A supplier for the automobile industry manufactures car and

A supplier for the automobile industry manufactures car and truck frames at two different plants. How many hours should each plant be scheduled to operate to exactly fill each of the orders in the right table? The production rates (in frames per hour) for each plant are given in the left table. All supporting work used to derive your answer(s) must be written on your paper - failure to do so will result in full credit not being given for correct answer(s). For your final answer(s), copy and complete the table below onto your paper - failure to do so will result in full credit not being given for correct answer(s).

Solution

for order 1:
let plan A operate for x hour and plant B for y hour
1066 = 5x + 8y .....eqn 1 * 2
474 = 2x + 6y .....eqn 2 *5
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2132 = 10x + 16y
2370 = 10x + 30 y
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14y = 238
y = 17

put this in eqn 1
1066 = 5x + 8*17
x= 186

Answer:
Number of hours of plant A = 186
Number of hours of plant B = 17

can you please solve similarly for order 2 and order 3