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Using the functions presented in the example, how much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

For reference: C(a) = 7500a - 1500C(a)=7500a−1500C, left parenthesis, a, right parenthesis, equals, 7500, a, minus, 1500, M(c) = 0.9c - 50M(c)=0.9c−50M, left parenthesis, c, right parenthesis, equals, 0, point, 9, c, minus, 50 and M(C(a))=6750a-1400M(C(a))=6750a−1400

Respuesta :

Answer:

Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

Step-by-step explanation:

Given : [tex]C(a)=7500a-1500[/tex], [tex]M(C)=0.9C- 50[/tex]  and  [tex]M(C(a))=6750a-1400[/tex]

To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

Solution :  

[tex]C(a)=7500a-1500[/tex]

Substitute a=1.5,

[tex]C(1.5)=7500(1.5)-1500[/tex]

[tex]C(1.5)=11250-1500[/tex]

[tex]C(1.5)=9750[/tex]

Now, taking function [tex]M(C)=0.9C- 50[/tex]

Substitute C=9750,

[tex]M(9750)=0.9(9750)- 50[/tex]

[tex]M(9750)=8775- 50[/tex]

[tex]M(9750)=8725[/tex]

Now, taking function [tex]M(C(a))=6750a-1400[/tex]

Substitute a=1.5,

[tex]M(C(1.5))=6750(1.5)-1400[/tex]

[tex]M(C(1.5))=10125-1400[/tex]

[tex]M(C(1.5))=8725[/tex]

Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.