Use Mathematical Models Involving Linear Inequalities
-A Bakery Plans to Market

Use Mathematical Models Involving Linear Inequalities
-A bakery plans to market a mixed assortment of its two most popular cookies, Chocolate Chip and Toffee Chunk. The marketing analyst proposes that the new assortment be constrained by the inequality 3C + 4T ≤ 31, where C is the number of Chocolate Chip cookies and T is the number of Toffee Chunk cookies. The sales analyst suggests that the assortment should be constrained by the inequality 5C + 2T ≤ 33. The number of each type of cookie cannot be negative, so C ≥ 0 and T ≥ 0. Graph the region satisfying all the requirements for the assortment using C as the horizontal axis and T as the vertical axis. Does the combination of 7 Chocolate Chip cookies and 2 Toffee Chunk cookies satisfy all of the requirements?

A) $\mathrm { No }$

B) Yes

C) No

D) Yes