A company's cost is given by the function C(x)=3.4x+18625 and their revenue is given by the function R(x) = -0.0035x? +82x-418.5, where x represents the number of units produced and sold. 52. Write a function, P(x), that represents the company's profit. A) P(x)=-0.0035x² +85.4x-18206.5 C) P(x) =-0.0035x² + 78.6x – 19043.5 B) P(x) =0.0035x -78.6x +19043.5 D) P(x)=0.0035x +85.4x+18206.5 53. What is the company's profit if they produce and sell 8000 units? A) $440,993.50 B) $871,843.50 C) $925,406.50 D) $385,756.50

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ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
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A company's cost is given by the functionC(x)=3.4x+18625 and their revenue is given by the
function R(x) =-0.0035x +82x-418.5, where x represents the number of units produced and
sold.
52. Write a function, P(x), that represents the company's profit.
A) P(x) =-0.0035x² +85.4x -18206.5
C) P(x)=-0.0035x² +78.6x – 19043.5
B) P(x) =0.0035x' – 78.6x+19043.5
D) P(x) = 0.0035x² +85.4x+18206.5
53. What is the company's profit if they produce and sell 8000 units?
A) $440,993.50
B) $871,843.50
C) $925,406.50
D) $385,756.50
Mike's monthly income can be modeled by the function m(x)=0.08x+2000 and Amy's
monthly income can be modeled by the function a(x) =0.05x+2250, where x is the amount of
sales for the month.
54. Write a function, c(x), that represents Mike and Amy's combined monthly income.
A) c(x)=0.03x+250
B) c(x)=0.03x+2450
C) c(x) =0.013x+4250
D) c(x)=0.13x+4250
55. What is their combined monthly income if sales for the month are $24,500?
A) $985.00
B) $7435.00
C) $4568.50
D) $3185.00
GSE Algebra IIA Week 6
Page 24 of 27
Transcribed Image Text:A company's cost is given by the functionC(x)=3.4x+18625 and their revenue is given by the function R(x) =-0.0035x +82x-418.5, where x represents the number of units produced and sold. 52. Write a function, P(x), that represents the company's profit. A) P(x) =-0.0035x² +85.4x -18206.5 C) P(x)=-0.0035x² +78.6x – 19043.5 B) P(x) =0.0035x' – 78.6x+19043.5 D) P(x) = 0.0035x² +85.4x+18206.5 53. What is the company's profit if they produce and sell 8000 units? A) $440,993.50 B) $871,843.50 C) $925,406.50 D) $385,756.50 Mike's monthly income can be modeled by the function m(x)=0.08x+2000 and Amy's monthly income can be modeled by the function a(x) =0.05x+2250, where x is the amount of sales for the month. 54. Write a function, c(x), that represents Mike and Amy's combined monthly income. A) c(x)=0.03x+250 B) c(x)=0.03x+2450 C) c(x) =0.013x+4250 D) c(x)=0.13x+4250 55. What is their combined monthly income if sales for the month are $24,500? A) $985.00 B) $7435.00 C) $4568.50 D) $3185.00 GSE Algebra IIA Week 6 Page 24 of 27
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Cost function is :

C(x)=3.4x + 18625

Revenue function is :

R(x)=-0.0035x2+ 82x -418.5

We need to find out :

56.  Profit function P(x)

57.  Profit when company sells 800 units 

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