Yusun’s Diner sells tacos, burgers, wings, pizzas, and cookies, in the following family meals. -Meal 1: 5 tacos, 5 burgers, 20 wings, 3 pizzas, and 6 cookies. -Meal 2: 6 tacos, 4 burgers, 30 wings, 1 pizza, and 5 cookies. -Meal 3: 8 tacos, 5 burgers, 20 wings, 2 pizzas, and 10 cookies. -Meal 4: 3 tacos, 4 burgers, 30 wings, 2 pizzas, and one cookie. (i)Ehsaan wants to buy: 56 tacos, 43 burgers, 200 wings, 20 pizzas, and 64 cookies. Model this situation as a linear system. (ii)Find all solutions to your model from part (i). Explicitly give two realistic solutions (Ehsaan cannot buy negative or fractional meals). (iii)Ehsaan must spend exactly $360 on his purchase from part (i). If the meals are priced as follows: • Meal 1: $50 • Meal 2: $30 • Meal 3: $40 • Meal 4: $20 determine which combination of meals he should buy.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Yusun’s Diner sells tacos, burgers, wings, pizzas, and cookies, in the following family meals.

-Meal 1: 5 tacos, 5 burgers, 20 wings, 3 pizzas, and 6 cookies.

-Meal 2: 6 tacos, 4 burgers, 30 wings, 1 pizza, and 5 cookies.

-Meal 3: 8 tacos, 5 burgers, 20 wings, 2 pizzas, and 10 cookies.

-Meal 4: 3 tacos, 4 burgers, 30 wings, 2 pizzas, and one cookie.

(i)Ehsaan wants to buy: 56 tacos, 43 burgers, 200 wings, 20 pizzas, and 64 cookies. Model this situation as a linear system.

(ii)Find all solutions to your model from part (i). Explicitly give two realistic solutions (Ehsaan cannot buy negative or fractional meals).

(iii)Ehsaan must spend exactly $360 on his purchase from part (i). If the meals are priced as follows:

• Meal 1: $50
• Meal 2: $30
• Meal 3: $40

• Meal 4: $20
determine which combination of meals he should buy.

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