A company buys in lots of 500 boxes which is a 3 month supply. The cost per box is Rs. 125 and the ordering cost in Rs. 150. The inventory carrying cost is estimated at 20% of unit value.
(i) Determine the total amount cost of existing inventory policy
(ii) Determine EOQ in units
(iii) How much money could be saved by applying the economic order quantity?

A dealer has to supply his customer with 400 units of a product per every week. The dealer gets the product from the manufacturer at a cost of Rs. 50 per unit. The cost of ordering from the manufacturers in Rs. 75 per order. The cost of holding inventory is 7.5 % per year of the product cost. Find (i) EOQ (ii) Total optimum cost.

Let u = log\(\frac { { x }^{ 4 }+{ y }^{ 4 } }{ x+y } \). By using Euler’s theorem show that \(x.\frac { \partial u }{ \partial x } +y.\frac { \partial u }{ \partial y } =3\) .

let u = x²y³ cos \(\left( \frac { x }{ y } \right) \) by using Euler’s theorem show that  \(x.\frac { \partial u }{ \partial x } +y.\frac { \partial u }{ \partial y } =5u\)

 The demand for a commodity x is q = 5-2p₁+ P₂ -\({ p }_{ 1 }^{ 2 }{ p }_{ 2 }\). Find the partial elasticities \(\frac { Eq }{ { EP }_{ 1 } } \) and \(\frac { Eq }{ { EP }_{ 2 } } \) when p₁= 3 and p₂ = 7