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ecure https/www.mathxl.com/Student/PlayerHomeworkaspx?homeworkld-4696298818kques ath 2103 20121 2018S omework: 2.6 Marginals and ifferentials core: 0 of 1 pt us Econ 2.6.18 Save 7 of 14 (6 complete) HW Score: 50 98%, 867 Assigned Media | Question Help * 12x+300 The average cost for a company to produce x units of a product is given by the function A)X Use A (x) to estimate the change in average cost as production goes from 100 units to 101 units The change in average cost is approximately dollars Enter your answer in the answer box and then click Check Answer All parts showing 18 PMExplanation / Answer
A(x) = (12x+300)/x
=>A(x) = 12+(300/x)
differentiate with respect to x
=>A'(x) = 0-(300/x2)
=>A'(x) = -(300/x2)
when production geoesfrom 100 units to 101 units
=>A'(100) = -(300/1002)
=>A'(100) = -0.03
change ,A=|(A'(100))*(101-100)|
=> A=|-0.03*1|
=> A=0.03
The change in average cost is approximatrely 0.03 dollars
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