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-A Bakery Plans to Market a Mixed Assortment of Its

Solve.
-A bakery plans to market a mixed assortment of its two most popular cookies: Chocolate Chip and Toffee Chunk. Their marketing analyst proposes that the new assortment be constrained by the inequality $3 \mathrm { C } + 4 \mathrm {~T} \leq 31$ , where $\mathrm { C }$ is the number of Chocolate Chip cookies and $\mathrm { T }$ is the number of Toffee Chunk cookies. Their sales analyst suggests in order to offer a reasonably priced product the assortment should be constrained by the inequality $5 \mathrm { C } + 2 \mathrm {~T} \leq 33$ . The number of each type of cookie cannot be negative, so $\mathrm { C } \geq 0$ and $\mathrm { T } \geq 0$ . Graph the region satisfying all the requirements for the assortment using $\mathrm { C }$ as the horizontal axis and $\mathrm { T }$ as the vertical axis. Does the combination of 1 Chocolate Chip cookies and 7 Toffee Chunk cookies satisfy all of the requirements?

A)
B)
C)
D)