Assume that fruit-picking can be done by children or adults, but that adults are twice as efficient as children (they pick twice as fast). The production function for fruit-picking is thus

Q = 10 (2L_A + L_C)

where output is measured in bushels of apples, labour is measures in days, L_A is the number of days of adult labour, and L_C is the number of days of child labour. (Hint: Treat adult labor and children labor as two factors. Put adult labor on vertical axis and children labor on horizontal axis.)

a) Depict the isoquants for a typical orchard (in terms of fruit-picking).

b) Assume the wage rate of adults is $100 per day, and the wage for children is $60 per day. Show the isocost lines.