A cosmetic company is planning the introduction and promotion of a new lipstick line. The marketing research department, after test marketing the new line in a carefully selected large city, found that the weekly revenue in that city is given approximately by

R(x)=10xe^(-x) 0≤x≤2,

where x thousand lipsticks were sold per week.

a. Find the average rate of change of the weekly revenue in the interval [0.5, 1.5]. Interpret your result.

b. Find R'(0.8) and interpret the result.

c. Find R'(1.2) and compare your result with what you found in part (b). What can be said about weekly revenue at these two x-values?

Answer rating: 100% (QA)

Given that Rx 10x ex loxe Average rate of change 11 R15 R 05 1505 10 15 e 10 ... View the full answer