The forge produces iron (x) with the cost function C_x(x)=20x^2, while it can sell the iron at the competitive price $16. The farmer produces apples (y) with the cost function C_y(x, y)=3y^2+2xy, while it can sell the apples at the competitive price $11. If the government wants to tax the forge to incentivize it to produce the socially optimal amount, how much should the government tax the forge per unit of iron produced? Round your answer to 2 decimal points.

Burke enterprises is considering a machine costing $30 billion that will result in initial after-tax cash savings of $3.7 billion at the end of the first year, and these savings will grow at a rate of 2 percent per year for 11 years. after 11 years, the company can sell the parts for $5 billion. burke has a target debt/equity ratio of 1.2, a beta of 1.79. you estimate that the return on the market is 7.5% and t-bills are currently yielding 2.5%. burke has two issuances of bonds outstanding. the first has 200,000 bonds trading at 98% of par, with coupons of 5%, face of $1000, and maturity of 5 years. the second has 500,000 bonds trading at par, with coupons of 7.5%, face of $1000, and maturity of 12 years. kate, the ceo, usually applies an adjustment factor to the discount rate of +2 for such highly innovative projects. should the company take on the project?