B. Mara owns a medical supply store in the city, Her most saleable item is the surgical face mask. The store sells an average of 14 boxes per week where cach box is sold for Php 250 which she originally bought for Php 200. She plans to raise the price to maximize the sales by Php 30 per week starting on the second week of the month. After the second week's increase, she observed that fewer boxes were sold. The number of boxes sold per week are as follows. 145 boxes for the first week, 135 boxes for the second week, 120 boxes for the third week, 92 boxes for the fourth week. Her one-month sale is shown in the table below Price per week (Php) Profit for selling boxes of urgical masks 250 280 310 340 50רר 10 800 13, 200 12, 880 1. What is the maximum profit for the one-month sales? At what price? 2. What is her total profit for one month? Which is the dependent and independent variable? 4. Which quantity is represented in the y-axis? 5. Which quantity is represented in the x-axis? 6. Give a reasonable domain and range for the given situation. 7. Does the situation show a quadratic function? How? 8. Can Mara continue increasing the price per week? What will happen if she keeps on increasing the price? Why? 9. How can one ensure a maximum profit?
B. Mara owns a medical supply store in the city, Her most saleable item is the surgical face mask. The store sells an average of 14 boxes per week where cach box is sold for Php 250 which she originally bought for Php 200. She plans to raise the price to maximize the sales by Php 30 per week starting on the second week of the month. After the second week's increase, she observed that fewer boxes were sold. The number of boxes sold per week are as follows. 145 boxes for the first week, 135 boxes for the second week, 120 boxes for the third week, 92 boxes for the fourth week. Her one-month sale is shown in the table below Price per week (Php) Profit for selling boxes of urgical masks 250 280 310 340 50רר 10 800 13, 200 12, 880 1. What is the maximum profit for the one-month sales? At what price? 2. What is her total profit for one month? Which is the dependent and independent variable? 4. Which quantity is represented in the y-axis? 5. Which quantity is represented in the x-axis? 6. Give a reasonable domain and range for the given situation. 7. Does the situation show a quadratic function? How? 8. Can Mara continue increasing the price per week? What will happen if she keeps on increasing the price? Why? 9. How can one ensure a maximum profit?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:B. Mara owns a medical supply store in the city. Her most saleable item is the surgical face mask.
The store sells an average of 14 boxes per week where cach box is sold for Php 250 which she
originally bought for Php 200. She plans to raise the price to maximize the sales by Php 30 per
week starting on the second week of the month. After the second week's increase, she observed
that fewer boxes were sold. The number of boxes sold per week are as follows.
145 boxes for the first week, 135 boxes for the second week, 120 boxes for the third week,
92 boxes for the fourth week. Her one-month sale is shown in the table below
Price per week
(Php)
Profit for
selling boxes of
urgical masks
250
280
310
340
7250
10 800
13, 200
12, 880
1. What is the maximum profit for the one-month sales? At what price?
2. What is her total profit for one month?
Which is the dependent and independent variable?
4. Which quantity is represented in the y-axis?
Which quantity is represented in the x-axis?
6. Give a reasonable domain and range for the given situation.
Does the situation show a quadratic function? How?
8. Can Mara contiue increasing the price per week? What will happen if she
keeps on increasing the price? Why?
9. How can one ensure a maximum profit?
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