A supplier to Toyota stamps out parts using a press. Changing a part type requires the supplier to change the die on the press. This changeover currently takes four hours. The supplier estimates that each hour spent on the changeover costs $250. Demand for parts is 1,000 per month. Each part costs the supplier $100, and the supplier incurs an annual holding cost of 25%.
a. Determine the optimal production batch size for the supplier.
b. Toyota wants the supplier to reduce its batch size by a factor of 2; that is, if the supplier currently produces Q parts per batch, Toyota would like them to produce Q/2 parts per batch. What should the supplier do in order to make this amount optimal for him? (In other words, what setup time creates a scenario in which the optimal batch size drops to 1/2 of its current level?)

The EOQ is 980 units and should reduce the fixed ordering cost to an amount of $62.50.

Explanation:

a) Annual demand=Qty per mth multiply with 12 = 1000 multiply with 12 =12000

Annual demand in USD, A= 12000 multiply with USD 100 (cost of each part) = USD 1200000

Preparation cost, P= 4 hrs changeover time multiply with USD 250 per hr = USD 1000

Annual holding cost, I = 25% = 0.25

EOQ in USD= Root over (2 multiply with A multiply with P divide by I ) = USD 9.79 multiply with 10000 = USD 98000

EOQ in nos. = USD 98000 divide by USD 100 (cos of each part) = 980 units

b)  Q = 980 divide by 4 = 245

In this case, annual carryring cost, C = EOQ 980 by 4 multiply with 0.5 multiply with Unit cost USD 100 multiply with 0.25 = USD 3062.50

Annual demand, D = 1000 per month multiply with 12 = 12000

Ordering cost = C multiply with 245 / D = USD 62.50

b. a single paragraph.

a paragraph is a series of sentences that are organized and make sense, and are all related to a single topic . almost every piece of writing you do that is longer than a few sentences should be organized into paragraphs. this is because paragraphs show a reader where the subdivisions of an essay begin and end, and thus the reader see the organization of the essay into subjects in order to be able to understand its main points.

answer; ///i believe the correct answer is(e) complementary to each other;