Reference no: EM133085032

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 = 80Q1 + 7Q1² + 93

Spartanburg: Cost = 20Q2 + 3Q2² + 147

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? When required, round your answers to the nearest dollar.

Question

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 $ _____________