The Spirit Shop has stores at three locations, and they obtain Homecoming sweatshirts fr...

The Spirit Shop has stores at three locations, and they obtain Homecoming sweatshirts from two suppliers, Sweats-Plus and Imprint-Sweats. During Homecoming Week, Spirit Shop makes the following order:

(a) Find a system of equations that represents how the orders may be filled and solve the system.

(b) Give three different ways the orders can be filled. From the solution found in part (a), determine the following and justify your answer:

(c) What is the maximum number of sweatshirts that Imprint-Sweats supplies to Spirit Shop 2?

(d) Can the order be filled if Imprint-Sweats supplies no sweatshirts to Spirit Shop 2 and Spirit Shop 3?

(e) What is the minimum total number of sweatshirts supplied to Spirit Shop 2 and Spirit Shop 3 by Imprint-Sweats?

(f) What is the maximum number of sweatshirts supplied to Spirit Shop 2 by Sweats-Plus?