Blаck Diаmоnd prоduces climbing shоes. They employ lаbor, l, and capital, k to make their shoes. The amount of production (of pairs of shoes) for different amounts of labor and capital are . Their wage rate is, w=$4, their rental rate for capital is, r=$1. (a) (13 points) Find their cost minimizing level of l and k as a function of the amount of production.(b) (7 points) Imagine that the market price for a pair of shoes is p=$24, what level of production, maximizes Black Diamond's profits?