J Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost of producing Q1 chairs at Aynor and Q2 at Spartanburg as given below.
75Q1+5Q12 +100 25Q2 + 2.5 Q22 + 150
The company needs to manufacture a total of 40 kitchen chairs to meet an order just received. How many chairs should be made at Aynor, and how many should be made at Spartanburg to minimize total production cost?