Can you possible help with this international trade (economics) question?

(HO model, with two goods and with two factors of production) Suppose that at current factor prices a ton of steel is produced using 2 work-hours (L) and 2 machine-hours, and a ton of rice is produced using only 1 work-hours (L) and 3 machine-hours. Suppose that the economy's total resources are 2000 units of work-hours and 3000 units of machine-hours. Initially, Ps = $200/ton & P, =$160/ton. i. Draw the production possibility frontier with steel on the vertical axis and rice on the horizontal axis. ( 6 points) ii. Write down the unit cost of producing one ton of steel and one ton of rice as a function of the hourly wage rate (w) and the rental rate (r). In a competitive market, these costs will be equal to the prices of steel and rice. Solve for the factor prices w and r. ( 7 points) iii. Now suppose that the labor supply increases to 2500 hours. State and prove the Rybczynski theorem. ( 6 points) iv. Suppose P, increases to $200/ton (from the initial situation).State and prove the Stolper-Samuelson theorem. (6 points)