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Firefox File Edit View History Bookmarks Tools Window Help 49% Mon 2:57 AM 10 Math 1325 Homework s x M Mathway l Math Problem s x C chegg study l Guided solu x extreme y 2.34x4x2)I28 x Search webassign, net /webl Student/Assignment-Responses/submi pos 0&dep; 15484216 fa Most Visited Q cl f Facebook M gmail GP MyLab M Inbox jolmsteedo.- M Mathway Y WebAssign Wolfram t kickass HH careers erence Ge.. Sy sy Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. 2. 0 points LarApCalc10 3.4.509,XP My Notes Ask Your Teacher The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is given by the following equation P- 1 s3 24s2 400 10 (a) Find the amount of money the company should spend on advertising in order to yield a maximum profit. (b) Find the point of diminishing returns. (s, P) Need Help? Read It Talk to a Tutor Submit Answer save Progress Practice Another Version View Previous Question Question 2 of 10 View Next Question Home My Assignments Extension Request WobAsoign 4.0 1997-2017 Advanood Instruotional Syatoma Inc. All rights reoorvod. 13

Explanation / Answer

given P=-(1/10)s3+24s2+400

a)dP/ds=-(3/10)s2+48s+0

dP/ds=-(3/10)s2+48s

d2P/ds2=-(3/5)s+48

for maximum profit dP/ds=0,d2P/ds2<0

-(3/10)s2+48s=0

s(-(3/10)s+48)=0

s=0, (3/10)s=48

s=0,s=160

for s=0, d2P/ds2=-0+48 >0

for s=160, d2P/ds2=-(3/5)*160+48 =-48<0

so 160 thousand dollars spent on advertising yields maximum profit

b)for  the point of diminishing returns. d2P/ds2=0

-(3/5)s+48 =0

s=48*5/3

s=80

P=-(1/10)803+24*802+400

P=102800

(s,P)=(80,102800)

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