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Elodia [21]
3 years ago
6

Solve the problem.

Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer:

2 dogs

Step-by-step explanation:

2 dogs at 1st plus 7 dogs added equals 9

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Hi, can you help me with this problem?A manufacturer has a monthly fixed cost of $42,500 and a production cost of $6 for each un
Reika [66]

Given:

Fixed cost = b = $ 42,500

Production cost (Variable cost) /unit = m = $ 6/ unit

Let 'x' represent the number of unit, therefore the variable cost will be

6x

a) The cost function will be the sum of the fixed cost and the variable cost.

C(x)=6x+42500

b) The revenue function is the amount the product is sold per unit.

Recall: 'x' represents the number of units.

Therefore,

11\times x=11x

Hence, the revenue function R(x) is

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c) The profit function is the difference between the revenue function and the cost function.

P\mleft(x\mright)=11x-\mleft(425000+6x\mright)=5x-42500

Hence, the profit function is

P\mleft(x\mright)=5x-42500

d) Let us compute the profit (loss) values when the units are 6000 and 11000

Using the profit function

P(x)=5x-42500

Therefore,

\begin{gathered} P(6000)=5(6000)-42500=30000-42500=-\text{ \$12500} \\ P(11000)=5(11000)-42500=55000-42500=\text{ \$12500} \end{gathered}

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\begin{gathered} P(6000)=-\text{ \$12500  (which is a loss)} \\ P(11000)=\text{ \$12500  (this is a profit)} \end{gathered}

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3 years ago
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to make a profi
11111nata11111 [884]

Answer:

Bruce needs to sell 267 widgets each month to make a profit.

Step-by-step explanation:

From the information given, you can write that the cost of the monthly rent plus the cost  in labor and materials to make each widget for the number of widgets is equal to the amount of sales:

10x +4000 = 25x

Now, you can solve for x:

4000 =25x-10x

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According to this, the answer is that Bruce needs to sell 267 widgets each month to make a profit.

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