Solution

The question seems to have some typographical errors and is not clear. However, I’ll try to provide a general answer based on the information given.

The production function given is f(x1,x2)=x1×x2. This is a Cobb-Douglas production function.

The profit maximizing demand functions (also known as input demand functions) can be derived from the cost minimization problem. The cost minimization problem is to choose inputs x1 and x2 to minimize cost subject to the constraint that output is at a given level.

The supply function can be derived from the profit maximization problem. The profit maximization problem is to choose output level to maximize profit given the prices of inputs and output.

The profit function is the difference between total revenue and total cost. In this case, if p is the price of output, w1 and w2 are the prices of inputs x1 and x2 respectively, and q is the quantity of output, then the profit function is π=pq−w1x1−w2x2.

Without specific information about prices and output level, it’s not possible to provide the specific forms of the demand and supply functions and the profit function.