QUESTION 1

Write the system of linear equations in the form Ax = b and solve this matrix equation for x. 2X1 X2 + X4 = 11 3X2 X3 X4 = 11 X1 + X3 3X4 = -8 X1 + x2 + 2X3 = 0 X1 11 | ii || ii I x2 = -11 X3 8 | ii || ii I X4 0 A fruit grower raises two crops, apples and peaches. The grower ships each of these crops to three different outlets. In the matrix 100 175 175 125 100 75 aij represents the number of units of crop i that the grower ships to outlet j. The matrix B = [ $3.50 $6.00] represents the profit per unit. Find the product BA. BA = [u |$l m l] State what each entry of BA represents. 0 Each entry represents the total profit at each outlet. O Each entry represents the number of units. 0 Each entry represents the total number of units at each outlet. 0 Each entry represents the number of outlets. O Each entry represents the profit per unit. A corporation has three factories, each of which manufactures acoustic guitars and electric guitars. In the matrix A 70 100 50 7D 35 25 aij represents the number of guitars of type 1' produced at factoryj in one day. Find the production levels when production increases by 20%. SEC]... |:]:i:l" n