7. Howard's Hamburgers charges $5.00 per hamburger and sells on average 100 hamburgers per day. He finds that for each $0.25 price increase, he sells 10 fewer hamburgers. It costs Howard $2.00 to make each burger. Determine the price per hamburger Howard should charge in order to maximize his profits.

Algebra and Trigonometry (6th Edition)
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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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Question at top my answer at bottom , I have answer as 3.75 the book says it's 4.75 I'm confused could you help  grade 10 

7. Howard's Hamburgers charges $5.00 per hamburger and sells on average 100
hamburgers per day. He finds that for each $0.25 price increase, he sells 10 fewer
hamburgers. It costs Howard $2.00 to make each burger. Determine the price per
hamburger Howard should charge in order to maximize his profits.
✓
-20
Profit =
म
(100) (5) = 2b =
7. -
revenue - expenses
(100-010x) (5 +0.25x)
7
-10x = -100
-10
-10
X = 10
5
19
Aos
.. new price should
•25 x = -5
25
be 5 -1.25 3.75
↓
X=-20
725
= -5
e. -5
10+ (-20)
2
R (100-10(-5)) (5+0.25(5))
A
(150) (3.75) 2(158)
562.5 max revenue
X = # of
•25 chcrasse
E dood how
b = # of
burgers
made
increase of
25 ¢
*√
5 0.25=125
increase
pandset you
Transcribed Image Text:7. Howard's Hamburgers charges $5.00 per hamburger and sells on average 100 hamburgers per day. He finds that for each $0.25 price increase, he sells 10 fewer hamburgers. It costs Howard $2.00 to make each burger. Determine the price per hamburger Howard should charge in order to maximize his profits. ✓ -20 Profit = म (100) (5) = 2b = 7. - revenue - expenses (100-010x) (5 +0.25x) 7 -10x = -100 -10 -10 X = 10 5 19 Aos .. new price should •25 x = -5 25 be 5 -1.25 3.75 ↓ X=-20 725 = -5 e. -5 10+ (-20) 2 R (100-10(-5)) (5+0.25(5)) A (150) (3.75) 2(158) 562.5 max revenue X = # of •25 chcrasse E dood how b = # of burgers made increase of 25 ¢ *√ 5 0.25=125 increase pandset you
7. Howard's Hamburgers charges $5.00 per hamburger and sells on average 100
hamburgers per day. He finds that for each $0.25 price increase, he sells 10 fewer
hamburgers. It costs Howard $2.00 to make each burger. Determine the price per
hamburger Howard should charge in order to maximize his profits.
✓
-20
Profit =
म
(100) (5) = 2b =
7. -
revenue - expenses
(100-010x) (5 +0.25x)
7
-10x = -100
-10
-10
X = 10
5
19
Aos
.. new price should
•25 x = -5
25
be 5 -1.25 3.75
↓
X=-20
725
= -5
e. -5
10+ (-20)
2
R (100-10(-5)) (5+0.25(5))
A
(150) (3.75) 2(158)
562.5 max revenue
X = # of
•25 chcrasse
E dood how
b = # of
burgers
made
increase of
25 ¢
*√
5 0.25=125
increase
pandset you
Transcribed Image Text:7. Howard's Hamburgers charges $5.00 per hamburger and sells on average 100 hamburgers per day. He finds that for each $0.25 price increase, he sells 10 fewer hamburgers. It costs Howard $2.00 to make each burger. Determine the price per hamburger Howard should charge in order to maximize his profits. ✓ -20 Profit = म (100) (5) = 2b = 7. - revenue - expenses (100-010x) (5 +0.25x) 7 -10x = -100 -10 -10 X = 10 5 19 Aos .. new price should •25 x = -5 25 be 5 -1.25 3.75 ↓ X=-20 725 = -5 e. -5 10+ (-20) 2 R (100-10(-5)) (5+0.25(5)) A (150) (3.75) 2(158) 562.5 max revenue X = # of •25 chcrasse E dood how b = # of burgers made increase of 25 ¢ *√ 5 0.25=125 increase pandset you
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