The output of an economic system q, subject to two inputs, such as labor l and capital k, is often modeled by the cobb-douglas production function q=cl^a k^b. when a+b=1, the case is called constant returns to scale. suppose q=12,200, a = 1/6, b= 5/6, and c=42. find the rate of change of capital with respect to labor, dk/dl.

Sophia wrote an equation to represent the revenue of a movie theater for one day. she let x represent the number of child tickets sold and y represents the nunver of adult tickets sold. if a child ticket cost $4, an adult ticket cost $6, and the total revenue for the daybwas $420, which equation could sophia use to represent the number of chikd and adult tickets that were sold?