Kwesi sells Swiss rolls, where his company's finance department has established a weekly relationship between its Revenue R, in dollars and the number of rolls x, as R=x(78-x) (a) Write the revenue R, in the form R=ax²+bx +c (b) What is the revenue when 55 rolls are sold? (c) Explain why the graph of R has a maximum.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Kwesi sells Swiss rolls, where his company's finance department has established a weekly
relationship between its Revenue R, in dollars and the number of rolls x, as
R=x(78-x)
(a) Write the revenue R, in the form
R=ax?+bx +c
(b) What is the revenue when 55 rolls are sold?
(c) Explain why the graph of R has a maximum.
(d) Write R in the form a(x-h)²+k
(e) How many rolls must be sold for Kwesi to achieve his maximum revenue?
(f) State the company's maximum revenue.
(g) Complete the following table of values and graph the Revenue equation using the ordered pairs
(x, R). Label the coordinates of the vertex.
10
20
30
40
50
60
70
80
R
Transcribed Image Text:Kwesi sells Swiss rolls, where his company's finance department has established a weekly relationship between its Revenue R, in dollars and the number of rolls x, as R=x(78-x) (a) Write the revenue R, in the form R=ax?+bx +c (b) What is the revenue when 55 rolls are sold? (c) Explain why the graph of R has a maximum. (d) Write R in the form a(x-h)²+k (e) How many rolls must be sold for Kwesi to achieve his maximum revenue? (f) State the company's maximum revenue. (g) Complete the following table of values and graph the Revenue equation using the ordered pairs (x, R). Label the coordinates of the vertex. 10 20 30 40 50 60 70 80 R
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