Suppose that a cost-minimizing firm's production function is given to be
Q = (20)*(M^0.5)*(W^0.5)
where M stands for the labor of men and W stands for the labor of women (Both of which are expressed in person-hours).
Suppose men receive $6 per hour and women receive $5.50 per hour. Moreover, suppose the firm uses 400 person-hours of W and 625 person-hours of M to produce 10,000 units of output.
Is this firm minimizing the cost of producing this given level of output? If not, explain what this firm should do?
How should i approach this question?