Frigid 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 + A2
For B = 250B + B2
For C = 350C + C2
How should the production be allocated in order to maximize profit?
(Hint: Production numbers should be integers)