Consider a revenue$-$sharing contract that the manufacturer takes $$ in $[0,1]$ portion from the retailer$$s$$revenue$.$ The wholesale price the manufacturer charges is w $=15$ per unit, the retailer price is r $=100$per unit, the production cost is c $=20$ per unit and the salvage value is v $=10$ per unit. Suppose$$the demand distribution is continuous and uniformly distributed between $0$ to $100.$ Caculate the$$revenue$-$sharing percentage $$ that corrdinates the supply chain.