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A. Package A: Php 8,000.00
B. Package B: Php 16,000.00
C. Package C: Php 32,000.00
D. Package D: Php 48,000.00​

Answer 1

Given : A drugstore that sells a certain brand of vitamin capsule  

profit P (in pesos) is given by P = -50x³ + 2400x7² - 2000, 0 ≤ x ≤ 32

x is the amount spent on advertising in thousands of pesos

To Find :  Which of these packages will yield the highest revenue

for the company?

A. Package A: Php 8,000.00

B. Package B: Php 16,000.00

C. Package C: Php 32,000.00

D. Package D: Php 48,000.00

Solution:

Revenue =  Profit +  Advertising cost

Profit = -50x³ + 2400x² - 2000

Revenue R =  -50x³ + 2400x² - 2000   + x

x is in thousands   Hence

Package A8000  , x = 8  ,

Package B 16000 , x = 16 ,

Package C  32000  x =  32 ,

Package D  ,  48000 , x  = 48

Substituting values

x      R =  -50x³ + 2400x² - 2000   + x

8 126008

16 407616

32  817232

48 -1952

32000 Package C  will yield the highest revenue for the company

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