Homework SourseThe total costin dollars of manufacturing x auto body frames
The total cost(in dollars) of manufacturing x auto body frames is C(x) = 40,000+300x
a.) Find the average cost per unit if 500 frames are produced
b.) Find the average value of the cost function over the interval [0,500]
c.) What is the average cost per unit at a production level of 500 units? 380 or 115,000?
d.) what is the average value of the total cost as production increases from 0 to 500 units?? 380 or 115,000?
a.) Find the average cost per unit if 500 frames are produced
b.) Find the average value of the cost function over the interval [0,500]
c.) What is the average cost per unit at a production level of 500 units? 380 or 115,000?
d.) what is the average value of the total cost as production increases from 0 to 500 units?? 380 or 115,000?
Solution
a).C(x) = 40,000+300x for 500 frames C(500)=40000+150000=190000 thus avg cost per frame=190000/500=380$ b)C(x) = 40,000+300x integrate avg value of cost function=[integral[40000 +300x]dx(from 0 to 500)]/500 =[40000x +150 x^2](from 0 to 500)]/500 =57500000/500 =115000$ c).at production level the avg cost per unit is 380$ d).average value of the total cost as production increases from 0 to 500 units is 11500$
