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 $0.35 and anounce of potatoes for $0.03. Let x = the number of ounces of chicken and y = the number of ounces ofpotatoes purchased per patient. Write the objective function that describes the total cost per patient permeal.

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Graph the system of inequalities. -

Use the given matrices to compute the given expression. -Let Find C.

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -A coffee store has available 75 pounds of A grade coffee and 120 pounds of B grade coffee. These will beblended into 1 pound packages as follow: an economy blend that contains 4 ounces of A grade coffee and12 ounces of B grade coffee and a superior blend that contains 8 ounces of A grade coffee and 8 ounces ofB grade coffee. Using x to denote the number of packages of the economy blend and y to denote thenumber of packages of the superior blend, write a system of linear inequalities that describes the possiblenumber of packages of each blend. Graph the system and label the corner points.

Solve the system of equations by elimination. -

Graph the system of inequalities. -

Perform the indicated operation(s), whenever possible. -Let Find A + B - C.

Solve the problem. -The sum of the squares of two numbers is 53. The sum of the two numbers is 9. Find the two numbers.

Write the partial fraction decomposition of the rational expression. -

Write the word or phrase that best completes each statement or answers the question. -

Write the partial fraction decomposition of the rational expression. -

Graph the system of inequalities. -

Solve the problem. -The sum of the squares of two numbers is 97. The difference of the two numbers is -5. Find the twonumbers.

Solve the system of equations using substitution. -

Graph the system of inequalities. -

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 -O

Graph the inequality. -

Solve the system of equations using substitution. -

Graph the system of inequalities. -