Question: A firm has a monthly production function where L is hours of labor per month and K is square feet of manufacturing space. The marginal

A firm has a monthly production function

where L is hours of labor per month and K is square feet of manufacturing space. The marginal product of labor is

The marginal product of capital is

a. If the hourly wage is $50 and manufacturing space costs $25 per square foot per month, what is the firm's least-cost input combination for producing 100 units?
b. Graph its output expansion path.
c. What is its cost function?

Q=F(L, K)=L+y1+K,

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