Huhaushhshs solve for me all I req to .only advance maths.... B. Minimization Problem. Professor Garcia is on alow cholesterol diet. During lunch at the collegecafeteria, he always chooses between two meals,Pasta or Tofu. The table below lists the amount ofprotein, carbohydrates, and vitamins each mealprovides along with the amount of cholesterol he istrying to minimize. Mr. Garcia needs at least 200grams of protein, 960 grams of carbohydrates, and40 grams of vitamins for lunch each month. Over thistime period, how many days should he have the Pastameal, and how many days the Tofu meal so that hegets the adequate amount of protein, carbohydrates,and vitamins and at the same time minimizes hischolesterol intake?ProteinCarbohydratesVitamin CCholesterolPasta8g60g2g60mgTofu16g40g2g50mgat least200g960g40gLet x = The number of days Mr. Garcia eats Pasta.y = The number of days Mr. Garcia eats Tofu.B.1. Translate the above matrix into a linearprogramming model (LP Model). Define the objectivefunction and the constraints (structural and non-negativity).B.2. Using DESMOS, graph the constraints and take ascreenshot of the feasible region. grams of protein, 960 grams of carbohydrates, and40 grams of vitamins for lunch each month. Over thistime period, how many days should he have the Pastameal, and how many days the Tofu meal so that hegets the adequate amount of protein, carbohydrates,and vitamins and at the same time minimizes hischolesterol intake?ProteinCarbohydratesVitamin CCholesterolPasta8g60g2g60mgTofu16g40g2g50mgat least200g960g40gLet x = The number of days Mr. Garcia eats Pasta.y = The number of days Mr. Garcia eats Tofu.B.1. Translate the above matrix into a linearprogramming model (LP Model). Define the objectivefunction and the constraints (structural and non-negativity).B.2. Using DESMOS, graph the constraints and take ascreenshot of the feasible region.B.3. Determine the optimal solution and the optimalvalue of Mr. Garcia's cholesterol intake.B.4. Interpret the results in B.3 to answer thequestions.

Let X and Y denote the number of days he has to eat pasta and tafu meals.We havePasta (X1 days)Tafu…

Answered: B. Minimization Problem. Professor…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
A goal is to get at least 15% of daily calories from polyunsaturated fats found in various nuts, oils, and fish. 1 serving of walnuts (about 15 pieces) has about 21 grams of polyunsaturated fat. Each gram has 10 calories. On a scale 2,100- calorie diet, about what percentage of daily calorie diet, about what percentage of daily calories does 1 serving of walnuts provide?
A goal is to get at least 15% of daily calories from polyunsaturated fats found in various nuts, oils, and fish. 1 serving of walnuts (about 15 pieces) has about 21 grams of polyunsaturated fat. Each fat gram has 10 calories. On a 2,100-calorie diet, about what percent of daily calories does 1 serving of walnuts provide? 14.5% 15% 10% 20%
Bake Magic maintains 0.750 mg of Secret Ingredient in their product. Recently manufactured products were analyzed and the results were mg Secret Ingredient = 0.750, 0.758, 0.756, 0.748, 0.752, 0.755, and 0.746. Does the batch of products contain more Secret Ingredient than the company set?
Quality dog food requires a necessary amount of protein to promote healthy functions. The industry standard requires at least 25% protein in the food to be considered "high quality". The local humane society had a large quantiy of two brands of dog food donated recently. Brand A dog food contains 27% protein and Brand B contains 21% protein.Each week the humane society need to create a 205 lb mixture of food to feed the shelter dogs. How much of each brand should they mix together to create a high-quality mixture consisting of 25% protein?
While trying to create the perfect breakfast for your children, you have determined that EXACTLY 22 grams of protein, 38 grams of carbohydrates, and 8.5 grams of fat send your kids to school in the best possible mood. Serving the following three items, how much of each should you serve to achieve your nutritional goals? Honey Nut Cheerios© nutritional data (per 0.75 cup serving) Calories 105 Sugar 9 grams Fat 1.5 grams Carbohydrates 22 grams Protein 2 grams Quaker Oatmeal© nutritional data (per 1 packet serving) Calories 170 Sugar 12 grams Fat 2 grams Carbohydrates 32 grams Protein 4 grams The last piece of their meal is uncured turkey bacon nutritional data (per 1 slice). Calories 40 Sugar 0 grams Fat 2 grams Carbohydrates 0 grams Protein 6 grams You have determined you should serve servings of cereal, servings of oatmeal, and servings of turkey bacon in order to serve your kids the food they like and meet your nutritional goals.
The following is the nutrition label from a 5 oz. container of a three cheese blend of shredded cheese. The container costs $3.99. What is the cost per serving? Nutrition Amountserving Facts about 28 servings per container Serving size 1 Tosp (59) Calories % DV Amount/serving 2% Total Carb. Og 5% Fiber 0g Total Sugars 0g 1% Incl. Og Added Sugars 1% Protein 1g % DV Total Fat 1.5g Sat. Fat 1g 0% 0% Trans Fat 0g Cholest. <5mg Sodium 30mg 0% per serving 20 Vit. D 0% • Calcium 4% • Iron 0% • Potas. 0% O $0.143 O $1.33 O $0.798 O $0.266 --- |T||
Quality dog food requires a necessary amount of protein to promote healthy functions. The industry standard requires at least 25% protein in the food to be considered "high quality". The local humane society had a large quantiy of two brands of dog food donated recently. Brand A dog food contains 30% protein and Brand B contains 22% protein.Each week the humane society need to create a 185 lb mixture of food to feed the shelter dogs. How much of each brand should they mix together to create a high-quality mixture consisting of 25% protein? lbs of Brand A lbs of Brand B (round answers to two decimal places if necessary)
After taking a nutrition class, a big macaroni and cheese fan decides to improve the levels of protein and fiber in her favorite lunch by adding broccoli and canned chicken. The nutritional information for the foods referred to in this exercise is given in the table below. Complete parts (a) and (b) below. Nutrition Information per Serving Broccoli 52 5.4 Nutrient Calories Protein (g) Fiber (9) Mac and Cheese 269 9 3 55 5.2 *** Chicken 70 14 0 Shells 259 88 6 a. If she wants to limit her lunch to 400 calories but get 35 grams of protein and 10 grams of fiber, what proportions of servings of macaroni and cheese, broccoli, and chicken should she use? She should use 84 servings of macaroni and cheese, 1.45 servings of broccoli, and 1.4 servings of chicken to get her desired nutritional content. (Type an integer or decimal rounded to the nearest hundredth as needed.) b. She found that there was too much broccoli in the proportions from part (a), so she decided to switch from classical…
A health-conscious company decides to make a trail mix out of almonds, dried cranberries, and chocolate-covered cashews. The nutritional information for these items is shown in the table below. Almonds Cranberries Cashews (per 10 pieces) (per 10 pieces) (per 10 pieces) Fat (g) 6. 0,02 Protein (g) 2 3.5 Carbohydrates (g) 8 5.5 For the "hiking" mix, there are 1,000 total pieces of mix. The total amount of protein is 55 g, and the total amount of fat is 131.6 g. If there are the same number of almonds as cashews, how many pieces of each item are in the trail mix? almonds pieces cranberries pieces cashews pieces Additional Materials
A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 4800 minutes of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.
A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 80 hrs of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.

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