Not secure \\ www.webassi ep 18412732 iS points BertApCakcErT 3.4.005 Your Rent-

Question

Not secure www.webassi ep 18412732 iS points BertApCakcErT 3.4.005 Your Rent-A-Reck Incorporated finds that it can rent 40 cars if it charges $80 for a weekend. It estimates that for each $5 price increase it will r $5 price increase it will rent two fewer cars. What price should it charge to maximize its revenue? How many cars will it rent at this price? O Show My Work Optional points 3.5015 The reproduction function for king salmon in a sea is p+9.5p, where p and Kp) are in thousand metric tons. Find the population that g'ves the masimum sustainable yield, and the size of the yield. population size of the yield thousand metric tons thousand metric tons o Show My Work o My Notes As Your O Type here to search F9 F10 FI Sys Brea

Explanation / Answer

Given two points are (40, 80) and (38, 85)

slope=(85-80)/(38-40) = 5/-2 =-5/2

hence

p-80=(-5/2)(x-40)

p=(-5/2)x+ 180

Find revenue as

R=x*p

=(-5/2)x²+ 180x

next

R'= -5x+180=0

x=180/5=36

hence

p=(-5/2)*36+ 180 =90

Thus

price should it charge to maximize its revenue is $90

cars will it rent at this price is 36 cars

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