<p>A dietician is planning menus for the upcoming month. A new item will be spag

Question

<p>A dietician is planning menus for the upcoming month. A new item will be spaghetti with meat sauce. The dietician wants each serving to contain at least 10 grams of protein and at least 40 grams of carbohydrates. Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup, and the sauce contains 4 grams of protein and 5 grams of carbohydrates per cup. Fro aesthetic reasons the dietician wants the ratio of spaghetti to sauce to be 4:1.<br /><br />Spaghetti costs $ .30 per cup to buy and prepare, sauce costs $ .40 per cup to buy and prepare. The dietician wants to minimize cost per serving and keep the calories per serving to be 330 or less. The sauce contains 100 calories per cup and the spaghetti contains 160 calories per cup.<br /><br /><span>Formulate an LP model for this problem.</span></p>

Explanation / Answer

x = cups of spaghetti y = cups of sauce linear program: 5x + 4y = 10 (protein) 32x + 5y = 40 (carbohydrates) 100x + 160y < 330 (calories) x/y = 4 (ratio) To determine answer, graph these equations and minimize .3x + .4y (cost)

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.