If a firm producing in long run using capital and labour inputs,how the least cost combination of the input will be determined? show it mathematically and graphically

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If a firm producing in long run using capital and labour inputs,how
the least cost combination of the input will be determined? show it
mathematically and graphically

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a) Analyze the effect of a price ceiling in the market for wheat on equilibrium price and quantity. Will and producer surpluses. competitive market. consumers / producers / both benefit because of this price ceiling? Explain using changes in consumer technology affect market demand and/or supply, equilibrium price and equilibrium quantity in a (b) How will a simultaneous increase in the price of substitute good and an improvement in production
Cost of debt using both methods Currently, Warren Industries can sell 15-year, $1,000-par-value bonds paying annual interest at a 12% coupon rate. As a result of current interest rates, the bonds can be sold for $1,010 each; flotation costs of $30 per bond will be incurred in this process. The firm is in the 40% tax bracket. a. Find the net proceeds from sale of the bond, Nd. b. Show the cash flows from the firm’s point of view over the maturity of the bond. c. Calculate the before-tax and after-tax costs of debt. d. Use the approximation formula to estimate the before-tax and after-tax costs of debt. e. Compare and contrast the costs of debt calculated in parts c and d. Which approach do you prefer? Why?