An Electrical Company Has Two Manufacturing Plants

Essay

An Electrical Company has two manufacturing plants. The cost in dollars of producing an Amplifier at each of the two plants is given below. The cost of producing Q₁ Amplifiers at the first plant is:
65Q₁ + 4Q₁²+ 90
and the cost of producing Q₂ Amplifiers at the second plant is:
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20Q₂ + 2Q₂²+ 120
The company needs to manufacture at least 60 Amplifiers to meet the received orders. How many Amplifiers should be produced at each of the plants to minimize the total production cost? Round the answers to two decimal places and the total cost to the nearest dollar value.