Problem 12-27 (algorithmic) 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 = 67q1 + 4q12 + 100 spartanburg: cost = 21q2 + 2.5q22 + 146 where q1 = number of chairs produced at aynor q2= number of chairs produced at spartanburg andalus needs to manufacture a total of 30 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.