The average cost per unit for the production of a certain...

The average cost per unit for the production of a certain brand of DVD player is given by C̅ = (400 + 50x + 0.01x^2) / x, where x is the number of units produced. (a) What is the average cost per unit when 500 units are produced? $ Enter your response here (Type an integer or a decimal rounded to two decimal places as needed.)

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00:01 Hi, from the question given that, consider the average cost per unit for the production of a certain brand of dvd player is given by average cost c bar of x is equal to 500 plus 60x plus 0 .01x square divided by x where x is the number of unit produced.

00:28 So in part a, we need to find the average cost per unit when 500 units are produced.

00:34 So if x is equal to 500, then we need to find c bar of 500.

00:40 So that is equal to 500 plus 60 times of 500 plus 0 .01 times of 500 the whole square divided by 500.

00:53 So that is equal to 33 ,000 divided by 500 which is equal to 66.

01:03 Hence c bar of 500 that is average cost when the 500 units are produced will be 66.

01:15 Now this is in dollar.

01:19 Now, let us move on to part b.

01:21 So part b we need to find the average cost when 70 units are produced.

01:25 So x is equal to 70.

01:27 So c bar of 70 is equal to 500 plus 60 times of 70 plus 0 .01 times of 70 square divided by 70.

01:42 So c bar of 70 that is average cost when 70 units are produced will be dollar 67 .84.

01:52 Now, let us move on to part c.

01:53 So part c we need to find the average cost when x is equal to 100 that is 100 units are produced.

02:01 So c bar of 100 is equal to 500 plus 60 times of 100 plus 0 .01 times of 100 square divided by 100...

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