Math 157 questions

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. * Course Contents :9 :- Section 4.4 x: Derivatives: Related Rates Revenue Problem 4 G Timer j Notes mEvaluate Feedback a Print @Info A company is increasing productions at the late of 60 products per day. All items produced can be sold. The daily demand function is given by p = 120 - (#190 where q is the number of units produced [and sold) and p is the price in dollars. Find the rate of change of revenue with respect to time (in days) when the dail\\,Ir production is 380 units. Solution: The revenue function, R =qp= 120 q qA2f190 relates R and q. The rate of change ofq with respect to time (in days) is 60 v . The rate of change of revenue over time, , is to be found when .7: 330 . Differentiate both sides of the equation R = 120 q qAZHSD v with respect to v to get 120 2 g . die/Id _ my: dg/ar 1; aw Submit Answer -Tn'es 1,!'8 Previous Tries Now substitute the known values for q and to get 1: V 1: 4x v . aw mas 1/ Thus the revenue is increasing at the rate of I per day. Sume Answer Tries DIS