Sylvania is a small economy producing two products, X and Y, using two factors of production, capital and labour, under constant returns to scale. Capital and labour are freely mobile between sectors, but immobile internationally. Let QX and QY be the output quantities. Consumers have a utility function U(DX,DY)=DX+2DY, where DX and DY are consumptions of X and Y. The price ratio is defined as PPXPY.

Sylvania's production possibility frontier (PPF) is defined by the equation Q2X+6Q2Y=15, which has slope given by the marginal rate of transformation MRT=dQYdQX=16QXQY.

Answer the following questions. All numerical answers must be expressed as decimals (not whole numbers or fractions) and be accurate to two decimal places.