Exam 8: Systems of Equations and Inequalities

Set up the linear programming problem. -A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and anounce of potatoes for $0.02. The dietician is bound by the following constraints.∙ Each ounce of chicken contains 13 grams of protein and 24 grams of carbohydrates.∙ Each ounce of potatoes contains 5 grams of protein and 35 grams of carbohydrates.∙ The minimum daily requirements for the patients under the dietitianʹs care are 45 grams of protein and 58grams of carbohydrates.Let x = the number of ounces of chicken and y = the number of ounces of potatoes purchased per patient.Write a system of inequalities that describes these constraints.

Write the partial fraction decomposition of the rational expression. -

Use the given matrices to compute the given expression. -Let A . Find 3A + 4B.

Graph the system of inequalities. -

Graph the system of inequalities. -

Write the partial fraction decomposition of the rational expression. -

Perform the row operation(s)on the given augmented matrix. -

Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer. -

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -

Solve using elimination. -

Graph the inequality. -

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs. C -

Solve the system using the inverse matrix method. - The inverse of

Write the system of equations associated with the augmented matrix. Do not solve. -

Write the system of equations associated with the augmented matrix. Do not solve. -

Solve the linear programming problem. -Maximize and minimize z = 8x - 24y subject to:

Solve the system of equations by elimination. -

Solve the linear programming problem. -Mrs. White wants to crochet beach hats and baby afghans for a church fund-raising bazaar. She needs 8hours to make a hat and 2 hours to make an afghan and she has 56 hours available. She wants to make nomore than 13 items and no more than 11 afghans. The bazaar will sell the hats for $14 each and the afghansfor $7 each. How many of each should she make to maximize the income for the bazaar? What is themaximum income?

Graph the inequality. -

Solve the system of equations using substitution. -