Question: please assist with following q2 consider the general supply function...
Please assist with following:
Q2. Consider the general supply function:
Qs = 1,000 + 20 P - 9 PI +25 F
where Qs= quantity supplied, P = price of the commodity, PI = price of a key input in the production process, and F = number of firms producing the commodity.
a. Interpret the slope parameters on P, PI, and F. (1 point)
b. Derive the equation for the supply function when PI= $480 and F = 60. (1 point)
c. Sketch a graph of the supply function in part b. At what price does the supply curve intersect the price axis? Give an interpretation of the price intercept of this supply curve. (1point)
d. Using the supply function from part b, calculate the quantity supplied when the price of the commodity is $1,000 and $1,500.(1 point)
e. Derive the inverse of the supply function in part b. Using the inverse supply function, calculate the supply price for 40,000 units of the commodity. Give an interpretation of this supply price. (1 point)
f. Suppose the supply curve for good X passes through the point P = $35, Qs = 2,500. Give two interpretations of this point on the supply curve. (2.5 point)