3 Sam's Super Sandwiches offers four sandwiches on its menu: an applewood smoked chicken sandwich, a...
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3 Sam's Super Sandwiches offers four sandwiches on its menu: an applewood smoked chicken sandwich, a roast beef sandwich, a grilled cheese sandwich, and a portabella mushroom sandwich. Sam prefers to exclusively eat his own sandwiches each day. However, he is on a diet that requires him to consume 2,000 calories, 70 grams of carbohydrates, and 44 grams of protein each day. Since he is also a mathematician, he defines: w = the number of applewood smoked chicken sandwiches he will eat each day x = the number of roast beef sandwiches he will eat each day y = the number of grilled cheese sandwiches he will eat each day z = the number of portabella mushroom sandwiches he will eat each day The nutritional contents of each sandwich are displayed in the table below: Carbohydrates Protein per Sandwich per Sandwich (grams) (grams) Sandwich Applewood Smoked Chicken Roast Beef Grilled Cheese Portabella Mushroom Calories per Sandwich 500 600 550 450 18 15 20 17 15 20 5 7 Determine the following: what is a realistic range for the number of each sandwich he can eat each day? (This question implies the nature of the solution set you should expect to get). Sam prefers to keep his daily options as open as possible. It is okay for Sam to eat a fractional portion of a sandwich, as well (to the tenths place). You can use your calculator to perform Gaussian Elimination for you. Be sure to clearly interpret the results of your reduced matrix (show that you know how to do this) and write the solution in parametric form. Answer the question in words. 3 Sam's Super Sandwiches offers four sandwiches on its menu: an applewood smoked chicken sandwich, a roast beef sandwich, a grilled cheese sandwich, and a portabella mushroom sandwich. Sam prefers to exclusively eat his own sandwiches each day. However, he is on a diet that requires him to consume 2,000 calories, 70 grams of carbohydrates, and 44 grams of protein each day. Since he is also a mathematician, he defines: w = the number of applewood smoked chicken sandwiches he will eat each day x = the number of roast beef sandwiches he will eat each day y = the number of grilled cheese sandwiches he will eat each day z = the number of portabella mushroom sandwiches he will eat each day The nutritional contents of each sandwich are displayed in the table below: Carbohydrates Protein per Sandwich per Sandwich (grams) (grams) Sandwich Applewood Smoked Chicken Roast Beef Grilled Cheese Portabella Mushroom Calories per Sandwich 500 600 550 450 18 15 20 17 15 20 5 7 Determine the following: what is a realistic range for the number of each sandwich he can eat each day? (This question implies the nature of the solution set you should expect to get). Sam prefers to keep his daily options as open as possible. It is okay for Sam to eat a fractional portion of a sandwich, as well (to the tenths place). You can use your calculator to perform Gaussian Elimination for you. Be sure to clearly interpret the results of your reduced matrix (show that you know how to do this) and write the solution in parametric form. Answer the question in words.
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Question 1 What is a realistic range for the number of each sandwich he can eat each day Answer In order to determine the realistic range for the number of each sandwich Sam can eat each day we must f... View the full answer
Related Book For
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock
Posted Date:
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