Solve the Problem $3 \mathrm { C } + 4 \mathrm {~T} \leq 31$

question 156

Multiple Choice

Solve the problem.
-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 $3 \mathrm { C } + 4 \mathrm {~T} \leq 31$ , where $\mathrm { C }$ is the number of Chocolate Chip cookies and $\mathrm { T }$ is the number of Toffee Chunk cookies. The sales analyst suggests that 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 7 Chocolate Chip cookies and 2 Toffee Chunk cookies satisfy all of the requirements?

• A) No
• B) Yes
• C) No
• D) Yes