Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dietician is required...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dietician is required to provide a menu that satisfies the minimum nutrient requirements at the lowest cost. Three types of food items are being considered for the breakfast: toast, cereal and sausage. A piece of toast contains 1 milligram of vitamin A, 3 milligrams of vitamin B, 2 milligrams of iron, and provides 50 calories. A cup of cereal provides 1.5 milligrams of vitamin A, 4 milligrams of vitamin B, 2.5 milligrams of iron, and provides 70 calories. A piece of sausage contains 0.5 milligrams of vitamin A, 5 milligrams of vitamin B, 6 milligrams of iron, and provides 100 calories. The minimum breakfast requirement of these nutrient elements are to be: Minimum Requirement 40 mg 25 mg 15 mg 1200 calories Nutrient Vitamin A Vitamin B Iron Calories Also Mrs. Brooks wishes to abide by these additional Medical Association recommendations that having more than three pieces of sausage, as well as more than 3000 calories for breakfast are not good for young people. The unit costs of the food are: a piece of toast costs 2 cents, a cup of cereal costs 3 cents and a piece of sausage costs 4 cents. Formulate this as a linear programming problem so that Mrs. Brooks would know how much of each food item to put in the breakfast menu in order to minimize cost. Mrs. Brooks, the dietitian at YMCA is planning breakfast for young campers. The dietician is required to provide a menu that satisfies the minimum nutrient requirements at the lowest cost. Three types of food items are being considered for the breakfast: toast, cereal and sausage. A piece of toast contains 1 milligram of vitamin A, 3 milligrams of vitamin B, 2 milligrams of iron, and provides 50 calories. A cup of cereal provides 1.5 milligrams of vitamin A, 4 milligrams of vitamin B, 2.5 milligrams of iron, and provides 70 calories. A piece of sausage contains 0.5 milligrams of vitamin A, 5 milligrams of vitamin B, 6 milligrams of iron, and provides 100 calories. The minimum breakfast requirement of these nutrient elements are to be: Minimum Requirement 40 mg 25 mg 15 mg 1200 calories Nutrient Vitamin A Vitamin B Iron Calories Also Mrs. Brooks wishes to abide by these additional Medical Association recommendations that having more than three pieces of sausage, as well as more than 3000 calories for breakfast are not good for young people. The unit costs of the food are: a piece of toast costs 2 cents, a cup of cereal costs 3 cents and a piece of sausage costs 4 cents. Formulate this as a linear programming problem so that Mrs. Brooks would know how much of each food item to put in the breakfast menu in order to minimize cost.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A hospital wishes to provide at least 24 units of nutrient A and 16 units of nutrient B in a meal, while minimizing the cost of the meal. If three types of food are available, with the nutritional...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Suppose you are a money manager of a $5 million investment fund. The fund is invested in four funds with the following investments and betas: Stock A B Shares 100,000 100,000 75,000 20,000 C D Price...
-
A 250-V dc shunt-wound motor is used as an adjustable-speed drive over the range from 0 to 2000 r/min. Speeds from 0 to 1200 r/min are obtained by adjusting the armature terminal voltage from 0 to...
-
One \(\mathrm{kg}\) of air is heated at constant volume from \(100^{\circ} \mathrm{C}\) to \(400^{\circ} \mathrm{C}\). If \(C_{V}\) is \(0.7186 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}\), determine the...
-
Construct a 95% confidence interval for the mean response when x = 20. Exercises 610 refer to the following data set: x 25 13 16 19 29 19 16 30 y 40 20 33 30 50 37 34 37
-
Consider the following program: Note that the scheduler in a uniprocessor system would implement pseudo parallel execution of these two concurrent processes by interleaving their instructions,...
-
In July 2 0 2 2 , an individual acquires a rental property for $ 2 0 , 0 0 0 . $ 1 1 0 , 0 0 0 is allocated to the land and $ 1 6 0 , 0 0 0 is allocated to the building. The property is rented for $...
-
Reynolds Printing Company specializes in wedding announcements. Reynolds uses an actual job-order costing system. An actual overhead rate is calculated at the end of each month using actual direct...
-
A batch of parts is produced on a semi-automated production machine. Batch size is 50 units. Setup requires 2 hours. A worker loads and unloads the machine each cycle, which takes 50 sec. Machine...
-
Consider a project that costs $ 1 6 1 , 0 0 0 today and is expected to earn $ 3 8 6 , 0 0 0 after 6 years. there are no other cash flows. cost of capital is 6 . 5 % . What is this project's internal...
-
Develop a template for independent policies and procedures for an audit firm to implement.
-
ATMAL Corp. is selling at RM8.00 per stock. The stock had risen following rumours of takeover. You do not own any stock and realise that it is a potentially volatile situation. At-the-money, RM8.00...
-
What are some challenges that arise in maintaining high-performance team dynamics in rapidly evolving advanced industries ?
-
The credit terms of "3/10, net 40" means that Question 4 options: a 3% discount will be given to the buyer if the payment is made on the 40th day a 3% discount will be given to the buyer if the...
-
Compute the value of the function y = xe-x cos (2x) when x = 10. 2. MATRICES (a) Construct a matrix A, where A = 1 3 5 7) 10 8 6 4 2 4 68 3 5 7 9, (b) Construct matrix Bfrom A, where Btakes only the...
-
Suppose that a business sells 6-month subscriptions to its monthly magazine. On January 1, the company receives a total of $600 for 10 subscriptions. To record this transaction, the company debits...
-
Identify all the paths in the following network, compute the length of each, and indicate the critical path (activity times are inweeks): 2 8 54 5 0
-
Professor Smith teaches two sections of business statistics, which combined will result in 120 final exams to be graded. Professor Smith has two graduate assistants, Brad and Sarah, who will grade...
-
The Rolling Creek Textile Mill produces denim. The fixed monthly cost is $21,000, and the variable cost per yard of denim is $0.45. The mill sells a yard of denim for $1.30. a. For a monthly volume...
-
The mean free path \(\lambda\) of a molecule of gas is the average distance it travels before collision with another molecule. It is given by \[\lambda=C \frac{m}{ho d^{2}}\] where \(m\) and \(d\)...
-
A rectangular gate (width \(w=2 \mathrm{~m}\) ) is hinged as shown, with a stop on the lower edge. At what depth \(H\) will the gate tip? Water H 0.55 m 0.45 m P3.46 Hinge Stop
-
Gates in the Poe Lock at Sault Ste. Marie, Michigan, close a channel \(W=34 \mathrm{~m}\) wide, \(L=360 \mathrm{~m}\) long, and \(D=10 \mathrm{~m}\) deep. The geometry of one pair of gates is shown;...
Study smarter with the SolutionInn App