A manufacturer has a monthly fixed cost of $40,000 and a product cost of $8 for each unit produced. The products sells for $12/unit.

Answer:

48,000

Step-by-step explanation:

The cost function by the given data is C(x) = 40,000 + 8x.

We are given that;

Monthly fixed cost = $40,000

The product cost for each unit produced= $8

Now,

The cost function is a function that gives the total cost of producing a certain number of units. The cost function depends on the fixed cost and the variable cost per unit. The fixed cost is the amount of money that the manufacturer has to pay regardless of how many units are produced, such as rent, salaries, utilities, etc. The variable cost per unit is the amount of money that the manufacturer has to pay for each unit produced, such as materials, labor, etc.

In this case, the fixed cost is $40,000 and the variable cost per unit is $8. To find the cost function, we need to add the fixed cost and the product of the variable cost per unit and the number of units.

We can use x to represent the number of units and C(x) to represent the cost function.

Then we have:

C(x) = fixed cost + (variable cost per unit)(number of units)

C(x) = 40,000 + (8)(x)

Therefore, by algebra the answer will be C(x) = 40,000 + 8x.

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