The bookstore at St. Peters-burg College sells Apple tablets and Samsung tablets. Based on demand, it is necessary to stock at least twice as many Apple tablets as Samsung tablets. The costs to the store are $300 for an Apple tablet and $200 for a Samsung tablet. Management wants at least 10 Apple tablets and at least 5 Samsung tablets in inventory at all times and does not want more than $12,000 in inventory at any one time.

(a)Using A to represent Apple tablets and S to represent Sam-sung tablets, translate the problem into a system of linear inequalities. 

(b) Graph the system of linear inequalities and indicate the solution set. Graph the number of Apple tablets on the horizontal axis and the number of Samsung tablets on the vertical axis.

(c) Select a point in the solution set and determine the inventory cost for the two models that corresponds to the point.

Use a system of linear inequalities.