Suppose that the production function is Q=10K+5L and thatMP_L=5andMP_K=10

. The price of Labour is $3 and t he price of capital is $2.

1. Findthe optimal input choice (L and K) if the firm wanted to produce 50 goods.
2. Draw the Isoquant for Q=10 and Q=20
3. Plot the expansion path on the diagram in b).
4. Find the input demand function of L and K.(without knowing prices of Q, I want the general case)