Aproduction facility is trying to determine the best batch size for an item that is produced intermittently. this item has an annual demand of 1,000 units, an annual carrying cost of $10 per unit, and a setup cost of $400. they operate 50 weeks per year, and can produce 40 units per week. what is the best batch size for this item?

The best batch size for this item is 400 units.

Explanation:

As given Annual demand (D)=1000 units, Carrying cost (H)=$10 per unit, set up cost (S)=$400.

As per the production order model formula will be:

\sqrt{2}D*S/H[1-d/p]} .

d for week=1000/50

                 =20. p per day

                 =40 units/7 days.

                 =5.71

d per day = 20/7

                =2.85

Therefore on applying all these:\sqrt{}2*1000*400/10[1-2.85/5.7.

on solving this we will get 400 Units

Therefore, The best batch size for this item is 400 units.

answer; the correct answer should be (demonstrations); good luck

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.