"When to Get the Maximum Profit" Quadratic Function PPT Courseware 3

Description

"When to Get the Maximum Profit" Quadratic Function PPT Courseware 3

Yiyiyi: How to find the optimal value of a quadratic function

Quadratic function y=a(x-h)²+k (a≠0)

Vertex coordinates (h,k)

①When a>0, when x=h, y has a minimum value=k

②When a<0, when x=h, y has the maximum value=k

Do it

A store sells T-shirts. It is known that the unit price when purchased in batches is 2.5 yuan. According to market research, the sales volume and unit price satisfy the following relationship: within a period of time, when the unit price is 13.5 yuan, the sales volume is 500 pieces, and the unit price is 13.5 yuan per unit. If you reduce the price by 1 yuan, you can sell 200 more pieces.

If the sales unit price is x yuan, (an integer of 20≤x≤35)

Price reduction ____________ yuan per piece

Sales volume can be represented by _______________ pieces

Profit per piece __________ yuan

Total profit obtained y =_________________________

The idea of ​​"quadratic function application"

Looking back at the process of solving the "maximum profit" and "maximum output" problems in this lesson, can you summarize the basic ideas for solving such problems?

1. Understand the problem;

2. Analyze the variables and constants in the problem and the relationship between them;

3. Express the relationship between them mathematically;

4. Do mathematical solutions;

5. Check the rationality and expansion of the test results, etc.

Class exercises

A travel agency organizes a group trip to other places. The minimum group size is 30 people, and the unit price per person is 800 yuan. The travel agency gives a discount to groups with more than 30 people, that is, for every additional person in the tour group, the unit price per person will be reduced by 10 yuan. When the number of people in a tour group is how many, the travel agency can obtain the maximum turnover?

Solution: Suppose there are x people in a tour group, and the travel agency’s turnover is y yuan. Then

y=〔800-10(30-x)〕·x

=-10x2+1100x

=-10(x-55)2+30250

∴When x=55, the maximum value of y=30250

Answer: When there are 55 people in a tour group, the travel agency can earn a maximum profit of 30,250 yuan.

Keywords: quadratic function teaching courseware, when to obtain the maximum profit teaching courseware, Beijing Normal University edition ninth grade mathematics volume 2 PPT courseware, ninth grade mathematics slide courseware download, quadratic function PPT courseware download, when to obtain the maximum profit PPT Courseware download, .ppt format

For more information about the PPT courseware "When Does a Quadratic Function Gain the Maximum Profit", please click the When Does a Quadratic Function PPT Gain the Maximum Profit ppt tag.

"When to Obtain Maximum Profit" Quadratic Function PPT Courseware 5:

"When to Obtain Maximum Profit" Quadratic Function PPT Courseware 5 Endless Aftertaste 1. The graph of the quadratic function y=a(x-h)+k is a parabola, its axis of symmetry is the straight line x=h, and the vertex coordinate is (h , k). 2. The graph of the quadratic function y=ax+bx+c is a parabola, and its...

"When to Obtain Maximum Profit" Quadratic Function PPT Courseware 4:

"When to Obtain Maximum Profit" Quadratic Function PPT Courseware 4 Apply What You Learn: When to Obtain Maximum Profit A store purchases a batch of daily necessities with a unit price of 20 yuan. If they are sold at a unit price of 30 yuan, 400 items can be sold within half a month. .Increasing the unit price based on sales experience will lead to sales..

"When to Obtain Maximum Profit" Quadratic Function PPT Courseware 2:

"When to Obtain the Maximum Profit" Quadratic Function PPT Courseware 2 Learning Objectives 1. Experience the process of exploring the maximum profit in T-shirt sales and other issues, and understand that the quadratic function is a mathematical model of a type of optimization problem. 2. Be able to analyze and express the differences between variables in practical problems..

File Info

Update Time: 2024-09-05

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade Mathematics Volume 2 industry PPT template

Preview