Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Show all work please! 4. You are planning a dinner of pinto beans and brown rice

ID: 3099067 • Letter: S

Question

Show all work please!
4. You are planning a dinner of pinto beans and brown rice. You want to consume at least 2100 calories and 44 grams of protein per day, but no more than 2400 milligrams of sodium and 73 grams of fat. So far today you have consumed 1600 calories and 24 grams of protein, 2370 milligrams of sodium, and 65 grams of fat. Pinto beans cost $.57 per cup and brown rice costs $.78 per cup. How many cups of pinto beans and brown rice should you make to minimize cost while satisfying your nutritional requirements?
Contents        1 cup of pinto beans          1 cup of brown rice(with salt)
Calories                     265                                      230
Protein(g)                 15    5
Sodium(mg)                3    10
Fat(g)                         1 1

Explanation / Answer

So you have at least 500 calories and 20grams of proteins to consume but can't consume more than 30milligrams of sodium or 8 grams of fat. Well consuming 2 cups of pinto beans allows you to meet all your requirements and keep costs minimum, unless your allowed to consume a fraction of the cups, then the answer would be different. Let me know if that's what your looking for...