Question

The weekly revenue of a business selling gummy bear bags is a continuous function of price. Weekly revenue is $7,608 when the price per is $1.70 and the growth rate is 6%. Revenue is changing exponentially. What will revenue be when the price is $4.90 (hint: solver!) Weekly Revenue = $ (nearest $10) How fast revenue be changing when the price is $4.90 Revenue Rate = Select an answer $1$=unitless (nearest 1) (hint: this answer comes quickly from the last if you can know how to take the derivative of a continuous exponential!)

Answer 1

Q. exponential As weekly R=7608 for Revenue is P = 1.7 R =1 Y - 61 To find, i P- 4.9 solution: Assume Revenue function i-e R(P) 8P Ae r Groneth rate si where p is price, A Put the ginen values to As RCP) 7608 constant get CA when P= 1.7 r= 6-1. 7608 А е. by lo7 Lontoo 7600 xe A А = 6870.25 D106P 6870.25 e so RLP) Now put P = 4.9 R(4.a) 0.06x4.9 R(4.9) 6870.25 е. R(6:9) AHAS ANS. $19218.39 for P=$4.9 How fast Renense is changing R'(P) for P = 4.9 i.e 0.06P 6870.25 e R(P) Soo 0.06 orabe 6870.25 x 0.06 0.06P R'(P) R'CP) 412.212 e put P = 4.9 006* 4.9 RLP) = 412.212 e I R(4.9) = $53.10 unit less. Ang