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ad-work [718]
3 years ago
10

A company manufactures and sells novelty mugs.The manufacturing costs consists of a fixed cost of R8 000 and a variable cost of

R 15.00 per mug. The mugs are sold at R35. 00 each. Assume a linear profit function.
Determine the profit function.
What is the Break-even level?
Draw a graph depicting the profit function.
Mathematics
1 answer:
Sauron [17]3 years ago
4 0
Ok so

8000=cost
profit-8000
then
another cost is 15rand per mug
but profit of 35 rand
35-15=20
profit of 20rand per mug

profit=R20m-R8000
where m=number of mugs sold
(R20 means 20 rand)


f(m)=R20m-R8000

break even means cost=earned
basically, when profit=0
0=R20m-R8000
add 8000 to both sides
R8000=R20m
divide both sides by 20
400=m

break even is 400 mugs


graph should be easy enough
put a point at (0,-8000) and at (400,0) then connect them



profit
f(x)=R20x-R8000
break even is 400 mugs

put points (0,-8000) and (400,0) and connect them
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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she
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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Answer:

the amount of water the student have left in the bottle is 250 milliliters

Step-by-step explanation:

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Before the soccer practice, she drank 25 % of the water

25% of the water = 25% of 500

                             = 25% × 500

                              =\frac{25}{100} ×  500

At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;

                                = 25 × 5

                                 =125

25% of the water = 125 milliliters

From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.

If she drank 125 milliliters of  from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml

This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.

After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375

1/3 of 375 = \frac{1}{3} × 375 = \frac{375}{3} = 125

After the practice she drank 125 milliliters of water from her 375 milliliters water.

The amount of water she have left after the practice will be;

375 milliliters - 125 milliliters = 250 milliliters

Therefore, the amount of water the student have left in the bottle is 250 milliliters

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