Answer:
The maximum revenue Carmelo can make is $17.25.
Explanation:
Hockey cards, x, sell for $0.03 and baseball cards, y, sell for $0.05.
The number of hockey cards Carmelo sells is at least six times the number of baseball cards he sells. There are at most 525 cards to sell.
Set of equations are :
.....(1)
......(2)
Substituting x=6y in the second equation.
=>
![6y+y = 525](https://img.qammunity.org/2019/formulas/mathematics/high-school/wtcm9g3j3ld38npigr4i4yuvrsh7c9tgjq.png)
=>
![7y=525](https://img.qammunity.org/2019/formulas/mathematics/high-school/fv7gasz23wwkfeukegq5iozjdko3ufql4n.png)
y = 75
And we know x = 6y; so
![x=6(75)](https://img.qammunity.org/2019/formulas/mathematics/high-school/xiyw9wkfgs6ceehszb0bq2ju6lv85zyp0e.png)
x = 450
Total revenue =
![(450*0.03)+ (75*0.05)](https://img.qammunity.org/2019/formulas/mathematics/high-school/rp55fwxvonfg74lrcbukhrlo1ha8kzge12.png)
=
![13.50+3.75](https://img.qammunity.org/2019/formulas/mathematics/high-school/fwl6kfvzan653al6kq2s75efsc8hnbjjdo.png)
= $17.25
Hence, the maximum revenue Carmelo can make is $17.25.