A company manufactures and sells novelty mugs. The manufacturing costs consists of a fixed cost of R8000 AND A VARIABLE COST OF R15.00 per mug. The mugs are sold at R35 each. Assume a linear profit function.1. Determine the profit function.
2. What is the break-even level.
3. Draw a graph depicting a profit function.
Answers
Manufacturing cost : fixed cost = 8,000 ; variable cost = 15 per mug
Selling Price: 35 per mug
Let x be the number of mugs.
Sales Revenue = 35x
Manufacturing Cost = 8,000 + 15x
Profit = Sales Revenue - Manufacturing Cost
P = 35x - 8,000 - 15x
P = 20x - 8,000
Break even level: Profit is 0
Sales Revenue = Manufacturing cost
35x = 8,000 + 15x
35x - 15x = 8000
20x = 8000
x = 8000/20
x = 400
Company must produce at least 400 mugs to break even or have 0 profit. Quantity greater than 400 will result to a profit while quantity lesser than 400 will result to a loss.
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Can you please show me how to do: 6 square root 3 Times Square root 3 over 3. It would be really great if you could show me all the steps on how to do it.
Answers
The student has an average of 76 on his first 5 quizzes. Remember that average is also known as mean. Mean is calculated by adding the values in a data set and dividing it by the amount of numbers you added.
In this case,the mean is 76. That means five numbers were added and divided by 5 and the quotient was 76.
You can find the dividend by cross multiplying.
The total points he got on his first 5 quizzes was 380.
If he wants to boost his average grade up to an 8 after taking another 5 quizzes, you need to multiply his average goal by the amount of quizzes, which is 10(5+5=10).
His total points after taking all his quizzes(that is, if he reached his goal) should be 800. Because he already took 5 quizzes and got a total score of 380, you're going to subtract 380 from 800 and divide it by the remaining quizzes left, which is 5.
First subtract 380 from 800:
That means his next 5 quizzes need to sum up to a total of 420 points. Since you're trying to find the average of his next 5 quizzes in order to average up to an 80, you need to divide 420 by 5(number of remaining quizzes).
Divide:
Your answer is 84(84%).
-4x+7y=-4
Answers
B) -4x+7y=-4
Adding the 2 equations
14y = 56
y = 4
A) 4x+7*4=60
A) 4x+28=60
A) 4x = 32
x = 8
You see seven sisters standing around the kitchen table. Every sister has her own backpack. In each backpack there are seven large cats. And guess what! For every big cat there are also seven small kittens. The question is – how many legs are in the room?
Answers
Also, the table has 4 legs
The number of the big cats is 7 *7 =49 (big cats)
For every big cat we have ---> 49 * 4= 196 legs
For every big cat we have 7 small cats which means --> 49 * 7= 343 (small kittens)
The number of legs for small kittens is 343 * 4 = 1372 legs
The number of legs is:
14+4+196+1372= 1586 legs are in total
7 backpacks * 7 (1big cats +7 kittens): 1568 legs (assuming 4 legs each)
1 table: 4 legs
total: 14+1568+4 = 1586 legs
Answers
35% of boys are on the honor roll, so 35% of 55% are on the honor roll.
40% of girls are on the honor roll, so 40% of 45% are on the honor roll.
So now we need to find each of those numbers...
35% of 55% =
.35 * .55 = .1925 multiply by 100 to convert to percent
19.25% of boys (in the student body) are on honor roll
40% of 45% =
.40 * .45 = .18 multiply by 100 to convert to percentage
18% of girls (in the student body) are on honor roll
Add the two together to get the total percentage of student body that is on the honor roll...
19.25% + 18% = 37.25%
Round to the nearest percent
37%
35% of 55% is equal to the percent of boys on honor roll in the student body.
100 - 55 = 45%, which is the percent of girls in the student body.
40% of 45% is equal to the percent of girls on honor roll in the student body.
35% * 55% = 19.25%
40% * 45% = 18%
Adding them up, we get:
19.25 + 18 = 37.25%
Round it to the nearest percent.
37.25 --> 37%
Rounded to the nearest percent, 37% of the student body is on honor roll.
Answers
as long as the number next to the one is less than five it will become 10.1
Answers
The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).
What is perimeter?
Perimeter is the sum of length of the sides used to made the given figure.
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
WE need to find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Area = (2x - 7) * (3*2 + 4x)
Area = (2x - 7) * (6 + 4x)
Area = 8x - 42
The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).
Learn more about perimeter here:
#SPJ2
Answer:
Perimeter: 2(2x - 7) + 2(3*2 + 4x)
Step-by-step explanation:
Area: (2x - 7) * (3*2 + 4x)
(2x - 7) * (6 + 4x)
8x-42
Perimeter: 2(2x - 7) + 2(3*2 + 4x)