3 ranchers use a grassland to feed their cows. The ranchers must choose how many cows to raise. The benet of raising a cow for a rancher is 90 C per cow, where C is the total quantity of cows using the grassland. The marginal cost of raising a cow depends on the number of cows and equal to M C = 69i, where gi is the number of cows raised by a rancher i, i = 1'23. 6' 1)What is the optimization problem that rancher 1 solves'k' 2)The social optimum solves: