting of Graph

As per the given condition, below is the required inequality:

  150010x+0.5x20.001x35000

Making graph of y=10x+0.5x20.001x35000 and y=1500 in one viewing rectangle.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 72E , additional homework tip  3

The region where y=10x+0.5x20.001x35000 is above y=1500 is required solution.

  x(279.12,400)

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