Question

Watson Electric has production facilities in Valley Mills, Marlin, and Hillsboro. Each one produces radios, stereos, and TV sets. Their production capacities are as follows. Valley Mills: 10 radios, 12 stereos, and 5 TV sets per hour Marlin: 7 radios, 11 stereos, and 6 TV sets per hour Hillsboro: 2 radios, 3 stereos, and 14 TV sets per hour (b) How many hours should each plant be scheduled to fill an order of 1055 radios, 1230 stereos, and 1470 TV sets? 12 x1 + 11 x2 + 3 x3 = 1,055 x1 + x2 + x3 = 1230 x1 + x2 + x3 = 1,470

Answer 1

Following are the solution to this question:

Explanation:

In the given question, R stands for radio, S stands for stereo, T stands for television

Since the value of Vally Mills as follows:
`11 \ R, 10 \ S, 8\ T \ per \ hour`

The value of Marlin as follows:
`7 \ R,12 \ S, 8\ T \ per\ hour`

The value of Hillsboro as follows:
`5 \ R, 3 \ S, 15\ T \ per\ hour`

Take into account x1-Vally hour Mills, x2-Marlin hours, x3-Hillsboro hours

In point A:

`\to 1335\ R,1550\ S,1850\ T`

calculate the above equations as follows:

`\to 11 x_1 + 7x_2 +5x_3 =1335\\\to 10x_1 +12x_2 +3x_3 = 1550\\\to 8x_1 +8x_2 +15 x_3 =1850\\`

In point B:

`\to 1045 \ R, 1220\ S,1470 \ T\\\\`

calculate the above equations as follows:

`\to 11x_1 +7x_2 +5x_3 =1045\\\to 10x_1 +12x_2 +3 x_3 =1220\\\to 8x_1 +8 x_2 +15 x_3 =1470`

Equations are rendered there