Afactory produces product a according to the production function qa = 100xa, where xa denotes the amount of input and qa is the quantity produced. it also produces product b according to the production function qb = 200xb - xb2, where xb denotes the amount of input and qb is the quantity produced. the total available amount of input x is 100 units. the firm’s profit-maximizing allocation of input x is: group of answer choices xa = 60 and xb = 40. xa = 50 and xb = 50. xa = 0 and xb = 100. xa = 100 and xb = 0. xa = 30 and xb = 70.

Option (B) is correct.

Explanation:

XA + XB = 100

QA = 100XA

QB = 200XB - XB^2

Use the fact that,

XA = 100 - XB

Now total production is Q = QA + QB

Q = 100XA + 200XB - XB^2

Q = 100 × (100 - XB) + 200XB - XB^2

Q = 10,000 + 100XB - XB^2

Output is maximum when Q'(XB) = 0

100 = 2XB = 0

XB = 50

XA = 50

Therefore, the firm’s profit-maximizing allocation of input X is 50 units of XA and 50 units of XB.

i believe the answer is: streets and roads

public property refers to the property that can be used by all legal citizens in a certain country. the public property was created and maintain using the government budget that allocated specifically for it. the budget itself come from the citizen's income tax payment.