Exam 8: Systems of Linear Equations and Inequalities

Find A^-1 given that

Suppose you are going to eat only Subway sandwiches for a week (seven days) for lunch and dinner (total fourteen meals). Your goal is a total of 4580 calories and 150 grams of fat. How many of each sandwich would you eat tat week to obtain this goal?

Graph the linear inequality.

Graph the linear inequality.

Match the graph to the system of inequalities.

A catering company mixes cooked shredded beef with roasted Anaheim chilies to use as the filling in their house specialty burrito. How many pounds of both shredded beef that sells for $6.61 per pound and chilies that sell for $1.59 per pound must be mixed to produce 85 pounds of the mixture, witch sells for $511.65? Let b represent the number of pounds of beef and c represent the number of pounds of chilies.

Perform the row operation -3R₁ + R₂ $\rightarrow$ R₂ on the matrix and write the resulting matrix.

Find A, B, and C in the following matrices.

Solve the linear system of equations for k, m, and n. -4k - 2m + 3n = 13 -8k + 8m - 5n = 61 -6k - 3m - 4n = 28

Solve the system of linear equations for s, t, and u. 3s - 4t + 8u = -27 4s + 4t + 3u = -13 8s - 7t + 8u = -32

Amanda and Nick decide to place $20,300 of their savings into investments. They put some in a money market account earning 3% interest, some in mutual fund that has been averaging 6.5 a year, and some in a stock that rose 12%last year. If they put $4,100 more in the money market than in the mutual fund and the mutual fund and stocks experience the same growth the next year as they did the previous year,they will earn $1,356.5 in a year. How much money did Amanda and Nick put in each of these investments?

Maximize z = 5x - 7y subject to:

Solve the system of linear equations by elimination. -4x - 3y = -2 -8x + 9y = 86

Find the value of the objective function z = 3x + 5y at each of the vertices (0, 7), (7, 6), (-1, -1), and (-6, -1), and then state the maximum and minimum values of the function.

Employ the following supply and demand equations. Demand Supply Write a system of linear inequalities corresponding to the consumer surplus.

Evaluate the 2 x 2 determinant.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Evaluate the 3 x 3 determinant.

Perform the row operation on the matrix and write the resulting matrix.

Evaluate the 2 x 2 determinant.