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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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Word problems p 247 quick check
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 problems p 247 quick check1
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 problems p 247 quick check2
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 problems p 247 quick check3
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 problems p 247 quick check4
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 problems p 247 quick check5
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 problems p 247 quick check6
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 problems p 247 quick check7
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.


Word problems
Word Problems

p.248 #30

Let x = number of tires produced

Let C = total revenue


Word problems1
Word Problems

p.248 #30

Find x at the vertex.


Word problems2
Word Problems

p.248 #30

Find x at the vertex.


Word problems3
Word Problems

p.248 #30

Find x at the vertex.

Producing 1000 tires will minimize cost.


Word problems4
Word Problems

p.248 #30

Find C.


Word problems5
Word Problems

p.248 #30

Find C.


Word problems6
Word Problems

p.248 #30

Find C.

The total cost is $20 when producing 1000 tires.


Homework
Homework

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

HINT: #41-55

A square will maximize area.