A manufacturer makes a product from two raw materials. The quantity produced is given by Q=c*x^a*y^b where x is the quantity of the first raw material, y is the quantity of the second raw material and a, b and c are positive constants. Suppose the first raw material costs $P1 per pound and the second raw material costs $P2 per pound. Find the maximum amount of the product that can be produced, if no more than $K can be spent on raw materials.

If someone could take me through this problem step by step, it'd be greatly appreciated!

Question

A manufacturer makes a product from two raw materials. The quantity produced is given by Q=c*x^a*y^b where x is the quantity of the first raw material, y is the quantity of the second raw material and a, b and c are positive constants. Suppose the first raw material costs $P1 per pound and the second raw material costs $P2 per pound. Find the maximum amount of the product that can be produced, if no more than $K can be spent on raw materials. 

If someone could take me through this problem step by step, it'd be greatly appreciated!