market supply

Need specific Solutions and clear steps:

Chanterelle mushrooms cannot be grown on a farm and must be foraged from the wild. Suppose foraging requires one month of training to identify the mushrooms. Once trained, harvesting the mushroom requires only labor as an input. Suppose the number of hours (L) required to harvest q pounds of mushrooms is

L = 1q3 + q + 2 33

for any positive production q > 0, but it does not require any time (L = 0) to gather no mushrooms (q = 0). When not gathering mushrooms, people can instead work for an hourly wage of w = 1. Once gathered, suppose chanterelle mushrooms can be sold at the farmers’ market at a price p dollars per pound. Consider a town where there are initially ten trained mushroom gatherers.