1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anastaziya [24]
3 years ago
11

You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for

its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers has the linear form q = mp + b, where p is the price per hamburger, q is the demand in weekly sales, and m and b are certain constants you must determine.
Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales amount to 9000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero.
(A) Use these data to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers they sell at that price per week.
Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

The demabd function is:

q(p)= -4500p+18000

Step-by-step explanation:

The demand follow the linear equation q(p)=mp+b

1. When p=$2.00 and q=9000, the equation is:

9000=m(2.00)+b     (1)

2. Whe p=$4.00 and q=0, the equation is:

0=m(4.00)+b  (2)

3. Solve equation (1) for b:

9000=2m+b\\9000-2m=2m+2m+b\\9000-2m=b

4. Replace the value of b in equation (2)

0=4m+b\\0=4m+9000-2m\\0=2m+9000\\0-9000=2m+9000-9000\\-9000=2m\\\frac{-9000}{2m}=\frac{2m}{2m}\\ -4500=m

The value of m is 4500

5. Calculate b, replacing m:

0=4m+b\\\\0=4(-4500)+b\\0=-18000+b\\18000=b

The value of b is 18000

You might be interested in
What is the answer to this question (3x3)+7-7=
exis [7]

Answer:

9

Step-by-step explanation:

Assuming x is the multiplication symbol, you would multiply 3 and the other 3 together. This leaves you with 9+7-7. Since 7-7=0 you can just get rid of both sevens completely. Now you are only left with 9.

6 0
3 years ago
Read 2 more answers
Here you go the brainless
Mrac [35]
m= \frac{y_1-y_2}{x_1-x_2}  \\ m= \frac{4-(-1)}{-4-1 } \\ m= \frac{5}{-5} \\ m=-1
4 0
3 years ago
What is the surface area of a box that is 6 by 4 inches
san4es73 [151]

Answer:

The surface area of a box that is 6 by 4 inches is 24in²

6 0
2 years ago
Read 2 more answers
Write an equation fo the line that passrs through (4,-5) and (3,-2)
kap26 [50]
D is the correct answer luv
7 0
3 years ago
12x + 2y = 112<br> What does x equal???<br> What does y equal???
Schach [20]
12x+2y=112
6x+y=56
6x=56-y

x=(56-y)/6
y=(56-6x)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x and y (x+yi) + ( 4+9i) = 9-4i
    13·1 answer
  • 27 less than twice a number is negative 1
    9·1 answer
  • 18/30 reduce into fraction
    6·1 answer
  • The multiplication property of equality could be used to solve which of the following equations?
    7·2 answers
  • 1.2357 is a whole number or interger number?
    7·1 answer
  • 7
    5·2 answers
  • Skip count by 1/2 its for a quiz its due tomorrow 11/5/2020 HELP
    5·2 answers
  • Can someone help? Awnsers <br> A. 7:10<br> B. 7/17<br> C.10 to 7<br> D. 10:17<br><br> Thankyou!
    11·1 answer
  • What is 2+2 .........​
    13·1 answer
  • PLS HELP!<br> solve by completing the square<br> x²+4x=8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!