How would I solve this? Please include steps and have a thorough explanation. (Include graphs)

D Question 1 0.2 pts Yudi always chooses to produce and consume 2 units of good y for every 1 unit of good x. Last month she produced and consumed 1 units of good x. She allocates L = Lx + Ly hours of her time to these activities. Her production functions are y = Ly and x = Lx1/2. Derive Yudi's Production Possibilities Boundary (Figure 1-2). How many hours did Yudi work last month? Round your final answer to 2 decimal places. D Question 2 0.8 pts Yudi always chooses to produce and consume 4 units of good y for every 1 unit of good x. Last month she produced and consumed 4 units of good x. She allocates L = Lx + Ly hours of her time to these activities. Her production functions are y = Ly and x = Lx1/2. Derive Yudi's Production Possibilities Boundary (Figure 1-2). How many hours did Yudi work last month? Round your final answer to 2 decimal places