Find the marginal productivities for Capital (K) and Labour (L) if P = 10K-K² + KL when K = 2 and L = 6.

The demand for a quantity A is q = 16- 3P_I - 2P₂². Find the partial elasticities \({Eq\over EP_1}\) and \({Eq\over EP_2}\)

The relationship between Profit P and advertising cost x is given by \(P={4000x\over 500+x}-x\) . Find x which maximises P.

A Company uses annually 24,000 units of raw materials which costs Rs.1.25 per unit, placing each order costs Rs.22.50 and the holding costs is 5.4% per year of the average inventory. Find the EOQ, time between each order and total number of orders per year. Also, verify that at EOQ, carrying cost is equal to ordering cost

A firm has revenue function R = 8x and production cost function \(C = 150000 + 60\left(x^2\over 900\right)\) Find the total profit function and the number of units to be sold to get the maximum profit.