4) The inverse demand function for mangos is p = 91 Sq, where q is the number of crates that are sold. The inverse supply function is p = 3 + 6q. In the past there was no tax on mangos but now a tax of $44 per crate has been imposed on suppliers. 0 What are the quantities produced before and after the tax was imposed? o How much tax is raised? 0 How much consumer surplus is lost? Producer surplus? Total deadweight loss? 5) Find the marginal product of each input, determine if the production function has diminishing marginal product for each input, determine if the production function has constant, increasing, or decreasing returnstoscale. x, )7) = min{12x, 3y}. 6) Find the marginal product of each input, determine if the production function has diminishing marginal product for each input, determine if the production function has constant, increasing, or decreasing returns-toscale. x, )2) = xy