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Further applications of differentiation — Question 272

Original QCE Vault practice · 5 marks

Q272 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 272 (5 marks)

A pop-up shop models its hourly sales rate by

R(t)=60te^{-t}

for

0\leq t\leq5

, where

t

is hours after opening and

R

is items per hour.

Sales-rate graph R(t)=60t exp(-t) on [0,5], rising from zero to a peak then decreasing.

a)

Determine the time and value of the maximum sales rate.

[3 marks]

b)

Determine the time of the point of inflection of

R

.

[2 marks]

Question linkSyllabus coverage

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