A monopoly operates with the marginal cost function MC = 20 + 4q and faces the demand function p = 400 − 8q If a per unit tax t is imposed on its output derive reduced form equations for the profit maximizing values of p and q in terms of the tax t and use them to predict the effect of a one unit increase in the tax on price and quantity. Assume that fixed costs are low enough to allow positive profits to be made.

the weight of the object inside the box!

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

b.

step-by-step explanation: