Math

QuestionFind the average cost per item for manufacturing 90 items if C=600+30xC=600+30x.

Studdy Solution

STEP 1

Assumptions1. The cost function is given by C=600+30xC=600+30x, where xx is the number of items produced. . We need to find the average cost per item for producing90 items.

STEP 2

First, we need to find the total cost to produce90 items. We can do this by plugging x=90x=90 into the cost function.
C=600+30×90C =600 +30 \times90

STEP 3

Calculate the total cost.
C=600+30×90=3300C =600 +30 \times90 =3300

STEP 4

Now that we have the total cost, we can find the average cost per item by dividing the total cost by the number of items (90).
Averagecostperitem=Totalcost/NumberofitemsAverage\, cost\, per\, item = Total\, cost / Number\, of\, items

STEP 5

Plug in the values for the total cost and the number of items to calculate the average cost per item.
Averagecostperitem=3300/90Average\, cost\, per\, item =3300 /90

STEP 6

Calculate the average cost per item.
Averagecostperitem=3300/90=36.67Average\, cost\, per\, item =3300 /90 =36.67The average cost to produce one item is approximately $36.67.

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