q.3 Thank you

Question 3: 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 20Q2+2Q22+120 The company needs to manufacture at least 60 Amplifiers to meet the received orders. Production time required for the Amplifiers at these plants is 6 and 8 hours per unit, respectively. Currently, there are 260 and 220 hours available at these two plants, respectively. Formulate an optimization model to find the optimal production quantity of Amplifiers at each plant that minimizes the total production cost. (Do NOT solve the model.)