A corporation has three factories, each of which manufactures acoustic guitars and electric guitars. In the matrix 100 35 70 50 70 25 ajj represents the number of guitars of type i produced at factory j in one day. Find the production levels when production increases by 20%. A =

A corporation has four factories, each of which manufactures sport utility vehicles and pickup trucks. In the matrixaij represents the number of vehicles of type i produced at factory j in one day. Find the production levels when production increases by 10%.

This is one question, I couldn’t fit it into one picture so I insert 2.

Matrix D gives the dealer invoice prices for sedan and hatchback models of a car with manual transmission or automatic transmission. Matrix M gives the MSRP (manufacturer's suggested retail price) for the cars. Sedan Hatchback $29,000 D = $27,500]Manual $26,900 JAutomatic [ $28,500 Sedan Hatchback $32,600 [$31,900 $29,900]Manual $28,900 JAutomatic M = a. Compute M - D and interpret the result. b. A buyer thinks that a fair price is 6% above dealer invoice. Use scalar multiplication to determine a matrix F that gives the fair price for these cars for each type of transmission.

At the movies, Devin bought three tickets, one drink, and one bag of popcorn for $43.75.Neil bought one ticket, three drinks, and two bags of popcorn for $27.75Jung bought two tickets, two drinks, and one bag of popcorn for $34.Determine the values that replace the letters in the augmented matrix which represents the situation.⎡⎣⎢3cea321d1∣∣∣∣b27.75f⎤⎦⎥[3�1�3��21|�27.75�]   a=�=  b=�=  c=�=  d=�=  e=�=  f=�=    Part BUse the completed augmented matrix to find out the prices for one ticket, one drink, and one bag of popcorn. cost of one ticket = $ cost of one drink = $ cost of one bag of popcorn = $

Find 11 (3 (3x + 2y)dA where R is the parallelogram with vertices (0,0), (4,5), (-3,1), and (1,6). Use the transformation = 4u - 3v, y = 5u + v.

A drama teacher assigns final grades in her class based on the weighted system shown below. The matrix G represents the grades for Kiyo and his two friends, Rachel and Leo. Write matrix W as a 1 x 3 matrix to represent the weighted grading system. Preform matrix multiplication to find the final grades for each of the three students

Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. C a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Dept. A Dept. B Department A Department B Steel Wood Plastic Co. C Company C 580 280 280 Co. D Company D — 570 180 380 Steel 70 60 Wood 60 40 Plastic 40 60