A company spends $4000 to set up the manufacturing line for a fastener. The cost to produce each fastener is $4.75. Estimate how many fasteners must be produced for the average cost of the fastener to fall to $19.25.

Respuesta :

The number of fasteners the company must produce is 276.

How many fasteners must the company produce?

Average cost is the sum of the average fixed cost and average variable cosy.

Average cost = average fixed cost + average variable cost.

19.25 = (4000 /q) + 4.75

Where q = number of fasteners

In order to determine the value of q, take the following steps:

Combine and add similar terms

19.25 - 4.75 = 4000/q

14.5 = 4000/q

Multiply both sides by q

14.5q = 4000

Divide both sides by 14.5

q = 276

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