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

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codiepienagoya codiepienagoya · Answer 1 · 2020-10-06T10:08:55+02:00

Answer:

Following are the solution to this question:

Step-by-step 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: [tex]11 \ R, 10 \ S, 8\ T \ per \ hour[/tex]

The value of Marlin as follows: [tex]7 \ R,12 \ S, 8\ T \ per\ hour[/tex]

The value of Hillsboro as follows: [tex]5 \ R, 3 \ S, 15\ T \ per\ hour[/tex]

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

In point A:

[tex]\to 1335\ R,1550\ S,1850\ T[/tex]

calculate the above equations as follows:

[tex]\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\\[/tex]

In point B:

[tex]\to 1045 \ R, 1220\ S,1470 \ T\\\\[/tex]

calculate the above equations as follows:

[tex]\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[/tex]

Equations are rendered there