Use quadratic functions. Suppose that the cost function for a particular item is given by the equation C(x)=2x2−320x+12,920, where x represents the number of items. How many items should be produced to minimize the cost?

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Use quadratic functions. Suppose that the cost function for a particular item is given by the equation   C(x)=2x2−320x+12,920,   where x represents the number of items. How many items should be produced to minimize the cost?

breisgaoyz · Accepted Answer

Step 1  We have to use quadratic functions.  The cost function for a particular item is given by the equation  C(x)=2x2−320x+12,920  where, x represents the number of items.  We have to calculate how many items should be produced to minimize the cost?  Step 2  The cost function for a particular item is given by the equation  C(x)=2x2−320x+12,920  where, x represents the number of items.  For finding number of items for minimizing the cost  first we will differentiate it  C(x)=2x2−320x+12,920  differentiate with respect to x  C(x)=2×2x−320  [ddxxn=nxn−1]  C(x)=4x−320  put C(x)=0  4x−320=0  4x=320  Divide by 4 on both sides  x=80  So, 80 items should be produced to minimize the cost.

Use quadratic functions. Suppose that the cost function for a

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