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Genrish500 [490]
3 years ago
14

Can i get the answers for this page

Mathematics
1 answer:
Finger [1]3 years ago
8 0
The first 1-4 u have to graph it your self
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A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s
ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

From the question, we have:

Plates = 300

Price = 20

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}

The slope (m) is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

So, we have:

m = \frac{25-20}{290-300}

m = \frac{5}{-10}

m = -\frac{1}{2}

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

R(x) = (300 - 10x) \times (20 + 5x)

Open the brackets to calculate the maximum revenue

R(x) =6000 + 1500x - 200x - 50x^2

R(x) =6000 + 1300x - 50x^2

Equate to 0

6000 + 1300x - 50x^2 =0

Differentiate with respect to x

1300 - 100x =0

Collect like terms

100x =1300

Divide by 100

x =13

So, the price at maximum revenue is:

Price= 20 + 5x

Price= 20 + 5 * 13

Price= 85

In conclusion:

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

3 0
3 years ago
Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two clas
azamat

Answer:

  15

Step-by-step explanation:

Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...

  2x +5(27 -x) = 90

  -3x = 90 -135 . . . . subtract 135

  x = -45/-3 = 15 . . . divide by -3

Rob had 15 algebra problems for homework.

8 0
3 years ago
Read 2 more answers
A store sold $115.50 worth of coffee mugs. how many mugs did they sell? at3.50 per mug
Anna007 [38]
Total÷price each=amount sold
$115.50÷$3.50=33
The store sold 33 mugs
4 0
3 years ago
Wendy is comparing two checking accounts. One has a monthly fee of $9 and a per-check fee of $0.50, and the other has a monthly
4vir4ik [10]

81 - - -- - - -- - - -

7 0
3 years ago
Read 2 more answers
The sum of two numbers is 92 their difference is 20 find the numbers
Ira Lisetskai [31]
92 - 20 = 72
72 / 2 = 36
36 + 20 = 56 
36 + 56 = 92

So 36 and 56 are your answer

6 0
3 years ago
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