2.A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires at least 240 units of calcium, at least 460 units of iron and at most 300 units of cholesterol. How many packets of each food should be used to minimize the amount of vitamin A in the diet? Formulate a LPP.

2.A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires at least 240 units of calcium, at least 460 units of iron and at most 300 units of cholesterol. How many packets of each food should be used to minimize the amount of vitamin A in the diet? Formulate a LPP.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: company. b. Determine the dual price of the raw material resource and its allowable range. If…

Q: Assume two nations: Vietnam and US, and two commodities: clothing and wheat. There is only one…

A: We have two nations: US and Vietnam. They both producing clothing and wheat. Here is only one factor…

Q: You manage a chemical company with 2 warehouses. The following quantities of Important Chemical A…

A: Let the parameter in L from port-1 to warehouse-1. Warehouse-1 Warehouse-2 Port-1 x1 x2…

Q: Combined, there are 177 Asians, Africans, Europeans, and Americans in a village. The number of…

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

Q: 2 2) A factory makes three types of granola cereal: Plain, Nutty, and Chewy. Each batch of Plain…

A: Let us consider the system of equation AX=b Now, the solution of the system using the cramer's rule…

Q: KG Health receives 4 raw grains from suppliers to make nutritional supplements. KG Health…

A: Given that, KG Health receives 4 raw grains from suppliers to make nutritional supplements. KG…

Q: (a) Let x represent the number of transistors that can be made, y the number of resistors, and z the…

A: Given system of equation

Q: 2.A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g)…

A: Let no. of packets of food P be x and no. of packets of food Q be y. The table below shows the given…

Q: 3. A company produces 3 combinations of mixed vegetables, which sell in 1-kilogram packages. Italian…

A: Solution:

Q: A cereal manufacturer wishes to produce 1000 pounds of a cereal that contains exactly 10% fiber, 2%…

Q: Please answer me in typing, and (solve all questions for me , if you don't want to solve all 4…

A: The provided data shows calories and sugar content of several cereal brands . (a) We need to…

Question

2.A dietician has to develop a special diet using two foods P and Q. Each
packet (containing 30 g) of food P contains 12 units of calcium, 4 units of
iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same
quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of
cholesterol and 3 units of vitamin A. The diet requires at least 240 units of
calcium, at least 460 units of iron and at most 300 units of cholesterol. How
many packets of each food should be used to minimize the amount of
vitamin A in the diet?
Fomulate a LPP.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Matrix Factorization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Consider the following approach: At an animal shelter, three types of food are provided for three species of freshwater turtles. Each turtle of species 1 consumes an average of 1 unit of food A, 1 of B and 2 of C per week. Species 2 consumes 1 unit of food A, 4 of B and 5 of C. Species 3 requires 2 units of food A 1 of B and 5 of C. It is known that the shelter can supply weekly 99 units of food A, 181 units B and 320 units of C. If we assume that the turtles consume all the food, indicate the number of turtles of each species that the shelter can maintain. a. Establishes the system of linear equations that models the approach b. Solve the system of linear equations using the Gauss-Jordan method
4. A body builder wants to build lean muscle using two types of supplement packets. Each packet of Brand A contains 10 grams of fat, 3 grams of carbohydrates, and 15 grams of protein. Each packet of Brand B contains 5 grams of fat, 6 grams of carbohydrates, and 30 grams of protein. He has decided that from these two types of packets, he would like to take in a maximum of 40 grams of fat per day and a minimum of 150 grams of protein per day. How many packets of each brand should he take per day to minimize the intake of carbohydrates?
Based on Angel et al. (2003). A fertilizer companyis trying to determine the cheapest fertilizer mix thatprovides desired amounts of nutrients. The mix ismade by combining the following fertilizers: SSA,SPO, GUR, TSP, KCI, FERT, and SPF. The mix cannot contain both GUR and TSP. The percentage ofpotassium (K), sulfur (S), calcium (Ca), sodium (Na)and phosphorus (P) in each fertilizer is listed in the fileP06_88.xlsx. For example, a pound of SSA is 16% Kand 26% Na. The mix must contain at least 600 poundsof K, 550 pounds of S, 750 pounds of Ca, 900 poundsof Na, and 750 pounds of P. The mix cannot containboth GUR and TSP, because if both are present in themix, the affect of other fertilizers is nullified. The costper pound (in cents) of each fertilizer is listed in thesame file. Develop a linear integer model to find theminimum-cost fertilizer mixture that meets the statedchemical requirements.
8. A person on a high-protein, low-carbohydrate diet requires at least 100 units of protein and at most 24 units of carbohydrates daily. The diet will consist entirely of three special liquid diet foods: A, B, and C. The contents and costs of the diet foods are given in the table. How many bottles of each brand of diet food should be consumed daily in order to meet the protein and carbohydrate requirements at minimal cost? What is the minimum cost? Note: Use the big M method. Protein Carbohydrates Units per bottle A 10 2 Cost per bottle ($) 0.60 B 10 3 0.40 C 20 4 1.50
An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit of zinc, and 2 units of glass. Each resistor requires 3, 2, and 1 units of the three materials, and each computer chip requires 2, 1, and 2 units of these materials, respectively. How many of each product can be made with the following amounts of materials? Complete parts (a) through (c) below. (a) Let x represent the number of transistors that can be made, y the number of resistors, and z the number of computer chips. Write a system of three linear equations when the amounts of available materials are 775 units of copper, 385 units of zinc, and 470 units of glass. Choose the correct answer below. A. 3x + 3y + 2z = 385 x+2y+z=775 2x+y + 2z = 470 O C. 3x + 3y + 2z = 775 x + 2y + z = 385 2x+y + 2z = 470 The company can make 6 transistors, 2 resistors, and 3 computer chips. (b) 770 units of copper, 380 units of zinc, and 490 units of glass The company can make…
Cholesterol Testing. A large health care organization uses three laboratories for the routine analysis of blood samples. It is important that the three labs provide equivalent test results. To check that, blood samples are obtained from 10 randomly selected individuals; each blood sample is then divided into three blood subsamples of equal volume; and then the three blood subsamples from each person are sent to different labs. For this problem, the analysis is confined to assessing the measurement of the total cholesterol level for a person. The data are in the following table.
An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?