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yan [13]
3 years ago
7

A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the

factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $980 each week. What is the inequality for the number of backpacks ,x, that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal? Also give a statement.
Mathematics
2 answers:
Galina-37 [17]3 years ago
6 0
980= (40-10)x - 12000= amount of PROFIT
12,980 = 30x; divide both sides by 30; and you get x=432.67
So the company would need to sell at least 433 backpacks to make a profit of at least 980 per week
Hatshy [7]3 years ago
4 0

Answer: x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

<em>Profit = revenue- cost </em>

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

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<span>The answer is:  16 .
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Explanation:
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3 years ago
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at a zoo 3 pandas eat a total of 181.5 pounds of bamboo shoots each day. the male eats 3 times as much as the baby. the female e
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At a zoo it has been found that the total amount of bamboo shoots eaten by 3 pandas in a day is 181.5 pounds. Also it is given that the male panda eats 3 times as that of the baby panda and the female panda eats 2 times as that of the baby panda.
Let us assume that the amount of bamboo shoot eaten by the baby panda in a day = X
The amount of bamboo shoots eaten by the male panda in a day = 3X
Amount of bamboo shoots eaten by the female panda in a day = 2X
Then
X + 3X + 2X = 181.5
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The amount of bamboo shoots eaten by the female panda in a single day = 2 * 30.25
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3 0
3 years ago
Follow this link to view juan’s work. critique juan’s work by justifying correct solutions and by explaining any errors he made.
AlladinOne [14]

Answer:

Step-by-step explanation:

Let the exponential function given in the picture is,

f(x) = a(b)ˣ

Here, a = Initial value

b = Base value

x = Exponent

Since, the graph passes through the points (0, 1) and (1, 3)

For (0, 1),

1 = a(b)⁰

a = 1

For (1, 3),

3 = 1(b)¹

b = 3

Therefore, equation of the given function will be,

f(x) = (3)ˣ

Therefore, Initial value = 1

Base = 3

Asymptote (Horizontal) → y = 0

Vertical asymptote → None

Domain → (-∞, ∞) Or {x | x ∈ R}

Range → (0, ∞) Or {y | y > 0}

Therefore, answers given by Juan are incorrect.

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3 years ago
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