Derivatives

QUESTION 6 lfvou are given a function pm) that is described as the demand for q items and you are asked to nd out ifthe revenue is increasing or decreasing when q: 2, which of the following should you do? Q plug 2 into the p (or) function and say "increasing" it the answer is positive and sayr "decreasing" if the answer is negative. Q plug 2 into the derivative of p (q) and sayr "increasing" if the answer is positive and say "decreasing" if the answer is negative. '0' Multiply p(q) by q and then plug in 2 and say "increasing" it the answer is positive and say "decreasing" if the answer is negative if) Multiply FUJI) by q to get the revenue function. take a derivative. and then plug in 2 and say "increasing" it the answer is positive and sayr "decreasing" if the answer is negative. QUESTION 7 lfyou are given Pfq) that is described as the prot in dollars for q items and you find that P'{3]=42. which of the following is the correct marginal prot interpretation? 6:)- a. The 4th item yields a prot of approximately $42. b.The 4th item yields a marginal profit of approximately $42. (Z)- c. When 3 items are sold the prot is 842 -.' ,- d.The prot for the 3rd item is $42 per item QUESTION 8 lfyou are given a function Rm) that is described as the revenue for 5; items sold and you nd that R'(6)=97. what is the proper IRC (instantaneous rate of change) interpretation? Q When 5 items are sold. the revenue is increasing at a rate of 397 per item Q When 5 items are sold, the revenue is$9? Q When 5 items are sold. the instantaneous rate of change is 597. r. ) When 6 items are sold. the revenue is increasing by $97