a) a liquor warehouse expects to sell 10,000 bottles of whiskey in a year. Each bottle costs $10 plus a fixed charge of $75 per order. If it costs $6 to store a bottle for a year,how many bottles should be ordered at a time and how many orders should the warehouse place in a year to minimize inventory costs?

b) A whiskey manufacturer estimates the demand for a bottle to be 2000 per year. Each bottle costs $3 to manufacture, plus storage costs of $500 for each production run. If a bottle can be stored for a year for a Cost of $2, how many should be manufactured at a time and how many production runs should there be to minimize costs?