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 = 65Q1 + 5Q12 + 96
Spartanburg: Cost = 21Q2 + 3Q22 + 147
Where
Q1 = number of chairs produced at Aynor
Q2= number of chairs produced at Spartanburg
Andalus needs to manufacture a total of 50 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? When required, round your answers to the nearest dollar.
The optimal solution is to produce chairs at Aynor for a cost of $ and chairs at Spartanburg for a cost of $ . The total cost is $ .