SOLVER 7Problems: Nonlinear ProblemsFrigid Air company produces three different types of industrial refrigerators; A B and C. The production capacity of the plant is 1000 units per week. Sales department calculates the unit prices for these products as follows A= $1000 B= $1200 C=$1500. The manufacturing costs for these products are calculated by the following formulas:For A= 200A + A2For B = 250B + B2For C = 350C + C2How should the production be allocated in order to maximize profit?(Hint: Production numbers should be integers)