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# 5.2 Properties of Parabolas - PowerPoint PPT Presentation

5.2 Properties of Parabolas. Word Problems. Word Problems p.247 Quick Check. The number of widgets the Woodget Company sells can be modeled by -5 p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?. Word Problems p.247 Quick Check.

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### 5.2 Properties of Parabolas

Word Problems

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

Let R = revenue

Let p = price of a widget

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

Let R = revenue

Let p = price of a widget

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

Find p at the vertex. This will be the price that will yield maximum revenue.

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

Find p at the vertex. This will be the price that will yield maximum revenue.

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

\$10 will maximize revenue.

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

Evaluate for R when p = 10.

Word Problemsp.247 Quick Check

The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

A price of \$10 will yield maximum revenue. The maximum revenue is \$500.

p.248 #30

Let x = number of tires produced

Let C = total revenue

p.248 #30

Find x at the vertex.

p.248 #30

Find x at the vertex.

p.248 #30

Find x at the vertex.

Producing 1000 tires will minimize cost.

p.248 #30

Find C.

p.248 #30

Find C.

p.248 #30

Find C.

The total cost is \$20 when producing 1000 tires.

p.248 #28, 29, 41, 43, 54, 55

HINT: #41-55

A square will maximize area.