Please solve on paper so I can follow the step and learn it

5. Given the demand function Q=10-3P + 2P, +0.2Y , where O is the quantity demanded, P is the price of the good, PA is the price of an alternative good A and Y is income, find (i) the own price elasticity of demand the cross price elasticity of demand (iii) the income elasticity of demand at P =5, PA = 3 and Y =150. Comment on the economic significance of your answers. 6. For each of the following production functions: (i) find the marginal product of Labour L and of Capital K (ii) comment on the returns to K and the returns to L (hint: you need to check the second partial derivatives to examine the returns to an input) (iii) show that the function is homogenous and state the degree of homogeneity (iv) identify whether the function exhibits increasing, decreasing or constant returns to scale a) Q= K1/3 L1/3 b) Q =K2/3 L C) Q = KL 7. If the production function is given by Y = AKLB, what values do the numbers a and B need to take if this production function is to have (a) diminishing returns to K (b) diminishing returns to L (c) constant returns to scale and (d) diminishing returns to scale