Find the maximum and minimum values of each objective function over the region of feasible solutions shown at the right. objective function = 3x + 5y

For each pair of matrices A and B, find (a) AB and (b) BA. See Example 7. A= , B =

Find the maximum and minimum values of each objective function over the region of feasible solutions shown at the right. objective function = 10y

For each pair of matrices A and B, find (a) AB and (b) BA. See Example 7. A= , B =

Find AB and BA for the following matrices. A= and B = Matrix B acts as the multiplicative element for 2 * 2 square matrices.

Find the inverse, if it exists, for each matrix. [3x3 matrix]

Solve each problem. See Examples 5 and 9. The sum of two numbers is 47, and the difference between the numbers is 1. Find the numbers.

Solve each problem. See Examples 5 and 9. At the Berger ranch, 6 goats and 5 sheep sell for $305, while 2 goats and 9 sheep sell for $285. Find the cost of a single goat and of a single sheep.

Solve each problem. See Examples 5 and 9. A cashier has a total of 30 bills, made up of ones, fives, and twenties. The number of twenties is 9 more than the number of ones. The total value of the money is $351. How many of each denomination of bill are there?

Solve each problem. See Examples 5 and 9. The sum of the measures of the angles of any triangle is 180°. In a certain triangle, the largest angle measures 55° less than twice the medium angle, and the smallest angle measures 25° less than the medium angle. Find the measures of all three angles.

Solve each problem. See Examples 5 and 9. Solve the system of equations (4), (5), and (6) from Example 9.

$25x+40y+20z=2200$ (4)

$4x+2y+3z=280$ (5)

$3x+2y+z=180$ (6)