The average cost of DVD in dollars for a company to produce x DVDs on exercising

Question

The average cost of DVD in dollars for a company to produce x DVDs on exercising is given by the formula; A= 3x+300/x, where A is the average cost per DVD, and x is the number of DVDs produced. The cost for producing 1 DVD is? The average cost for 100 DVDs is ? Does the cost per DVD decrease or increase? The average cost of DVD in dollars for a company to produce x DVDs on exercising is given by the formula; A= 3x+300/x, where A is the average cost per DVD, and x is the number of DVDs produced. The cost for producing 1 DVD is? The average cost for 100 DVDs is ? Does the cost per DVD decrease or increase? The cost for producing 1 DVD is? The average cost for 100 DVDs is ? Does the cost per DVD decrease or increase?

Explanation / Answer

Given that

A = (3x + 300)/x

1 ) The cost for producing 1 DVD is ,

C = 3x + 300

C = 3(1) + 300

C = 303

Therefore ,

  The cost for producing 1 DVD = 303 dollars

2 )The average cost for 100 DVDs is ,

x = 100

A = [ 3(100) + 300 ]/100

= 600/100

A = 6

Therefore ,

  The average cost for 100 DVDs = 6 dollars

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