Suppose the demand of a product produced by a production firm is 8000 per year (1 year = 312 days) and it occurs at a constant rate. The production rate of the product per year is 10000. The set up cost of setting a machine for the production of the product is 600 Taka. The selling price per unit of the product is 1000 Taka. The inventory holding cost per unit per year is calculated as 5% of the selling price per unit. Assuming selling of the product starts from the outset of production and there is no occurrence of shortages of the product,

b) Let the cost of inspection is given by 30Q, where $30 is the cost per unit of inspection and the cost of passing defectives is estimated as 12000/Q.

i. ii. iii.

Find the optimal amount of inspection that minimizes the associated total cost. Find the associated minimal total cost. Find the total costs at Q = 16 and Q = 24 and highlight their relationship with the cost of optimal quantity of inspection

Answer the question no B part (i , ii ,ii )