kindly answer items (d) and (e) A nutritionist is planning a menu that includes foods A and B as its main staples. Suppose that eachounce of food A contains 2 units of protein, 1 unit of iron, and 1 unit of thiamine; each ounce of food B contains1 unit of protein, 1 unit of iron, and 3 units of thiamine. Suppose that each ounce of A costs P3, while eachounce of B costs P4. The nutritionist wants the meal to provide at least 12 units of protein, at least 9 units ofiron, and at least 15 units of thiamine. How many ounces of each of the foods should be used to minimize thecost of the meal?a. Formulate the nutritionist's problem as an LP model. Define your decision variables precisely.b. Solve the problem graphically. Shade the feasible area properly. Label the corner points and give theircoordinates. Determine the slope of the objective function line. Sketch a typical objective function lineand show HOW it intersects the candidate optimal point. Identify the optimal solution and give thecorresponding value of the objective function.c. Verify your geometric solution by solving the LP using dual simplex method. Trace the “movement"of your dual simplex solutions from points outside the feasible area towards the optimal point.Based on the optimal dual simplex tableau, answer the following:d. If the needed nutrients were available in capsule form, how much (in units of pesos and/or centavos)would the nutritionist's client be willing to pay(i) For one capsule of iron?(ii) For one capsule of thiamine?e. What would be the maximum revenue for the person selling the capsule?

Answered: Image /qna-images/answer/f140c536-4cb2-49b5-8aae-1a5963125454.jpg

plaffig slaples. Suppose ounce of food A contains 2 units of protein, 1 unit of iron, and 1 unit of thiamine; each ounce of food B contains 1 unit of protein, 1 unit of iron, and 3 units of thiamine. Suppose that each ounce of A costs P3, while each ounce of B costs P4. The nutritionist wants the meal to provide at least 12 units of protein, at least 9 units of iron, and at least 15 units of thiamine. How many ounces of each of the foods should be used to minimize the cost of the meal? a. Formulate the nutritionist's problem as an LP model. Define your decision variables precisely. b. Solve the problem graphically. Shade the feasible area properly. Label the corner points and give their

plaffig slaples. Suppose ounce of food A contains 2 units of protein, 1 unit of iron, and 1 unit of thiamine; each ounce of food B contains 1 unit of protein, 1 unit of iron, and 3 units of thiamine. Suppose that each ounce of A costs P3, while each ounce of B costs P4. The nutritionist wants the meal to provide at least 12 units of protein, at least 9 units of iron, and at least 15 units of thiamine. How many ounces of each of the foods should be used to minimize the cost of the meal? a. Formulate the nutritionist's problem as an LP model. Define your decision variables precisely. b. Solve the problem graphically. Shade the feasible area properly. Label the corner points and give their

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section6.5: Systems Of Inequalities

Problem 9ECP

See similar textbooks