He quantity, upper q comma of a certain product manufactured depends on the quantity of labor, upper l, and of capital, upper k, used according to the function upper q equals 9 0 0 upper l superscript startfraction 1 over 2 endfraction baseline upper k superscript startfraction 2 over 3 endfraction baseline period labor costs dollar-sign baseline 100 per unit and capital costs dollar-sign baseline 200 per unit. what combination of labor and capital should be used to produce 35,100 units of the goods at minimum cost? what is that minimum cost?