A company produces three models of MP3 players models A B an

A company produces three models of MP3 players, models A, B, and C, Each model A machine requires 3.2 hours of electronics work, 2.8 hours of assembly time, and 4.4 hours of quality assurance time. Each model B machine requires 5.4 hours of electronics work, 2.4 hours of assembly time, and 3.4 hours of quality assurance time. Each model C machine requires 2.2 hours of electronics work for be produced each week if all available time must be used? Find the values of a, b, c, and d the make the matrix equation true. [1 2 0 -1][a b c d] = [1 2 2 4]

Solution

10) LHS = [(a+2c) (b+2d)]

[ -c -d]

Then equating LHS = RHS

a + 2c = 1 =======> a = 1 - 2c = 5

b + 2d = 2 =========> b = 2 - 2d = 10

c = -2

d = -4