Question

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?

Answer 1

Answer:

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

Step-by-step explanation:

Given : $C(a)=7500a-1500$, $M(C)=0.9C- 50$  and  $M(C(a))=6750a-1400$

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

Solution :  

$C(a)=7500a-1500$

Substitute a=1.5,

$C(1.5)=7500(1.5)-1500$

$C(1.5)=11250-1500$

$C(1.5)=9750$

Now, taking function $M(C)=0.9C- 50$

Substitute C=9750,

$M(9750)=0.9(9750)- 50$

$M(9750)=8775- 50$

$M(9750)=8725$

Now, taking function $M(C(a))=6750a-1400$

Substitute a=1.5,

$M(C(1.5))=6750(1.5)-1400$

$M(C(1.5))=10125-1400$

$M(C(1.5))=8725$

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