Using an interval of width 0.1, the average rate of change (AROC) of P (x) = 0.8

Question

Using an interval of width 0.1, the average rate of change (AROC) of P (x) = 0.8^x at x = 5 could be given by which of the following? The plot below gives of the marginal cost, C' (x), and marginal revenue, R'(x), of a small business. Which of the following gives the nesses change in profit over the interval [6,8]? For the following question show all your work. Make sure your answers include any relevant units. No credit will be given for answers without the appropriate amount of work shown First. Lady Michelle Obama is building a fence for a new' garden at the White House. Three sides of the enclosure will be made up beautiful lattice fencing material and the fourth side will be the wall of the White House. Given that she has 200 feet of fencing material available what is the largest area she can enclose? You may assume the White House wall is as long as needed. Clearly show all your work and your answer in a complete sentence with units.

Explanation / Answer

14) average rate of change at x= 5 = [p(5.1) -p(5)] /(5.1 -5)

average rate of change = [0.85.1 -0.85] /(5.1 -5)

15) change in cost =(12000*8000-10000*6000)=36000000

change in revenue =(10000*8000-6000*6000)=44000000

change in profit =change in revenue-change in cost

change in profit =44000000-36000000=8000000

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