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

Question 55

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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?  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


A) No\mathrm { No }
 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
B) Yes
 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
C) No
 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
D) Yes
 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

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