Question: Inventory and optimal procurement policy (deterministic single item inventory model). A company employs a certain raw material whose consumption in the production cycle is constant

Inventory and optimal procurement policy (deterministic single item inventory model). A company employs a certain raw material whose consumption in the production cycle is constant over time and it wishes to find the optimal policy of procurement. We have the following information: - Consumption rate of raw material: 150 tons/day (54,000 tons/year). - Fixed cost for each order: £ 60,000. - Inventory carrying cost: £ 2/day. Now, the number of orders in a year is then found as: 54; 000 Q : Assuming on every day we have stock, the average quantity is: Q 2 The total cost of orders in a year is equal to: 60; 000, 54; 000 Q while total inventory carrying cost is equal to (days in a year 360): 2 , q 2 ,360: The objective function you are required to minimize with respect to q in Excel is therefore: CðQÞ ¼ 360,  9Mln Q þ Q  Use the tangent technique built with the Excel Data Table and the Solver. Plot the cost function and visualize the tangent at the minimum point.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Numerical Mathematical Economics Questions!