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The average daily usage of 2 bottles is specified. How much to order depends upon how often an order is made:
If an order is made every day (ie the order period is 1 day), then the immediate minimum order number is zero: there are 12 bottles, tomorrow (when another order would be placed) there will be 12 - 2 = 10 bottles which is more than the minimum of 6.
If an order is made every two days or three days then, again, there is no need to order any as by the time the next order day comes around there will still be the minimum of 6 bottles.
Beyond 3 days, the usage will be more than the safety margin of 12 - 6 = 6 bottles that currently exists and an order must be placed. In this case, the minimum number to immediately order will be 2 x order_period - 6. eg if an order is placed once a week, the reorder period is 7 days giving a minimum of 2 x 7 - 6 = 8 bottles.
However, reality has a problem in that when an order is placed, it is usually not immediately fulfilled, but takes some time (known as the lead time) before the goods arrive. This can be factored in as extra usage during the lead time, meaning the minimum to order is now:
minimum_quantity = usage x (order_period + lead_time) - current_safety_margin
Note that if the lead time is greater than 3 days, the usage will be more than the current safety margin of 6 and there will be less than 6 bottles on the shelf.
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In the real world, when to order is determined by costs: every time an order is placed it has a cost associated with it (someone has to be paid to place the order, there may be a set delivery charge, etc) and the storage of goods also has a cost associated with it (storage space has a cost, keeping the conditions of the storage space right costs, etc). As the quantity ordered each time increases the cost of placing the order drops and the cost of storage rises. There is an optimum quantity to order which minimises the total cost of ordering and storing the goods.
With this optimum ordering quantity, when to reorder is calculated from the average [annual] usage to be when the current inventory falls to a certain level.
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You sell 2 bottles a day: 2x7=14
You want to have 6 at all times: 14+6=20
There are 12 on the shelf: 20-12=8
8 is the minimum number.
800 bottles
Apart from being a trick question, he would have to make 5 trips, four with 3 bottles and one trip with only 1 bottle.
100
This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).
213 213
5
When a firm attains minimum average variable cost, the number of units of labor it is using depends on the average product.
Actually, there is such a wide variety in the number of bottles of wine that average rack holds. Smaller racks can hold between 9-12 bottles where larger racks located in wine cellars can hold 100's of bottles.
That is not currently known.
4
If all ten poisoned bottles are in the first batch of ten, then on the first try, all rats will die and you'd know. If all ten poisoned bottles are in the last batch of ten, then on the 99th try you would know, as no rats had died. You wouldn't have to try the 100th time. The minimum number of tries, in the worst case scenario, is 99.
800 bottles
Apart from being a trick question, he would have to make 5 trips, four with 3 bottles and one trip with only 1 bottle.
12 games is considered the minimum number of games for a legal book average in a summer league.
100
There is a minimum number, it is one.
On average, there are 5 real-sized glasses of wine in a bottle. If each person has 2 glasses of wine, that's 140 glasses. Divide that by 5 and you get 28 standard sized 750ml bottles needed. You have options to get larger format bottles, such as magnums that are 1500ml, to cut down on the number of bottles.