________ _ I _ _ __'_____f A rm produces two commodities, A and B. The inverse demand functions are: p=9s2y, p3 =14m234y respectively, where the rm...

Can anyone help with question C,D,E and F only? Im stuck. Thank you very much

‘l'.________ _ I _ _ __'_____f A firm produces two commodities, A and B. The inverse demand functions are:pfl=9flfl—fls—2y, p3 =14m—23—4y respectively, where the firm produces and sells m units of commodity A. and 1; units of commodity B. Its costs are given by: on = 7000+ 100:.» + 3:2 and CE = 10000+sy“. 3 {a} Show that the firms total profit is given by: iris. a} = —3m2 — lfly2 — 4mg; + 300:: + 1400;: — 17000. (Ia) Assume sin, 3;} has a maximum point. Find, step by step, the production levels that maximizeprofit by solving the first—order conditions. Hyou need to solve any system of linear equations, use Cramer's rule and provide all calculation details. {c} Due to technology constraints, the total production must be restricted to be exactly (it) units.Find, step by step, the production levels that now maximize profits — using the LagrangeMethod. If you need to solve anyr system of linear equations, use Cramer's rule and provide all calculation details. You may assume that the optimal point exists in this case. {d} Report the Lagrange multiplier value at the maximum point and the maximal profit value from part [c]. No explanation is needed. {e} Using new technology, the total production can now be up to 201'! units {i.e. less or equal to Zflfl units}. Use the values from part [c] and part {d} to approximate the new maximal profit. {f} Calculate the true new maximal profit for part {e} and compare with its approximate valueyou obtained. By what percentage is the true maximal profit different from the approximate value?