Andalus Furniture Company has two manufacturing plants, one at A

Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here.

Aynor: Cost = 75Q1 + 5Q21+ 100

Spartanburg: Cost = 25Q2 + 2.5Q22+ 150

Where

Q1 = number of chairs produced at Aynor

Q2 = number of chairs produced at Spartanburg


Andalus 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 in order to minimize total production cost?